Derivation of a rod theory for multiphase materials
type: Item
instance of: scholarly article
title: Derivation of a rod theory for multiphase materials
zbMATH Open document ID: 1105.74016
author: Maria Giovanna Mora
author: Stefan Müller
published in: Calculus of Variations and Partial Differential Equations
publication date: 2007-01-18T00:00:00Z
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 74N05
Mathematics Subject Classification ID: 74N20
zbMATH DE Number: 5116486
zbMATH Keywords: martensitic transformation
zbMATH Keywords: gamma-convergence
zbMATH Keywords: group of rotations
MaRDI profile type: Publication
full work available at URL: s00526-006-0039-8
OpenAlex ID: W1964514785
cites work: A variational definition of the strain energy for an elastic string
cites work: Nonlinear problems of elasticity
cites work: A theory of thin films of martensitic materials with applications to microactuators
cites work: Rigidity estimate for two incompatible wells
cites work: An introduction to \(\Gamma\)-convergence
cites work: A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity
cites work: The Föppl-von Kármán plate theory as a low energy \(\Gamma\)-limit of nonlinear elasticity
cites work: Heterogeneous wires made of martensitic materials.
cites work: The nonlinear membrane model as variational limit of nonlinear three-dimensional elasticity
cites work: Young measures and the absence of fine microstructures in a class of phase transitions
cites work: On Saint-Venant's problem for an elastic strip
cites work: Saint-Venant's problem and semi-inverse solutions in nonlinear elasticity
cites work: Derivation of the nonlinear bending-torsion theory for inextensible rods by \(\Gamma\)-convergence
cites work: A nonlinear model for inextensible rods as a low energy \(\varGamma\)-limit of three-dimensional nonlinear elasticity
DOI: 10.1007/S00526-006-0039-8
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description: scientific article; zbMATH DE number 5116486