Variational formulation and structural stability of monotone equations

A Visintin - Calculus of Variations and Partial Differential …, 2013 - Springer
After Fitzpatrick's seminal work MR 1009594, it is known that in a real Banach space V any
maximal monotone operator α: V →\mathcal P (V^ ′) may be given a variational …

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 …

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 …

A symplectic Brezis–Ekeland–Nayroles principle

M Buliga, G de Saxcé - Mathematics and Mechanics of …, 2017 - journals.sagepub.com
We propose a modification of the Hamiltonian formalism which can be used for dissipative
systems. This work continues a previous work on Hamiltonian inclusions and advances by …

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 …

Existence results for variational–hemivariational inequality systems with nonlinear couplings

Y Bai, N Costea, S Zeng - … in Nonlinear Science and Numerical Simulation, 2024 - Elsevier
In this paper we investigate a system of coupled inequalities consisting of a variational–
hemivariational inequality and a quasi-hemivariational inequality on Banach spaces. The …

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 …

[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 …

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 …

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 …