Existence theorem for nonlinear micropolar elasticity
From MaRDI portal
Publication:5189209
DOI10.1051/cocv:2008065zbMath1423.74042OpenAlexW2110503835MaRDI QIDQ5189209
Publication date: 9 March 2010
Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/245311
Related Items
Integrability conditions between the first and second Cosserat deformation tensor in geometrically nonlinear micropolar models and existence of minimizers ⋮ The isotropic Cosserat shell model including terms up to \(O(h^5)\). I: Derivation in matrix notation ⋮ The isotropic Cosserat shell model including terms up to \(O(h^5)\). II: Existence of minimizers ⋮ A Naghdi type nonlinear model for shells with little regularity ⋮ Semicontinuity theorem in the micropolar elasticity ⋮ Existence theorem for geometrically nonlinear Cosserat micropolar model under uniform convexity requirements
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A finite-strain elastic-plastic Cosserat theory for polycrystals with grain rotations
- Derivation of a model of nonlinear micropolar plate
- Convexity conditions and existence theorems in nonlinear elasticity
- A geometrically exact Cosserat shell model for defective elastic crystals. Justification via \(\Gamma\)-convergence
- Derivation and justification of the models of rods and plates from linearized three-dimensional micropolar elasticity
- A geometrically exact Cosserat shell-model including size effects, avoiding degeneracy in the thin shell limit. I: Formal dimensional reduction for elastic plates and existence of minimizers for positive Cosserat couple modulus
- A geometrically exact micromorphic model for elastic metallic foams accounting for affine microstructure. Modelling, existence of minimizers, identification of moduli and computational results
- Existence of minimizers for a geometrically exact Cosserat solid
- Existence, Uniqueness and Stability in Linear Cosserat Elasticity for Weakest Curvature Conditions
- The Cosserat couple modulus for continuous solids is zero viz the linearized Cauchy-stress tensor is symmetric
- Existence of minimizers for a finite-strain micromorphic elastic solid
- Ground states in complex bodies
- On Korn's first inequality with non-constant coefficients
- Microcontinuum Field Theories
- A GEOMETRICALLY EXACT PLANAR COSSERAT SHELL-MODEL WITH MICROSTRUCTURE: EXISTENCE OF MINIMIZERS FOR ZERO COSSERAT COUPLE MODULUS
- Quasi-Convexity and Lower Semi-Continuity of Multiple Variational Integrals of Any Order
- Direct methods in the calculus of variations