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.
出处
《工程力学》
EI
CSCD
北大核心
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
关键词
反问题
偶应力
等效参数
有限元
非均质
inverse problem
couple-stress
parameters of equivalent
finite element
inhomogeneity
