A gradient system with a wiggly energy and relaxed EDP-convergence
P Dondl, T Frenzel, A Mielke - ESAIM: Control, Optimisation and …, 2019 - esaim-cocv.org
For gradient systems depending on a microstructure, it is desirable to derive a macroscopic
gradient structure describing the effective behavior of the microscopic scale on the …
gradient structure describing the effective behavior of the microscopic scale on the …
Two-field variational formulations for a class of nonlinear mechanical models
A Matei, M Osiceanu - Mathematics and Mechanics of Solids, 2022 - journals.sagepub.com
A nonlinear boundary value problem arising from continuum mechanics is considered. The
nonlinearity of the model arises from the constitutive law which is described by means of the …
nonlinearity of the model arises from the constitutive law which is described by means of the …
A three-field variational formulation for a frictional contact problem with prescribed normal stress
AC Matei - Fractal and Fractional, 2022 - mdpi.com
In the present work, we address a nonlinear boundary value problem that models frictional
contact with prescribed normal stress between a deformable body and a foundation. The …
contact with prescribed normal stress between a deformable body and a foundation. The …
Bipotentials for non-monotone multivalued operators: fundamental results and applications
This is a survey of recent results about bipotentials representing multivalued operators. The
notion of bipotential is based on an extension of Fenchel's inequality, with several …
notion of bipotential is based on an extension of Fenchel's inequality, with several …
Weak solvability via bipotentials for contact problems with power-law friction
A Matei, M Osiceanu - Journal of Mathematical Analysis and Applications, 2023 - Elsevier
We study a bilateral contact model with power-law friction and a regularized version of it as
well, a regularization of the friction law being considered. The behavior of the material is …
well, a regularization of the friction law being considered. The behavior of the material is …
A variational approach via bipotentials for a class of frictional contact problems
A Matei - Acta applicandae mathematicae, 2014 - Springer
We study a class of frictional contact problems with prescribed normal stress, for nonlinearly
elastic materials. Using a bipotential which depends on the constitutive map and its Fenchel …
elastic materials. Using a bipotential which depends on the constitutive map and its Fenchel …
[HTML][HTML] A variational approach via bipotentials for unilateral contact problems
A Matei - Journal of Mathematical Analysis and Applications, 2013 - Elsevier
We consider a unilateral contact model for nonlinearly elastic materials, under the small
deformation hypothesis, for static processes. The contact is modeled with Signorini's …
deformation hypothesis, for static processes. The contact is modeled with Signorini's …
Weak solvability via bipotentials and approximation results for a class of bilateral frictional contact problems
A Matei, M Osiceanu - … in Nonlinear Science and Numerical Simulation, 2023 - Elsevier
A contact model with Tresca's friction law is considered, the behavior of the material being
modeled by the subdifferential of a convex constitutive map. Using a separable bipotential …
modeled by the subdifferential of a convex constitutive map. Using a separable bipotential …
A bipotential-based limit analysis and homogenization of ductile porous materials with non-associated Drucker–Prager matrix
L Cheng, Y Jia, A Oueslati, G de Saxcé… - Journal of the Mechanics …, 2015 - Elsevier
In Gurson's footsteps, different authors have proposed macroscopic plastic models for
porous solid with pressure-sensitive dilatant matrix obeying the normality law (associated …
porous solid with pressure-sensitive dilatant matrix obeying the normality law (associated …
Weak solutions via bipotentials in mechanics of deformable solids
A Matei, CP Niculescu - Journal of mathematical analysis and applications, 2011 - Elsevier
We consider a displacement-traction boundary values problem for elastic materials, under
the small deformations hypothesis, for static processes. The behavior of the material is …
the small deformations hypothesis, for static processes. The behavior of the material is …