Stability and Postbuckling Behavior of Hyperelastic Bodies at Finite Strain by the Finite Element Method.

摘要

The report presents an investigation of the application of the finite element method to the problem of stability and postbuckling behavior of hyperelastic bodies at finite strains. A brief summary of the formulations of finite element models of plane-isotropic hyperelastic bodies of Oden is given. The method of analysis centers around the powerful incremental loading techniques combined with Newton-Raphson corrections. These methods are supplemented with other techniques to also allow for the determination of critical load,the classifications of stability at critical loads and the study of postbuckling behavior. In conclusion,the method of solution is demonstrated by a number of representative numerical examples. (Author)