INTERNAL RESIDUAL-STRESSES IN HETEROGENEOUS SOLIDS - A STATISTICAL-THEORY FOR PARTICULATE COMPOSITES

Citation
Va. Buryachenko et Ws. Kreher, INTERNAL RESIDUAL-STRESSES IN HETEROGENEOUS SOLIDS - A STATISTICAL-THEORY FOR PARTICULATE COMPOSITES, Journal of the mechanics and physics of solids, 43(7), 1995, pp. 1105-1125
Citations number
39
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Physics, Condensed Matter",Mechanics
ISSN journal
0022-5096
Volume
43
Issue
7
Year of publication
1995
Pages
1105 - 1125
Database
ISI
SICI code
0022-5096(1995)43:7<1105:IRIHS->2.0.ZU;2-2
Abstract
We consider a linearly elastic composite medium, which consists of a h omogeneous matrix containing a homogeneous and statistically uniform r andom set of ellipsoidal inclusions. Because of the differential therm al expansion, a microstructural residual stress state arises. By means of the ''multiparticle effective field'' method we first derive the f unctional relation between the stored elastic energy and the thermoela stic constants of the components. Using this result an exact estimatio n of all components of the statistical second moment tenser of the str ess fields is given. Furthermore, an expression for the second moment of the stress in the matrix in the vicinity of the ellipsoidal inclusi on and a correlation function of internal stresses is obtained. The ap plication of the theory is demonstrated by some numerical results for a WC-Co composite.