高斯牛顿技术求解偶应力反问题  

Solving inverse couple stress problem via gauss-newton method

作　　者：王凯[1] 杨海天[1] 马莉英[2] 

机构地区：[1]大连理工大学工程力学系工业装备结构分析国家重点实验室,大连116024 [2]大连交通大学土木与安全工程学院,大连116028

出　　处：《计算力学学报》2008年第5期616-620,共5页Chinese Journal of Computational Mechanics

基　　金：国家自然科学基金(10772035;10721062;10472019);973项目(2005CB321704);辽宁省中青年学术带头人基金资助项目

摘　　要：建立了便于敏度分析的偶应力反问题数值求解模型,给出了直接法和伴随法两种敏度计算格式。在反演计算中采用了高斯牛顿技术对未知本构参数进行识别,探讨了测点数目、初值选取和数据噪音对反演结果的影响,数值算例给出了令人满意的结果。This paper presents a general numerical model facilitating to the sensitivity analysis for solving the inverse couple stress problem. A FE based numerical model is developed to formulate direct problem, and direct and adjoint methods are used to conduct on the sensitivity analysis. Gauss-Newton technique is employed to identify unknown constitutive parameters with the consideration of material inhomogeneity. The effects of initial guess, number of sample points and data noise on the solutions are investigated, and satisfactory results are exhibited in the numerical verification.

关 键 词：偶应力 反问题 伴随法 高斯牛顿 

分 类 号：O302[理学—力学]