This Article Full Text (PDF) All Versions of this Article: 1081286505044136v1 11/4/385    most recent References Alert me when this article is cited Alert me if a correction is posted Services Email this article to a friend Similar articles in this journal Similar articles in Web of Science Alert me to new issues of the journal Add to Saved Citations Download to citation manager Request Permissions Request Reprints Add to My Marked Citations Citing Articles Citing Articles via Google Scholar Citing Articles via Scopus Google Scholar Articles by Steinberg, L. Search for Related Content Social Bookmarking                         What's this?

Mesoelastic Deformation with Strain Singularities

Department of Mathematics, University of Puerto Rico, Mayaguez, PR 00681-9018, USA

We study material deformations of polycrystals, rocks and other elastic materials that display different types of imperfections with a typical size of 1 µm. Stress-strain relationships of these materials depend on the processing history and exhibit common behavior, including nonlinearity, hysteresis, etc. We focus our study on the continuous distribution of singularities in the strain field, which we describe in terms of surface densities and fluxes. We define the mass mesodensity tensor and deduce the constitutive relationships between the strain singularity current and the linear mesomomentum. Based on the modification of Peach-Koehler formula we consider the constitutive relation between the line mesostress tensor and the strain singularities density. These constitutive relationships allow us to model stresses in mesoelastic materials.

Key Words: Linear defects • constitutive functions • mesoscopic elastodynamics • residual stress

This version was published on August 1, 2006

Mathematics and Mechanics of Solids, Vol. 11, No. 4, 385-400 (2006)
DOI: 10.1177/1081286505044136


CiteULike    Complore    Connotea    Del.icio.us    Digg    Reddit    Technorati    Twitter    What's this?