A CATASTROPHE-THEORY APPROACH TO FRACTURE-MECHANICS

被引：52
作者：
CARPINTERI, A
机构：
[1] Department of Structural Engineering, Politecnico di Torino, Torino
来源：
INTERNATIONAL JOURNAL OF FRACTURE | 1990年 / 44卷 / 01期
关键词：
D O I：
10.1007/BF00012552
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A cohesive crack model is applied to analyze the crack stability in elastic-softening materials. The shape of the global load-displacement response changes substantially by varying size-scale and keeping the geometrical shape of the structure unchanged. The softening branch becomes steeper and when the size-scale increases. A critical size-scale does exist for which the softening slope is infinite. In such a case, the load carrying capacity drastically decreases for relatively small displacement increments. Then, for larger size-scales, the softening slope becomes positive and a cusp catastrophe appears. It is proved that such a bifurcation point can be revealed by the simple LEFM condition. © 1990 Kluwer Academic Publishers.
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页码：57 / 69
页数：13
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