ANALYTICAL DETERMINATION OF THE AVERAGE ESHELBY TENSOR FOR TRANSVERSELY ISOTROPIC FIBER ORIENTATION DISTRIBUTIONS

Citation
B. Johannesson et Ob. Pedersen, ANALYTICAL DETERMINATION OF THE AVERAGE ESHELBY TENSOR FOR TRANSVERSELY ISOTROPIC FIBER ORIENTATION DISTRIBUTIONS, Acta materialia, 46(9), 1998, pp. 3165-3173
Citations number
26
Categorie Soggetti
Material Science","Metallurgy & Metallurigical Engineering
Journal title
ISSN journal
13596454
Volume
46
Issue
9
Year of publication
1998
Pages
3165 - 3173
Database
ISI
SICI code
1359-6454(1998)46:9<3165:ADOTAE>2.0.ZU;2-R
Abstract
The analytical expression for the average S tenser in Eshelby's equiva lent inclusion method of internal stress determination in composite ma terials is derived for any transversely isotropic fiber orientation di stribution function specified by a generic histogram. The analytical a verage provides a basis for direct application of experimentally measu red fiber ODFs in the modelling of internal stresses and effective pro perties of thermomechanical fiber composites. Upper and lower bound es timates utilizing the analytical expression for the average S tensor a re presented and discussed. (C) 1998 Acta Metallurgica Inc.