A NOTE ON A BIFURCATION PROBLEM IN FINITE PLASTICITY RELATED TO VOID NUCLEATION

被引:32
作者
CHUNG, DT [1 ]
HORGAN, CO [1 ]
ABEYARATNE, R [1 ]
机构
[1] MIT,DEPT MECH ENGN,CAMBRIDGE,MA 02139
关键词
PLASTICITY - Mathematical Models;
D O I
10.1016/0020-7683(87)90091-6
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
A bifurcation problem for a solid sphere subjected to a monotonically increasing, radial, tensile, dead load p at its outer boundary is examined. The material is assumed to obey a finite strain version of J//2-flow theory. One solution to this problem, for all values of p, corresponds to a homogeneous state. However, for a certain critical range of p, there is in addition, a second possible configuration, this one involving an internal spherical cavity. The classical infinitesimal strain theory of plasticity does not exhibit such a bifurcation.
引用
收藏
页码:983 / 988
页数:6
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