STABILITY OF COHESIVE CRACK MODEL .2. EIGENVALUE ANALYSIS OF SIZE EFFECT ON STRENGTH AND DUCTILITY OF STRUCTURES

Authors
Citation
Zp. Bazant et Yn. Li, STABILITY OF COHESIVE CRACK MODEL .2. EIGENVALUE ANALYSIS OF SIZE EFFECT ON STRENGTH AND DUCTILITY OF STRUCTURES, Journal of applied mechanics, 62(4), 1995, pp. 965-969
Citations number
10
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Mechanics
Journal title
ISSN journal
0021-8936
Volume
62
Issue
4
Year of publication
1995
Pages
965 - 969
Database
ISI
SICI code
0021-8936(1995)62:4<965:SOCCM.>2.0.ZU;2-X
Abstract
The preceding paper is extended to the analysis of size effect on stre ngth and ductility of structures. For the case of geometrically simila r structures of different sizes, the criterion of stability limit is t ransformed to art eigenvalue problem for a homogeneous Fredholm integr al equation, with the structure size as the eigenvalue. Under the assu mption of a linear softening stress-displacement relation for the cohe sive crack, the eigenvalue problem is linear. The maximum load of stru cture under load control, as well as the maximum deflection under disp lacement control (which characterizes ductility of the structure), can be solved explicitly in terms of the eigenfunction of the aforementio ned integral equation.