New Biaxial Failure Criterion for Brittle Materials in Compression
Publication: Journal of Engineering Mechanics
Volume 125, Issue 11
Abstract
This paper focuses on the relationship of the stress intensity factor (SIF) between biaxial compression KII and uniaxial compression KII0. This relationship is very important for the study of biaxial failure criterion because if this relationship can be found, the biaxial failure criterion can be easily set up by use of the uniaxial failure criterion, which is very simple (KII0 ≤ KIIC or σ ≤ σC). For this purpose, a new model for a brittle material plate containing an inclined crack in compression, based on the theoretical analysis and the calculated results of the boundary collocation method (BCM), is proposed. By using this model and the BCM results, the following topics are first discussed: (1) The orientation of the most unfavorable crack; and (2) the stress condition for a crack with zero SIF value. Second, the relationship between KII and KII0 is found and described in a simple formula. Finally, a new biaxial failure criterion, which is expressed in terms of the principal stresses, is developed, and several conclusions are presented.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 125 • Issue 11 • November 1999
Pages: 1251 - 1258
History
Received: Jan 22, 1999
Published online: Nov 1, 1999
Published in print: Nov 1999
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