Static and dynamical cavitation for incompressible hyperelastic-plastic material  

作　　者：任九生 程昌钧 

机构地区：[1]Department of Mechanics, College of Scienves, Shanghai University, Shanghai 200444, P.R. China [2]Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P.R. China

出　　处：《Journal of Shanghai University(English Edition)》2006年第4期283-287,共5页上海大学学报（英文版）

基　　金：Project supported by National Natural Science Foundation of China （Grant Nos. 10402018, 10272069）

摘　　要：Bifurcation problems both for static and dynamical cavitation in a solid sphere composed of the incompressible hyperelasticplastic material, under uniformly distributed tensile boundary dead load were studied. For each problem, cavity forms at the center of the sphere when the tensile load is larger than its critical value. Bifurcation curves and the growth curves for the plastic deformation region were given. For static cavitation, the deformation displays three stages, namely, fully elastic, elasto-plastic and fully plastic stages. For dynamical cavitation, the cavity grows without bound and the sphere displays plastic flow.Bifurcation problems both for static and dynamical cavitation in a solid sphere composed of the incompressible hyperelasticplastic material, under uniformly distributed tensile boundary dead load were studied. For each problem, cavity forms at the center of the sphere when the tensile load is larger than its critical value. Bifurcation curves and the growth curves for the plastic deformation region were given. For static cavitation, the deformation displays three stages, namely, fully elastic, elasto-plastic and fully plastic stages. For dynamical cavitation, the cavity grows without bound and the sphere displays plastic flow.

关 键 词：hyperelastic-plastic material static cavitation dynamical cavitation plastic flow. 

分 类 号：TB322[一般工业技术—材料科学与工程]