The static state of a two-phase solid mixture in a stressed elastic bar

被引:7
作者
Fosdick, RL [1 ]
RoyerCarfagni, GF [1 ]
机构
[1] UNIV PISA,IST SCI COSTRUZ,I-56126 PISA,ITALY
基金
美国国家科学基金会;
关键词
D O I
10.1016/0020-7683(95)00156-5
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
We consider the equilibrium state and phase separation of a stressed elastic cylindrical bar which is composed of a mixture of two materials of fixed amounts. The Young's modulus of the mixture is a function of the local volume fraction, which itself depends on the position in the bar. We determine the distribution of the two pure components and the field of internal strain throughout the bar so that the total potential energy is minimized. The problem is one of nonconvex minimization, and because of this we find that the two materials which comprise the bar are separated in the stressed equilibrium state. (C) 1996 Elsevier Science Ltd.
引用
收藏
页码:2267 / 2281
页数:15
相关论文
共 3 条
[1]  
Buttazzo G., 1989, PITMAN RES NOTES MAT, V207
[2]  
DUNN JE, 1980, ARCH RATION MECH AN, V74, P1, DOI 10.1007/BF00250831
[3]  
FOSDICK RL, 1995, IN PRESS MECCANICA