Two-field variational formulations for a class of nonlinear mechanical models

DOI10.1177/10812865211066123OpenAlexW4205711218MaRDI QIDQ5048122

Madalina Osiceanu, Andaluzia Matei

Publication date: 17 November 2022

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/10812865211066123

zbMATH Keywords

subdifferential inclusionbipotentialnonlinear constitutive lawtwo-field weak solutiondemicontinuous solution operator

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX)

Related Items (max. 100)

Weak solvability via bipotentials and approximation results for a class of bilateral frictional contact problems ⋮ Weak solutions for contact models involving a class of generalized materials ⋮ Weak solvability via bipotentials for contact problems with power-law friction

Uses Software

• OpenCourseWare

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Soft-impact dynamics of deformable bodies
• Legendre-Fenchel duality in elasticity
• Convex functions, monotone operators and differentiability.
• A variational approach via bipotentials for unilateral contact problems
• Bipotentials for non-monotone multivalued operators: fundamental results and applications
• Functional analysis, Sobolev spaces and partial differential equations
• Two-field variational formulations for the problem of the beam on a continuous elastic support
• Numerical simulations of classical problems in two-dimensional (non) linear second gradient elasticity
• A variational approach via bipotentials for a class of frictional contact problems
• An introduction to continuum mechanics
• A Prange-Hellinger-Reissner type finite element formulation for small strain elasto-plasticity
• Weak solutions via bipotentials in mechanics of deformable solids
• Convergence of convex sets and of solutions of variational inequalities
• Multi-field variational formulations and mixed finite element approximations for electrostatics and magnetostatics
• A NEW DUALITY APPROACH TO ELASTICITY
• Mathematical Models in Contact Mechanics
• Non maximal cyclically monotone graphs and construction of a bipotential for the Coulomb's dry friction law
• A variational formulation for constitutive laws described by bipotentials
• Convex functions and their applications. A contemporary approach

This page was built for publication: Two-field variational formulations for a class of nonlinear mechanical models