Identification of nonlinear elastic solids by a finite element method
Identification of nonlinear elastic solids by a finite element method
复制标题
非线性弹性固体的有限元法辨识
DOI：
10.1016/0045-7825(74)90030-9
复制
发表时间：
1974
影响因子：
7.2
通讯作者：
R. Taylor
中科院分区：
文献类型：
--
作者：
Robert H. Iding;K. Pister;R. Taylor
利用实验数据表征非线性弹性固体的应力本构函数的问题被表述为反边值问题。通过引入一种材料参数化技术，扩展了有限元离散化的使用，该技术利用应力本构函数域上定义的有限元。然后将离散辨识问题简化为耦合数据集和离散边值问题的非线性代数方程组。采用加权最小二乘误差范数生成方程，得到未知材料参数，使测量数据误差的影响最小化。文中还包括一个说明性的数值实验。
The problem of utilizing experimental data to characterize the stress constitutive function for a nonlinear elastic solid is formulated as an inverse boundary value problem. The use of finite element discretization is extended by introducing a technique of material parameterization that utilizes finite elements defined over the domain of the stress constitutive function. The discretized identification problem is then reduced to a system of nonlinear algebraic equations that couples the data set and the discretized boundary value problem. The effect of errors in measured data is minimized by employing a weighted least squares error norm to generate the equations from which the unknown material parameters are obtained. An illustrative numerical experimental is included.