On the effects of microstress on macroscopic diffusion processes
type: Item
instance of: scholarly article
title: On the effects of microstress on macroscopic diffusion processes
zbMATH Open document ID: 0954.74006
DOI: 10.1007/BF01292300
published in: Acta Mechanica
publication date: 1999-09-12T00:00:00Z
review text: The authors study the problem of diffusion in materials with spatialIy variable stress-dependent diffusivity. Several examples are stated to illustrate the predicted discrepancies between the behaviour corresponding to the solutions under the stress-dependent and stress-free conditions. Variational formulations are presented to treat the problem in both unstressed and stressed cases, and then the reuslts are applied to provide a general upper bound in the stress-dependent behaviour. The results are compared with the classical bounds by Hill, Reuss and Voigt.
Mathematics Subject Classification ID: 74A60
Mathematics Subject Classification ID: 74M25
zbMATH DE Number: 1334821
zbMATH Keywords: microstructure
zbMATH Keywords: variational formulation
zbMATH Keywords: stress-free case
zbMATH Keywords: diffusion
zbMATH Keywords: stress-dependent diffusivity
zbMATH Keywords: general upper bound
Wikidata QID: Q64017427
author: Tarek I. Zohdi
author: P. Wriggers
reviewed by: Sitiro Minagawa
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1334821