A second-order homogenization method in finite elasticity and applications to black-filled elastomers
type: Item
instance of: scholarly article
title: A second-order homogenization method in finite elasticity and applications to black-filled elastomers
zbMATH Open document ID: 0984.74070
DOI: 10.1016/S0022-5096(99)00087-3
author: E. Tiberio
author: Pedro Ponte Castañeda
published in: Journal of the Mechanics and Physics of Solids
publication date: 2002-05-05T00:00:00Z
Mathematics Subject Classification ID: 74Q20
Mathematics Subject Classification ID: 74E30
Mathematics Subject Classification ID: 74B20
zbMATH DE Number: 1443527
zbMATH Keywords: variational calculus
zbMATH Keywords: second-order procedure
zbMATH Keywords: linear thermoelastic comparison composite
zbMATH Keywords: heterogeneous elastic systems
zbMATH Keywords: finite deformations
zbMATH Keywords: homogenized stored-energy function
zbMATH Keywords: hyperelastic composites
zbMATH Keywords: carbon-black filled elastomers
MaRDI profile type: Publication
cites work: Convexity conditions and existence theorems in nonlinear elasticity
cites work: Elastic energy minimization and the recoverable strains of polycrystalline shape-memory materials
cites work: Second–order estimates of the self–consistent type for viscoplastic polycrystals
cites work: Q3704502
cites work: Homogenization of nonlinearly elastic materials, microscopic bifurcation and macroscopic loss of rank-one convexity
cites work: A mirco-mechanically based continuum damage model for carbon black-filled rubbers incorporating Mullins' effect
cites work: A Variational Approach to the Theory of the Effective Magnetic Permeability of Multiphase Materials
cites work: A variational approach to the theory of the elastic behaviour of multiphase materials
cites work: On constitutive macro-variables for heterogeneous solids at finite strain
cites work: Elastic Potentials and the Structure of Inelastic Constitutive Laws
cites work: A general constitutive theory for linear and nonlinear particulate media with microstructure evolution
cites work: Homogenization of nonconvex integral functionals and cellular elastic materials
cites work: Large deformation isotropic elasticity: on the correlation of theory and experiment for compressible rubberlike solids
cites work: Extremum principles in non-linear elasticity and their application to composites - I
cites work: The overall constitutive behaviour of nonlinearly elastic composites
cites work: The effective mechanical properties of nonlinear isotropic composites
cites work: New variational principles in plasticity and their application to composite materials
cites work: Exact second-order estimates for the effective mechanical properties of nonlinear composite materials.
cites work: Q4379920
cites work: On the overall properties of nonlinearly viscous composites
cites work: The effect of spatial distribution on the effective behavior of composite materials and cracked media
cites work: Variational second-order estimates for nonlinear composites
cites work: Q3797759
cites work: A ‘non-local’ variational approach to the elastic energy minimalization of martensitic polycrystals
cites work: Overall potentials and extremal surfaces of power law or ideally plastic composites
cites work: Q4838117
cites work: Variational Principles for Inhomogeneous Non-linear Media
cites work: Some simple explicit bounds for the overall behaviour of nonlinear composites
cites work: Bounds of third order for the overall response of nonlinear composites
cites work: Bounds and self-consistent estimates for the overall properties of anisotropic composites
cites work: Variational and Related Methods for the Overall Properties of Composites
cites work: The Overall Elastic Response of Composite Materials
cites work: Q3795336
full work available at URL: s0022-5096(99)00087-3
OpenAlex ID: W2066951711
description: scientific article; zbMATH DE number 1443527