偶应力反问题参数识别  

PARAMETERS IDENTIFICATION OF INVERSE COUPLE-STRESS PROBLEMS

作　　者：薛齐文[1] 杨海天[2] 

机构地区：[1]大连交通大学交通运输工程学院,大连116028 [2]工业装备结构分析国家重点实验室,大连116023

出　　处：《工程力学》2008年第5期17-21,共5页Engineering Mechanics

基　　金：国家自然科学基金项目(10172024,10421002,10472019,10332010);大连交通大学博士启动基金

摘　　要：利用有限元技术和最小二乘原理,建立了便于敏度分析的偶应力反问题数值求解模型,并采用高斯牛顿方法进行求解。模型考虑了材料的非均质、各向异性等因素,并在计及测量误差的情形下,对其进行了数值验证,得到了令人满意的结果。此外,还通过反问题的求解,对偶应力本构等效的网格材料的等效本构参数进行了估算,并给出相应算例。A general numerical model to identify parameters for inverse couple-stress problem with the least-square method is presented. A FE （Finite Element） model is given, with the consideration of inhomogeneity and facilitating to sensitivity analysis for direct and inverse problems as well as the employment of G-N method. The Isotropic and anisotropic couple-stress problem are considered, including a preliminary investigation of effect of noise data on the results. The satisfactory numerical validation is given. The inverse equivalent computation is also conducted based on the couple-stress theory for grid materials. The parameters of equivalent materials are given by using inverse methods with known information. Numerical examples are given with compared results.

关 键 词：反问题 偶应力 等效参数 有限元 非均质 

分 类 号：O343.1[理学—固体力学]