Numerical analysis for cavitated bifurcation in comprecation hyperelastic materials

摘要：

A numerically computational approach to analyze spherically cavitated bifurcation in compressible hyperelastic materials is presented The constitutive relationship of material is based on general strain energy function. The mathematical model of cavitated bifurcation is reduced to two-point boundary value problem on a system of nonlinear ordinary differential equations. The problem can be solved numerically by using shooting method. As the two numerical examples, the strain energy functions of generalized Blatz-Ko materials and compressible Mooney-Rivlin materials are considered, and the critical stretch for cavitated bifurcation are obtained. The numerical results demonstrate that the present approach is a simple and efficient computational technique.

作者: Xin-chun Shang Chang-jun Cheng

作者单位: Department of Mathematics and Mechanics, University of Science and Technology, Beijing 100083, China Department of Mechanics, Shanghai University, Shanghai 200072, China;Shanghai Institute of Applied M

会议类型: 国际会议

会议名称: The 5th International Conference on Nonlinear Mechanics(第五届国际非线性力学会议)

会议地点: 上海

会议语种:英文

页码: 241-244

在线出版日期: 2007-06-11（万方平台首次上网日期，不代表论文的发表时间）