CAVITATED BIFURCATION FOR INCOMPRESSIBLE HYPERELASTIC MATERIAL

Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (8): 881-888.

CAVITATED BIFURCATION FOR INCOMPRESSIBLE HYPERELASTIC MATERIAL

任九生, 程昌钧

Institute of Applied Mathematics and Mechanics; Department of Mechanics, Shanghai University, Shanghai 200072, P. R. China

收稿日期:2001-03-20 修回日期:2002-03-26 出版日期:2002-08-18 发布日期:2002-08-18
基金资助:
the National Natural Science Foundation of China(19802021)

CAVITATED BIFURCATION FOR INCOMPRESSIBLE HYPERELASTIC MATERIAL

REN Jiu-sheng, CHENG Chang-jun

Institute of Applied Mathematics and Mechanics; Department of Mechanics, Shanghai University, Shanghai 200072, P. R. China

Received:2001-03-20 Revised:2002-03-26 Online:2002-08-18 Published:2002-08-18
Supported by:
the National Natural Science Foundation of China(19802021)

摘要/Abstract

摘要： The spherical cavitated bifurcation for a hyperelastic solid sphere made of the incompressible Valanis-Landel material under boundary dead-loading is examined. The analytic solution for the bifurcation problem is obtained. The catastrophe and concentration of stresses are discussed. The stability of solutions is discussed through the energy comparison. And the growth of a pre-existing micro-void is also observed.

中图分类号:

O343

任九生;程昌钧. CAVITATED BIFURCATION FOR INCOMPRESSIBLE HYPERELASTIC MATERIAL[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(8): 881-888.

REN Jiu-sheng;CHENG Chang-jun . CAVITATED BIFURCATION FOR INCOMPRESSIBLE HYPERELASTIC MATERIAL[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(8): 881-888.

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CAVITATED BIFURCATION FOR INCOMPRESSIBLE HYPERELASTIC MATERIAL

CAVITATED BIFURCATION FOR INCOMPRESSIBLE HYPERELASTIC MATERIAL

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