Inversion of stress from strain without full knowledge of constitutive relations
Inversion of stress from strain without full knowledge of constitutive relations
复制标题
在不完全了解本构关系的情况下从应变反演应力
DOI：
10.1016/s0022-5096(01)00017-5
复制
发表时间：
2001
影响因子：
5.3
通讯作者：
T. Kameda
中科院分区：
文献类型：
--
作者：
M. Hori;T. Kameda
提出了一种新的反演方法来预测应力分布。虽然该方法仅适用于处于二维平面应力或应变状态的物体，但对于本构关系不完全已知的物体，它可以从表面上的位移和沿边界的沿着牵引力估计应力;例如，物体是各向同性的信息，不一定是均匀的或线性的，对于反演是足够的。本方法是对Hori和Kameda的反演方法的改进，它解决了与材料的非均匀性或非线性等效的本征应力边值问题。本方法旨在确定艾里的应力函数，并推导出一个更简单的线性边值问题，从应力反演。例如，一般的线性弹性材料，弹塑性材料，或线性或非线性各向同性材料被认为是。文中给出了模型试验的应力反演结果。
A new inversion method of predicting a stress distribution is proposed. While the method is applicable only to a body in a state of two-dimensional plane stress or strain, it can estimate stress from displacement on the surface and traction along the boundary for a body whose constitutive relations are not fully known; for instance, information that the body is isotropic, not necessarily homogeneous nor linear, is sufficient for the inversion. The present method is a modification of Hori and Kameda's inversion method, which solves boundary value problems of eigenstress that is equivalent with heterogeneity or non-linearity of the material. The present method seeks to identify Airy's stress function and derive a simpler linear boundary value problem from which stress is inverted. Examples such as general linear elastic materials, elasto-plastic materials, or linear or non-linear isotropic materials are considered. The results of stress inversion for model experiments are presented.