A RIGID-PLASTIC ANALYSIS OF THE LIMITING EQUILIBRIUM OF AN EDGE CLEAVAGE CRACK IN A RECTANGULAR PLATE

Citation
Sy. Aleksandrov et Rv. Goldshtein, A RIGID-PLASTIC ANALYSIS OF THE LIMITING EQUILIBRIUM OF AN EDGE CLEAVAGE CRACK IN A RECTANGULAR PLATE, Journal of applied mathematics and mechanics, 60(4), 1996, pp. 693-697
Citations number
3
Categorie Soggetti
Mathematics,Mathematics,Mechanics
ISSN journal
00218928
Volume
60
Issue
4
Year of publication
1996
Pages
693 - 697
Database
ISI
SICI code
0021-8928(1996)60:4<693:ARAOTL>2.0.ZU;2-5
Abstract
The analytic solution of the plane rigid-plastic problem of an edge cl eavage crack parallel to the base of a rectangular plate is constructe d. The geometry of the domain and the loading conditions (concentrated loads acting along a normal to the crack line) simulate a widely used scheme of experiments for determining the crack resistance of materia ls. The solution of the problem leads to a scheme for the how of the m aterial ahead of the crack which is accompanied by the formulation of a transverse microcrack. A variational principle for problems of rigid -plastic analysis, taking into account formation of cracks, formulated and proved in [1], is used to solve the problem. Copyright (C) 1996 E lsevier Science Ltd.