CAVITY FORMATION AT THE CENTER OF A SPHERE COMPOSED OF TWO COMPRESSIBLE HYPER-ELASTIC MATERIALS  

作　　者：任九生 程昌钧 朱正佑 

机构地区：[1]Shanghai Institute of Applied Mathematics and Mechanics

出　　处：《Applied Mathematics and Mechanics(English Edition)》2003年第9期1009-1016,共8页应用数学和力学（英文版）

基　　金：theNationalNaturalScienceFoundationofChina (10272069);theShanghaiKeySubjectProgram

摘　　要：The cavitated bifurcation problem in a solid sphere composed of two compressible hyper_elastic materials under a uniform boundary radial stretch was examined. The solutions, including the trivial solution and the cavitated solutions, were obtained. The bifurcation curves and the stress contributions subsequent to cavitation were discussed. The phenomena of the right and the left bifurcations as well as the catastrophe and concentration of stresses are observed. The stability of solutions is discussed through the energy comparison.The cavitated bifurcation problem in a solid sphere composed of two compressible hyper_elastic materials under a uniform boundary radial stretch was examined. The solutions, including the trivial solution and the cavitated solutions, were obtained. The bifurcation curves and the stress contributions subsequent to cavitation were discussed. The phenomena of the right and the left bifurcations as well as the catastrophe and concentration of stresses are observed. The stability of solutions is discussed through the energy comparison.

关 键 词：compressible hyper_elastic material cavitated bifurcation catastrophe and concentration of stress energy comparison 

分 类 号：O343[理学—固体力学] TB301[理学—力学]