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Existence theorem for nonlinear micropolar elasticity - MaRDI portal

Existence theorem for nonlinear micropolar elasticity (Q5189209)

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scientific article; zbMATH DE number 5678714

Language	Label	Description	Also known as
English	Existence theorem for nonlinear micropolar elasticity	scientific article; zbMATH DE number 5678714

Statements

scholarly article

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Existence theorem for nonlinear micropolar elasticity (English)

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ESAIM: Control, Optimisation and Calculus of Variations

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publication date

9 March 2010

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full work available at URL

https://eudml.org/doc/245311

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zbMATH Keywords

micropolar elasticity

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existence theorem

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quasiconvexity

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MaRDI profile type

MaRDI publication profile

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Derivation and justification of the models of rods and plates from linearized three-dimensional micropolar elasticity

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Convexity conditions and existence theorems in nonlinear elasticity

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Direct methods in the calculus of variations

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Microcontinuum Field Theories

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Existence, Uniqueness and Stability in Linear Cosserat Elasticity for Weakest Curvature Conditions

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Ground states in complex bodies

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Quasi-Convexity and Lower Semi-Continuity of Multiple Variational Integrals of Any Order

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On Korn's first inequality with non-constant coefficients

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Existence of minimizers for a geometrically exact Cosserat solid

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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

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The Cosserat couple modulus for continuous solids is zero viz the linearized Cauchy-stress tensor is symmetric

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Existence of minimizers for a finite-strain micromorphic elastic solid

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A finite-strain elastic-plastic Cosserat theory for polycrystals with grain rotations

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A GEOMETRICALLY EXACT PLANAR COSSERAT SHELL-MODEL WITH MICROSTRUCTURE: EXISTENCE OF MINIMIZERS FOR ZERO COSSERAT COUPLE MODULUS

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A geometrically exact Cosserat shell model for defective elastic crystals. Justification via \(\Gamma\)-convergence

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A geometrically exact micromorphic model for elastic metallic foams accounting for affine microstructure. Modelling, existence of minimizers, identification of moduli and computational results

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Derivation of a model of nonlinear micropolar plate

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Identifiers

zbMATH Open document ID

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10.1051/cocv:2008065

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5189209

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