An Inverse Analysis Approach to Identify the Elastic--Plastic Stress--Strain Relationship using a Nonlinear Sensitivity Analysis

摘要

In this paper, an inverse analysis method to identify the stress-strain relationships of elastic- plastic materials, using a nonlinear sensitivity analysis, is presented. The identification problem can be defined as a minimization problem, by choosing an appropriate objective function, which consists of displacement and force quantities. The nonlinear sensitivity analysis, which does not require repetitive finite element calculations, forms the basis of the proposed procedure. An algorithm of Nonlinear Programming, coupled with nonlinear sensitivity analysis, results in an optimization process of classical sense. In this paper, the framework of the identification process is presented and its validity is demonstrated through example problems. Furthermore, the framework of the proposed method, is quite general so that the methodology can be applied to various types of engineering materials.