Second-order estimates for the macroscopic response and loss of ellipticity in porous rubbers at large deformations
type: Item
instance of: scholarly article
title: Second-order estimates for the macroscopic response and loss of ellipticity in porous rubbers at large deformations
zbMATH Open document ID: 1086.74032
author: Oscar Lopez-Pamies
author: Pedro Ponte Castañeda
published in: Journal of Elasticity
publication date: 2005-04-28T00:00:00Z
Mathematics Subject Classification ID: 74Q20
Mathematics Subject Classification ID: 74F10
Mathematics Subject Classification ID: 74E30
Mathematics Subject Classification ID: 74B20
zbMATH DE Number: 2162340
zbMATH Keywords: elastomeric foams
zbMATH Keywords: microstructure evolution
zbMATH Keywords: second-order homogenization
MaRDI profile type: Publication
full work available at URL: s10659-005-1405-z
OpenAlex ID: W2149226453
cites work: Convexity conditions and existence theorems in nonlinear elasticity
cites work: Q3704502
cites work: Homogenization of nonlinearly elastic materials, microscopic bifurcation and macroscopic loss of rank-one convexity
cites work: Q4040741
cites work: Large isotropic elastic deformation of composites and porous media
cites work: On constitutive macro-variables for heterogeneous solids at finite strain
cites work: On the theory of plane strain in finitely deformed compressible materials
cites work: Elastic Potentials and the Structure of Inelastic Constitutive Laws
cites work: On the ellipticity of the equations of nonlinear elastostatics for a special material
cites work: On the failure of ellipticity of the equations for finite elastostatic plane strain
cites work: Second-order estimate of the macroscopic behavior of periodic hyperelastic composites: theory and experimental validation
cites work: Second-order estimates for the large-deformation response of particle-reinforced rubbers
cites work: Second-Order Homogenization Estimates Incorporating Field Fluctuations in Finite Elasticity
cites work: Periodic solutions and homogenization of non linear variational problems
cites work: Homogenization of nonconvex integral functionals and cellular elastic materials
cites work: Extremum principles in non-linear elasticity and their application to composites - I
cites work: Q3327849
cites work: The overall constitutive behaviour of nonlinearly elastic composites
cites work: Exact second-order estimates for the effective mechanical properties of nonlinear composite materials.
cites work: Second-order homogenization estimates for nonlinear composites incorporating field fluctuations. I: Theory
cites work: Q4379920
cites work: A second-order homogenization method in finite elasticity and applications to black-filled elastomers
cites work: Variational second-order estimates for nonlinear composites
cites work: Comportements local et macroscopique d'un type de milieux physiques heterogenes
cites work: Q4838117
cites work: On the Comparison Between Microscopic and Macroscopic Instability Mechanisms in a Class of Fiber-Reinforced Composites
cites work: Stability and vibrations of elastic thick-walled cylindrical and spherical shells subjected to pressure
cites work: Variational and Related Methods for the Overall Properties of Composites
DOI: 10.1007/S10659-005-1405-Z
description: scientific article; zbMATH DE number 2162340