An Inverse Analysis Algorithm of Material Parameters in Two-Dimensional Orthotropic Media
会议名称：《The Sixth World Congress on Computational Mechanics in Conjunction with the Second Asian-Pacific Congress on Computational Mechanics》
会议日期：1000年
学科分类：08[工学] 080104[工学-工程力学] 0801[工学-力学（可授工学、理学学位）]
摘 要：An inverse analysis algorithm is developed to identify the material parameters in two -dimensional orthotropic media. The inverse analysis problem of the material parameters is formulated as the problem of minimizing the cost function defined as a square sum of differences between the measured displacement and the computed displacement by a boundary element model. Levenberg-Marquardt method is used to solve the minimization problem. The sensitivities of displacements with respect to the material parameters in the minimization of the cost fun ction are computed by the finite difference approximation method and the direct differentiation method respectively. The direct differentiation method is based on the direct differentiation of the discretized algebraic boundary element matrix equations wit h respect to the material parameters, in which the derivatives of fundamental solutions with respect to the material parameters are derived.