Modeling Group

@article{boudin_1894,

title = {A kinetic model of polyatomic gas with resonant collisions},

author = {Laurent Boudin and Alex Rossi and Francesco Salvarani},

url = {https://doi.org/10.1007/s11587-022-00733-1},

year  = {2022},

date = {2022-09-01},

journal = {Ricerche Di Matematica},

keywords = {},

pubstate = {online},

tppubtype = {article}

}

@article{salhi_1885,

title = {Well-posedness and numerical approximation of steady convection-diffusion-reaction problems in porous media},

author = {Loubna Salhi and Mohammed Seaid and Driss Yakoubi},

url = {https://www.sciencedirect.com/science/article/abs/pii/S0898122122003443},

year  = {2022},

date = {2022-08-01},

journal = {Computers & Mathematics With Applications},

volume = {124},

pages = {129-148},

abstract = {We study a class of steady nonlinear convection-diffusion-reaction problems in porous media. The governing equations consist of coupling the Darcy equations for the pressure and velocity fields to two equations for the heat and mass transfer. The viscosity and diffusion coefficients are assumed to be nonlinear depending on the temperature and concentration of the medium. Well-posedness of the coupled problem is analyzed and existence along with uniqueness of the weak solution is investigatedbased on a fixed-point method. An iterative scheme for solving the associated fixed-point problem is proposed and its convergence is studied. Numerical experiments are presented for two examples of coupled convection-diffusion-reaction problems. Applications to radiative heat transfer and propagation of thermal fronts in porous media are also included in this study. The obtained results show good numerical convergence and validate the established theoretical estimates.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{el-amrani_1887,

title = {An iterative scheme for solving acoupled Darcy-convection-diffusion model},

author = {Mofdi El-Amrani and Loubna Salhi and Mohammed Seaid and Driss Yakoubi},

url = {https://www.sciencedirect.com/science/article/pii/S0022247X22006175},

year  = {2022},

date = {2022-08-01},

journal = {Journal Of Mathematical Analysis And Applications},

volume = {517},

number = {2},

pages = {1-24},

abstract = {We present an iterative scheme for the numerical analysis of a class of coupled Darcy-convection-diffusion problems modelling flow and heat transfer in porous media. The governing equations consist of the Darcy equations for the flow coupled to a convection-diffusion equation for heat transfer with nonlinear viscosity and diffusion coefficient depending on the temperature. Existence and uniqueness of the weak solution for the considered problem are first analyzed using a fixed-point method and then convergence study of two iterative schemes for the fixed-point algorithm is presented. Two numerical examples are selected to validate the theoretical estimates and to demonstrate the performance of the proposed algorithm. The obtained results support our theoretical expectations for a good numerical convergence with the developed estimates.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{montiel_1922,

title = {Effect of architecture disorder on the elastic response of two-dimensional lattice materials},

author = {Antoine Montiel and Thuy Nguyen and Cindy Rountree and Valérie Geertsen and Patrick Guenoun and Daniel Bonamy},

url = {https://journals.aps.org/pre/abstract/10.1103/PhysRevE.106.015004?ft=1},

year  = {2022},

date = {2022-07-01},

journal = {Physical Review E},

volume = {106},

number = {1},

pages = {015004},

abstract = {We examine how disordering joint position influences the linear elastic behavior of lattice materials via numerical simulations in two-dimensional beam networks. Three distinct initial crystalline geometries are selected as representative of mechanically isotropic materials with low connectivity, mechanically isotropic materials with high connectivity, and mechanically anisotropic materials with intermediate connectivity. Introducing disorder generates spatial fluctuations in the elasticity tensor at the local (joint) scale. Proper coarse-graining reveals a well-defined continuum-level scale elasticity tensor. Increasing disorder aids in making initially anisotropic materials more isotropic. The disorder impact on the material stiffness depends on the lattice connectivity: Increasing the disorder softens lattices with high connectivity and stiffens those with low connectivity, without modifying the scaling between elastic modulus and density (linear scaling for high connectivity and cubic scaling for low connectivity). Introducing disorder in lattices with intermediate fixed connectivity reveals both scaling: the linear scaling occurs for low density, the cubic one at high density, and the crossover density increases with disorder. Contrary to classical formulations, this work demonstrates that connectivity is not the sole parameter governing elastic modulus scaling. It offers a promising route to access novel mechanical properties in lattice materials via disordering the architectures.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{levy_1924,

title = {DevOps Model Appproach for Monitoring Smart Energy Systems},

author = {Loup-Noé Levy and Jérémie Bosom and Guillaume Guérard and Sofiane Ben Amor and Marc Bui and Hai Tran},

url = {https://www.mdpi.com/1996-1073/15/15/5516},

year  = {2022},

date = {2022-07-01},

journal = {Energies},

volume = {15},

number = {15},

pages = {5516},

abstract = {Energy systems are often socio-technical complex systems that are facing new challenges regarding technological and environmental changes. Because of their complex nature, they cannot be approached solely through analytical modeling, hence the inefficiency of most classical modeling approaches. In this article, a Hybrid Approach based on both systemic and analytical modeling is presented and applied to a case study. From this novel approach, a model?the Multi-Institution Building Energy System?is presented. It allowed us to highlight and detail the need for greater governance of energy systems. The socio-technical solutions identified to answer the issues of governance (Accuracy, Reliability and Fairness) were DevOps methodology and the use of Distributed Microservices Architecture. Based on this framework, the design of a Decision Support System assuring and exploiting state-of-the-art scalable tools for data management and machine learning factories is described in this article. Moreover, we wish to set up the conceptual basis necessary for the design of a generic theoretical framework of optimization applicable to complex socio-technical systems in the context of the management of a shared resource.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{ben_abdallah_1721,

title = {Modeling of viscoelastic behavior of a shape memory polymer blend},

author = {Abir Ben Abdallah and Achraf Kallel and Abbas Tcharkhtchi and Tarek Hassine and Fehmi Gamaoun},

url = {https://onlinelibrary.wiley.com/doi/10.1002/app.51859},

year  = {2022},

date = {2022-05-01},

journal = {Journal Of Applied Polymer Science},

volume = {139},

number = {13},

pages = {51859},

abstract = {Shape memory effect (SME) of polymers is a property that concerns both,

macroscopic and microscopic changes. The variation of internal polymer

properties such, as molecular weight (Mw), rigidity, and viscoelasticity could

alter its SME. In this study, a bi-parabolic model with six parameters is used to

describe the viscoelastic behavior of a shape memory polymer (SMP) blend

(40% poly(caprolactone), PCL/60% Styrene-Butadiene-Styrene) with different

PCL Mw. These parameters are determined using the Cole-Cole method.

Modeling curves (E00 = f (E0)) will be then compared to experimental data from

dynamical mechanical analysis (DMA) tests. It is shown that the bi-parabolic

model predicts well the behavior of the SMP mixture for different Mw of PCL.

Afterwards, the evolution of the model parameters with the Mw of PCL is

investigated. It is revealed that, when Mw of PCL drops, the relaxation modulus

E0 increases. This result proves that the rigidity of the SMP blend rises with

Mw declines.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{taleb_1836,

title = {A Flexible Deep Learning Method for Energy Forecasting},

author = {Ihab Taleb and Guillaume Guérard and Nga Nguyen and Frédéric Fauberteau},

url = {https://www.mdpi.com/1996-1073/15/11/3926},

year  = {2022},

date = {2022-05-01},

journal = {Energies},

volume = {15},

number = {11},

pages = {3926},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{yakoubi_1803,

title = {Characteristics/finite element analysis for two incompressible fluid flows with surface tension using level set method},

author = {Driss Yakoubi and Christine Bernardi and Sarra Maarouf},

url = {https://www.sciencedirect.com/science/article/pii/S0045782522001530},

year  = {2022},

date = {2022-03-01},

journal = {Computer Methods In Applied Mechanics And Engineering},

volume = {394},

number = {XXXX},

pages = {Paper No. 114843},

abstract = {In this paper, we present and analyze a finite element level set method based on the method of characteristics for two phase

flow. Surface tension effects are taken into account by the CSF approach. We first write the variational formulation of the problem and investigate its well-posedness. Next, for the discretization, a first order method of characteristics approach for the

evolution of the level set function and for the material derivative of the velocity is used. The velocity and pressure unknowns

are discretized by P2? P1 Taylor-Hood finite elements. Then, in each time step, the interface transport is decoupled from the

Navier-Stokes equations. Well-posedness results for subproblems in this decoupled discrete problem are derived. Furthermore,

under high regularity assumptions, we state error estimates for our scheme. Ultimately, three computational examples illustrate

the performance of the proposed method.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{maarouf_1803,

title = {Characteristics/finite element analysis for two incompressible fluid flows with surface tension using level set method},

author = {Sarra Maarouf and Christine Bernardi and Driss Yakoubi},

url = {https://www.sciencedirect.com/science/article/pii/S0045782522001530},

year  = {2022},

date = {2022-03-01},

journal = {Computer Methods In Applied Mechanics And Engineering},

volume = {394},

pages = {114843},

abstract = {In this paper, we present and analyze a finite element level set method based on the method of characteristics for two phase

flow. Surface tension effects are taken into account by the CSF approach. We first write the variational formulation of the problem and investigate its well-posedness. Next, for the discretization, a first order method of characteristics approach for the

evolution of the level set function and for the material derivative of the velocity is used. The velocity and pressure unknowns

are discretized by P2? P1 Taylor-Hood finite elements. Then, in each time step, the interface transport is decoupled from the

Navier-Stokes equations. Well-posedness results for subproblems in this decoupled discrete problem are derived. Furthermore,

under high regularity assumptions, we state error estimates for our scheme. Ultimately, three computational examples illustrate

the performance of the proposed method.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{yakoubi_1802,

title = {A new energy stable fractional time stepping scheme for the Navier-Stokes/Allen-Cahn diffuse interface model},

author = {Driss Yakoubi and Jean Deteix and Gerard Lionel Ndetchoua Kouamoa},

url = {https://www.sciencedirect.com/science/article/pii/S0045782522001104},

year  = {2022},

date = {2022-02-01},

journal = {Computer Methods In Applied Mechanics And Engineering},

volume = {393},

number = {XXXX},

pages = {Paper No. 114759, 25},

abstract = {In this work, we present an original time-discrete formulation of the coupled equations relating the velocity and pressure

of an unsteady flow of two immiscible fluids and the Allen-Cahn equation describing the interface between both of them. We

first prove this time-discrete formulation (based on the concept of coupled projection scheme (Deteix et al., 2014)) to be well

posed and energy stable. We then propose a new family of iterative schemes for the actual approximation of solutions. We

complete this work with numerical tests illustrating the order of accuracy and applying the new scheme on the well known

rising bubble benchmark.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{deteix_1802,

title = {A new energy stable fractional time stepping scheme for the Navier-Stokes/Allen-Cahn diffuse interface model},

author = {Jean Deteix and Gerard Lionel Ndetchoua Kouamoa and Driss Yakoubi},

url = {https://www.sciencedirect.com/science/article/pii/S0045782522001104},

year  = {2022},

date = {2022-02-01},

journal = {Computer Methods In Applied Mechanics And Engineering},

volume = {393},

pages = {114759},

abstract = {In this work, we present an original time-discrete formulation of the coupled equations relating the velocity and pressure

of an unsteady flow of two immiscible fluids and the Allen-Cahn equation describing the interface between both of them. We

first prove this time-discrete formulation (based on the concept of coupled projection scheme (Deteix et al., 2014)) to be well

posed and energy stable. We then propose a new family of iterative schemes for the actual approximation of solutions. We

complete this work with numerical tests illustrating the order of accuracy and applying the new scheme on the well known

rising bubble benchmark.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{yakoubi_1795,

title = {A projection scheme for phase change problems with convection},

author = {Driss Yakoubi},

url = {https://www-sciencedirect-com.acces.bibl.ulaval.ca/science/article/pii/S0898122122000013?via%3Dihub},

year  = {2022},

date = {2022-01-01},

journal = {Computers & Mathematics With Applications},

volume = {108},

number = {1},

pages = {109-122},

abstract = {Numerical modeling of phase change problems with convection is known to be computationally expensive. The main challenge comes from the coupling between Navier-Stokes and heat energy equations. In this paper, we develop a new scheme for phase change problems based on a projection method. The proposed method reduces the size of the system by splitting the temperature, the velocity, and the pressure fields while preserving the accuracy of the simulations. A single-domain approach using a variant of the enthalpy-porosity formulation is employed. Incompressible Navier-Stokes problem with Boussinesq approximation for thermal effects in solid and liquid regions is considered. We regularize the discontinuous variables such as latent heat and material properties by a continuous and differentiable hyperbolic tangent function. The robustness and effectiveness of the proposed scheme are illustrated by comparing the numerical results with numerical and experimental benchmark},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{el_haddad_1795,

title = {A projection scheme for phase change problems with convection},

author = {Mireille El Haddad and Youssef Belhamadia and Jean Deteix and Driss Yakoubi},

url = {https://www-sciencedirect-com.acces.bibl.ulaval.ca/science/article/pii/S0898122122000013?via%3Dihub},

year  = {2022},

date = {2022-01-01},

journal = {Computers & Mathematics With Applications},

volume = {108},

number = {1},

pages = {109-122},

abstract = {Numerical modeling of phase change problems with convection is known to be computationally expensive. The main challenge comes from the coupling between Navier-Stokes and heat energy equations. In this paper, we develop a new scheme for phase change problems based on a projection method. The proposed method reduces the size of the system by splitting the temperature, the velocity, and the pressure fields while preserving the accuracy of the simulations. A single-domain approach using a variant of the enthalpy-porosity formulation is employed. Incompressible Navier-Stokes problem with Boussinesq approximation for thermal effects in solid and liquid regions is considered. We regularize the discontinuous variables such as latent heat and material properties by a continuous and differentiable hyperbolic tangent function. The robustness and effectiveness of the proposed scheme are illustrated by comparing the numerical results with numerical and experimental benchmark},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{boudin_1819,

title = {Exponential Convergence Towards Consensus for Non-Symmetric Linear First-Order Systems in Finite and Infinite Dimensions},

author = {Laurent Boudin and Francesco Salvarani and Emmanuel Trélat},

url = {https://epubs.siam.org/doi/abs/10.1137/21M1416102},

year  = {2022},

date = {2022-01-01},

journal = {Siam Journal On Mathematical Analysis},

volume = {54},

number = {3},

pages = {2727-2752},

abstract = {We consider finite and infinite-dimensional first-order consensus systems with time- constant interaction coefficients. For symmetric coefficients, convergence to consensus is classically established by proving, for instance, that the usual variance is an exponentially decreasing Lyapunov function. We investigate here the convergence to consensus in the non-symmetric case: we identify a positive weight which allows us to define a weighted mean corresponding to the consensus and obtain exponential convergence towards consensus. Moreover, we compute the sharp exponential decay rate.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{gurcan_1825,

title = {Phase and amplitude evolution in the network of triadic interactions of the Hasegawa-Wakatani system},

author = {Özgür Gürcan and Johan Anderson and Sara Moradi and Alessandro Biancalani and Pierre Morel},

url = {https://aip.scitation.org/doi/10.1063/5.0089073},

year  = {2022},

date = {2022-01-01},

journal = {Physics Of Plasmas},

volume = {29},

number = {5},

pages = {052306},

abstract = {The Hasegawa-Wakatani system, commonly used as a toy model of dissipative drift waves in fusion devices, is revisited with considerations

of phase and amplitude dynamics of its triadic interactions. It is observed that a single resonant triad can saturate via three way phase

locking, where the phase differences between dominant modes converge to constant values as individual phases increase in time. This allows

the system to have approximately constant amplitude solutions. Non-resonant triads show similar behavior only when one of its legs is a

zonal wave number. However, when an additional triad, which is a reflection of the original one with respect to the y axis is included, the

behavior of the resulting triad pair is shown to be more complex. In particular, it is found that triads involving small radial wave numbers

(large scale zonal flows) end up transferring their energy to the subdominant mode which keeps growing exponentially, while those involving

larger radial wave numbers (small scale zonal flows) tend to find steady chaotic or limit cycle states (or decay to zero). In order to study the

dynamics in a connected network of triads, a network formulation is considered, including a pump mode, and a number of zonal and non-

zonal subdominant modes as a dynamical system. It was observed that the zonal modes become clearly dominant only when a large number

of triads are connected. When the zonal flow becomes dominant as a ?collective mean field,? individual interactions between modes become

less important, which is consistent with the inhomogeneous wave-kinetic picture. Finally, the results of direct numerical simulation are dis-

cussed for the same parameters, and various forms of the order parameter are computed. It is observed that nonlinear phase dynamics results

in a flattening of the large scale phase velocity as a function of scale in direct numerical simulations.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{chami_1564,

title = {Thermodynamic characterization of mixed gas hydrates in the presence of cyclopentane as guest molecule for an application in secondary refrigeration},

author = {Nada Chami and Sabrina Bendjenni and Pascal Clain and Véronique Osswald and Anthony Delahaye and Laurence Fournaison and Didier Dalmazzone},

url = {https://www.sciencedirect.com/science/article/pii/S0009250921003559},

year  = {2021},

date = {2021-11-01},

journal = {Chemical Engineering Journal},

volume = {244},

number = {-},

pages = {116790},

abstract = {Gas hydrates have drawn the attention of many scientists because of their potential role in energy applications. By using some thermodynamic promoters, it is possible to form hydrates at reduced pressure and near ambient temperature, which are suitable formation conditions for most industries. In this study, a high pressure micro differential scanning calorimeter was used to measure the dissociation conditions of mixed cyclopentane (c-C5H10) + CO2 hydrates in the system composed of liquid water + liquid hydrocarbon + hydrate + vapour, in a pressure range of 0 to 4.3 MPa in a temperature range of 280 to 292 K. The analysis of the heat flow curve allowed the direct determination of the dissociation enthalpy of c-C5H10 + CO2 hydrates (e.g., ?H=462.5±1.5 kJ. kg-1 water at equilibrium pressure 0.25 MPa) and the average mass heat capacity of c-C5H10 + CO2 hydrates in a temperature range o 277.9-281.2 K (CpH = 1479.09 ± 137.43 J. K-1. kg-1 hydrate at 0.25 MPa).},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{guerard_1732,

title = {Isolated Areas Consumption Short-Term Forecasting Method},

author = {Guillaume Guérard and Hugo Pousseur and Ihab Taleb},

url = {https://www.mdpi.com/1996-1073/14/23/7914},

year  = {2021},

date = {2021-11-01},

journal = {Energies},

volume = {14},

number = {23},

pages = {7914},

abstract = {Forecasting consumption in isolated areas represents a challenging problem typically resolved using deep learning or huge mathematical models with various dimensions. Those models require expertise in metering and algorithms and the equipment needs to be frequently maintained. In the context of the MAESHA H2020 project, most of the consumers and producers are isolated. Forecasting becomes more difficult due to the lack of external data and the significant impact of human behaviors on those small systems. The proposed approach is based on data sequencing, sequential mining, and pattern mining to infer the results into a Hidden Markov Model. It only needs the consumption and production curve as a time series and adapts itself to provide the forecast. Our method gives a better forecast than other prediction machines and deep-learning methods used in literature review.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{guerard_1604,

title = {USoM platform. Proposal for an international and transdisciplinary interactive tool for centralization and anthropological exchange around human remains},

author = {Guillaume Guérard and Sofiane Ben Amor and Philippe Charlier and Anais Augias},

url = {https://www.sciencedirect.com/science/article/pii/S2352552521000542},

year  = {2021},

date = {2021-09-01},

journal = {ETHICS, MEDICINE AND PUBLIC HEALTH},

volume = {18},

number = {September},

pages = {1-6},

abstract = {Background



In a previous article related to ethical reflection around the study of human remains and their biological products in archaeological, ethnographic and museum contexts, a general scientific isolation - going against the common interest and leading to certain forms of misconduct - had been raised. It appeared a real need to act in the direction of transparency and a transdisciplinary union.

Methodology



This conclusion led to further reflection on the strengths and technical creation of a tool dedicated to the exchange between sciences relating to the study of man.

Results/Discussion



We propose the creation of a platform dedicated to all international scientific actors whose issues are related to research on humans. This involves proposing the development of a participatory/collaborative virtual platform on which scientific organizations would exchange their study materials, their samples, their tools, their knowledge, their reflections and hypotheses and then the resulting data in order to no longer work in isolation.

Conclusion/Perspectives



This multidisciplinary vision to the study of Man, without spatial or chronological boundaries, will be a contribution to each of the disciplines involved and the benefits of this platform are multiple. However, this coalition approach exposes academic, technical and legal difficulties and represents a real challenge because it requires profound changes.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{augias_1604,

title = {USoM platform. Proposal for an international and transdisciplinary interactive tool for centralization and anthropological exchange around human remains},

author = {Anais Augias and Sofiane Ben Amor and Philippe Charlier and Guillaume Guérard},

url = {https://www.sciencedirect.com/science/article/pii/S2352552521000542},

year  = {2021},

date = {2021-09-01},

journal = {ETHICS, MEDICINE AND PUBLIC HEALTH},

volume = {18},

pages = {100677},

abstract = {Background



In a previous article related to ethical reflection around the study of human remains and their biological products in archaeological, ethnographic and museum contexts, a general scientific isolation - going against the common interest and leading to certain forms of misconduct - had been raised. It appeared a real need to act in the direction of transparency and a transdisciplinary union.

Methodology



This conclusion led to further reflection on the strengths and technical creation of a tool dedicated to the exchange between sciences relating to the study of man.

Results/Discussion



We propose the creation of a platform dedicated to all international scientific actors whose issues are related to research on humans. This involves proposing the development of a participatory/collaborative virtual platform on which scientific organizations would exchange their study materials, their samples, their tools, their knowledge, their reflections and hypotheses and then the resulting data in order to no longer work in isolation.

Conclusion/Perspectives



This multidisciplinary vision to the study of Man, without spatial or chronological boundaries, will be a contribution to each of the disciplines involved and the benefits of this platform are multiple. However, this coalition approach exposes academic, technical and legal difficulties and represents a real challenge because it requires profound changes.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{jaffal-moutarda_1356,

title = {Global existence of the 3D rotating second grade fluid system},

author = {Basma Jaffal-Moutarda},

url = {https://content.iospress.com/articles/asymptotic-analysis/asy201644},

year  = {2021},

date = {2021-08-01},

journal = {Asymptotic Analysis},

volume = {124},

number = {3-4},

pages = {259-290},

abstract = {We consider the equations of a rotating incompressible non-Newtonian fluid flow of grade two in a three dimensional torus. We prove two different results of global existence of strong solutions. In the first case, we consider that the elasticity coefficient ? is arbitrary and we suppose that the third components of the vertical average of the initial data and of the forcing term are small compared to the horizontal components. In the second case, we consider a forcing term and initial data of arbitrary size but we restrict the size of ?. In both cases, we show that the limit system is composed of a linear system and a second grade fluid system with two variables and three components.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{bobbia_1682,

title = {The coupling method in extreme value theory},

author = {Benjamin Bobbia and Clément Dombry and Davit Varron},

url = {https://projecteuclid.org/journals/bernoulli/volume-27/issue-3/The-coupling-method-in-extreme-value-theory/10.3150/20-BEJ1293.short},

year  = {2021},

date = {2021-08-01},

journal = {Bernoulli},

volume = {27},

number = {3},

pages = {1824-1850},

abstract = {A coupling method is developed for univariate extreme value theory, providing an alternative to the use of the tail empirical/quantile processes. We emphasize the Peak-over-Threshold approach that approximates the distribution above high threshold by the Generalized Pareto Distribution (GPD) and compare the empirical distribution of exceedances to the empirical distribution associated with the limit GPD model. Sharp bounds for their Wasserstein distance in the second order Wasserstein space are provided. As an application, we recover standard results on the asymptotic behavior of the Hill estimator, the Weissman extreme quantile estimator or the probability weighted moment estimators, shedding some new light on the theory.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{kallel_1585,

title = {Driving force for shape memory effect of polymers},

author = {Achraf Kallel and Abir Ben Abdallah and Fehmi Gamaoun and Abbas Tcharkhtchi and Hachmi BenDaly and Joseph Fitoussi},

url = {https://link.springer.com/article/10.1007/s10965-021-02637-4},

year  = {2021},

date = {2021-07-01},

journal = {Journal Of Polymer Research},

volume = {28},

number = {10},

pages = {308},

abstract = {In this study, we aim to evaluate the shape memory effect of a Poly (Caprolactone) (PCL) (40%) and a Styrene-Butadiene-Styrene (SBS) (60%) blend. Shape memory cycle tests are performed at different temperatures to detect the best recovery rate. Under appropriate temperature, the blend recovers substantially its original shape. To study the recovery rate evolution, multi cycle tests are realized with controlled temperature. The results indicate that the shape memory effect growths when the number of cycle increases. The stored energy acts as a driving force to bring the polymer to its permanent shape after each loading cycle. Then, an original method is proposed to measure the stress-strain evolution during the recovery. With a variable temperature, no standard test can follow the stress-strain evolution. This test is needed to validate the behavior model.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{hamdache_1579,

title = {Macroscopic limit of the kinetic Bloch equation},

author = {Kamel Hamdache and Djamila Hamroun},

url = {https://www.aimsciences.org/article/doi/10.3934/krm.2021015},

year  = {2021},

date = {2021-06-01},

journal = {Kinetic And Related Models},

volume = {14},

number = {3},

pages = {541-570},

abstract = {This work concerns the existence of solution of the kinetic spinor Boltzmann equation as well as the asymptotic behavior of such solution when ??0, that is when the time relaxation of the spin-flip collisions is very small in comparison to the time relaxation parameter of the collisions with no spin reversal. Due to the lack of regularity of the weak solution, the switching term H?×M? is not stable under the weak convergences. Hence we establish new estimates of the so},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{venkateswaran_1788,

title = {An optimal design of a flexible piping inspection robot},

author = {Swaminath Venkateswaran and Damien Charles Chablat and Pol Hamon},

url = {https://asmedigitalcollection.asme.org/mechanismsrobotics/article-abstract/13/3/035002/1096922/An-Optimal-Design-of-a-Flexible-Piping-Inspection},

year  = {2021},

date = {2021-06-01},

journal = {Journal Of Mechanisms And Robotics-Transactions Of The Asme},

volume = {13},

number = {3},

pages = {035002},

abstract = {This study presents an optimization approach for the design of a piping inspection robot. A rigid bio-inspired piping inspection robot that moves like a caterpillar was designed and developed at LS2N, France. By the addition of tensegrity mechanisms between the motor modules, the mobile robot becomes flexible to pass through the bends. However, the existing motor units prove to be oversized for passing through pipe bends at 90 deg. Thus, three cascading optimization problems are presented in this article to determine the sizing of robot assembly that can overcome such pipe bends. The first problem deals with the identification of design parameters of the tensegrity mechanism based on static stability. Followed by that, in the second problem, the optimum design parameters of the robot modules are determined for the robot assembly without the presence of leg mechanisms. The third problem deals with the determination of the size of the leg mechanism for the results of the two previous optimization problems. A digital model of the optimized robot assembly is then realized using cad software.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{yakoubi_1678,

title = {Analysis of a time--discrete scheme for the Navier-Stokes/Allen-Cahn model},

author = {Driss Yakoubi and Jean Deteix and Gerard Lionel Ndetchoua Kouamoa},

url = {https://www.sciencedirect.com/science/article/pii/S0022247X20309793?via%3Dihub},

year  = {2021},

date = {2021-04-01},

journal = {Journal Of Mathematical Analysis And Applications},

volume = {496},

number = {2},

pages = {124816},

abstract = {This paper address the existence and uniqueness, in suitable functional spaces, of the solution of a non linear system of equations originating from the implicit time discretization of the coupled unsteady Navier-Stokes and Allen-Cahn equations. This result is based on the convergence analysis of an original stabilized fixed point algorithm, from which we also get a maximum principle. Numerical experiments are performed to illustrate the influence of the implicit formulation in comparison to a simpler approach based on a semi-explicit time scheme.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{bobbia_1684,

title = {Extreme quantile regression in proportional tail framework},

author = {Benjamin Bobbia and Clément Dombry and Davit Varron},

url = {http://rmi.ge/transactions/TRMI-volumes/175-1/175-1.htm},

year  = {2021},

date = {2021-04-01},

journal = {Transactions of A. Razmadze Mathematical Institute, In press},

volume = {175},

number = {1},

pages = {13-32},

abstract = {We revisit the model of heteroscedastic extremes initially introduced by Einmahl et al. (JRSSB, 2016) to describe the evolution of a non stationary sequence whose extremes evolve over time and adapt it into a general extreme quantile regression framework. We provide estimates for the extreme value index and the integrated skedasis function and prove their asymptotic normality. Our results are quite similar to those developed for heteroscedastic extremes but with a different proof approach emphasizing coupling arguments. We also propose a pointwise estimator of the skedasis function and a Weissman estimator of the conditional extreme quantile and prove the asymptotic normality of both estimators.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{chablat_1789,

title = {Workspace analysis in the design parameter space of a 2-dof spherical parallel mechanism for a prescribed workspace: Application to the otologic surgery},

author = {Damien Charles Chablat and Guillaume Michel and Philippe Bordure and Swaminath Venkateswaran and Ranjhan Jha},

url = {https://www.sciencedirect.com/science/article/pii/S0094114X20304419},

year  = {2021},

date = {2021-03-01},

journal = {Mechanism And Machine Theory},

volume = {157},

number = {3},

pages = {104224},

abstract = {During Otologic surgery, and more broadly during microsurgery, the surgeon encounters several difficulties due to the confined spaces and micro-manipulations. The purpose of the paper is to design a robot with a prescribed regular workspace shape to handle an endoscope to assist the Otologic surgery. A spherical parallel mechanism with two degrees of freedom is analysed in its design parameter space. This mechanism is composed of three legs (2USP-U) to connect the base to a moving platform connected to a double parallelogram to create a remote center of motion (RCM). Its kinematic properties, i.e. the singularity locus and the number of direct kinematic solutions, are investigated. For some design parameters, non-singular assembly modes changing trajectories may exist and have to be investigated inside the prescribed regular workspace shape. Two sets of design parameters are presented with their advantages and disadvantages.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{ben_abdallah_1269,

title = {Molecular weight influence on shape memory effect of shape memory polymer blend ( poly(caprolactone)/styrene-butadiene-styrene )},

author = {Abir Ben Abdallah and Fehmi Gamaoun and Achraf Kallel and Abbas Tcharkhtchi},

url = {https://onlinelibrary.wiley.com/doi/10.1002/app.49761},

year  = {2021},

date = {2021-02-01},

journal = {Journal Of Applied Polymer Science},

volume = {138},

number = {5},

pages = {49761},

abstract = {The shape memory effect (SME) does not only concern the macroscopic structure. It concerns also the polymer structure at morphological, macromolecular, and molecular scales. This effect may depend on different physicochemical properties like morphology heterogeneity, chain rigidity, steric hindrance, chain polarity, free volume, cross-linking or entanglement density, molecular shape and weight, and so on. Hence, finding the relationship between the SME and these properties is very important. This can help to obtain the knowledge about the phenomenon origin and mechanism. One of the basic polymer properties, which can have direct SME, may be the molecular weight (Mw). The question here is: If the Mw of a shape memory polymer (SMP) changes, for different reasons like degradation, what will be the effect of this change on its SME. In order to answer to this question, the investigation is focused on an SMP blend of 40% poly(?-caprolactone) (PCL) and 60% styrene-butadiene-styrene (SBS). Then, enzymatic hydrolysis is performed on this blend to change its Mw. It is shown that this change is only related to the variation in the Mw of PCL. After that, different samples with a distinct average Mw are prepared and characterized by various experimental methods. Shape memory tests are performed on these blends, and the recovery rate (Rr) for each of them is determined. It is found that when Mw of PCL decreases, its degree of crystallinity, its glass transition, and its melting temperatures, corresponding to the PCL phase, increase. However, the elongation at break of the blend declines with the reduction in Mw. The tests show that the alteration in the blend's Mw influences its SME. Indeed, Rr of the (PCL/SBS) mixture drops with the decrease in Mw of PCL.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{pouradier_duteil_1268,

title = {Kinetic approach to the collective dynamics of the rock paper scissors binary game},

author = {Nastassia Pouradier Duteil and Francesco Salvarani},

url = {https://www.sciencedirect.com/science/article/pii/S0096300320304549#!},

year  = {2021},

date = {2021-01-01},

journal = {Applied Mathematics And Computation},

volume = {388},

pages = {125496},

abstract = {This article studies the kinetic dynamics of the rock-paper-scissors binary game. We first prove existence and uniqueness of the solution of the kinetic equation and subsequently we prove the rigorous derivation of the quasi-invariant limit for two meaningful choices of the domain of definition of the independent variables. We notice that the domain of definition of the problem plays a crucial role and heavily influences the behavior of the solution. The rigorous proof of the relaxation limit does not need the use of entropy estimates for ensuring compactness.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{zhang_1406,

title = {Failure prediction of magnesium alloys based on improved CDM model},

author = {Kai Zhang and Houssem Badreddine and Naila Hfaiedh and Khemais Saanouni and Jianlin Liu},

url = {https://www.sciencedirect.com/science/article/abs/pii/S0020768321000214?via%3Dihub},

year  = {2021},

date = {2021-01-01},

journal = {International Journal Of Solids And Structures},

volume = {217-218},

pages = {155-177},

abstract = {The aim of this contribution is to improve the behavior and failure prediction accuracy for magnesium alloy sheet forming simulation by using advanced fully coupled Continuum Damage Mechanics (CDM) model. Starting from known fully coupled constitutive equations at large inelastic (plastic or viscoplastic) strains, three aspects are enhanced on the CDM model developed by Saanouni (2012). The first one concerns the accurate description of tension-compression asymmetry in yielding and hardening of magnesium alloys induced by combined slip and twinning deformations. The second concerns introducing the stress state dependence in damage evolution to improve the fracture prediction under various loading paths. The third deals with temperature and strain rate (viscosity) effects for metal forming processes at elevated temperatures. The improved fully coupled constitutive equations were implemented into finite element code ABAQUS/Explicit via user subroutine VUMAT including the specific local integration scheme to compute the state variables at each quadrature point. Various kinds of tensile tests at different temperatures and strain rates are used to determine the material parameters, and the complete identification procedure is given in details. As validation, the improved model is applied to simulate the three-point bending and circular cup deep drawing tests, the predicted results show good agreements with the experimental observations.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{ouaddi_1582,

title = {Passive piezomagnetic monitoring of structures subjected to in-service cyclic loading: Application to the detection of fatigue crack initiation and propagation},

author = {Achraf Ouaddi and Olivier Hubert and Jader Furtado and Song He},

url = {https://doi.org/10.1063/9.0000195},

year  = {2021},

date = {2021-01-01},

journal = {Aip Advances},

volume = {11},

number = {1},

pages = {015344},

keywords = {},

pubstate = {published},

tppubtype = {article}

}