Existence of Energy Minimizers for Magnetostrictive Materials

DOI10.1137/S0036141004442021zbMath1086.49014OpenAlexW1989916804MaRDI QIDQ5317416

Piotr Rybka, Mitchell Luskin

Publication date: 16 September 2005

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036141004442021

zbMATH Keywords

energy minimizationlower semicontinuitymicromagneticsmagnetostriction

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Energy minimization in equilibrium problems in solid mechanics (74G65) Electromagnetic effects in solid mechanics (74F15) Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (18)

Equilibria of Charged Hyperelastic Solids ⋮ Uniqueness of solutions for a mathematical model for magneto-viscoelastic flows ⋮ Magnetoelastic thin films at large strains ⋮ Weak Lower Semicontinuity of Integral Functionals and Applications ⋮ Relaxation of nonlinear elastic energies involving the deformed configuration and applications to nematic elastomers ⋮ Existence for dislocation-free finite plasticity ⋮ A Reduced Model for Plates Arising as Low-Energy \(\boldsymbol{\Gamma}\) -Limit in Nonlinear Magnetoelasticity ⋮ Quasistatic evolution in magnetoelasticity under subcritical coercivity assumptions ⋮ Existence results in large-strain magnetoelasticity ⋮ Local invertibility in Sobolev spaces with applications to nematic elastomers and magnetoelasticity ⋮ Relationship between existence of energy minimizers of incompressible and nearly incompressible magnetostrictive materials ⋮ A thermodynamically consistent model of magneto-elastic materials under diffusion at large strains and its analysis ⋮ Numerical approaches to rate-independent processes and applications in inelasticity ⋮ A phase-field approach to Eulerian interfacial energies ⋮ Quasistatic evolution for dislocation-free finite plasticity ⋮ Linearized von Kármán theory for incompressible magnetoelastic plates ⋮ Quasistatic evolution of magnetoelastic plates via dimension reduction ⋮ Existence results for incompressible magnetoelasticity

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