An error indicator for parameter identification with stabilized mixed tetrahedrals
An error indicator for parameter identification with stabilized mixed tetrahedrals
复制标题
稳定混合四面体参数识别的误差指示器
DOI：
10.1002/pamm.201110141
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发表时间：
2011
期刊：
影响因子：
--
通讯作者：
R. Mahnken
中科院分区：
文献类型：
--
作者：
K.-U. Widany;R. Mahnken
采用最小二乘泛函迭代求最小二乘泛函，实现了考虑应力应变非均匀状态的本构律参数辨识。在该优化问题的每个迭代步骤中都进行了有限元分析，其结果是比单个有限元分析的数值成本要高得多。因此，需要有效的离散化以保持较低的数值成本。为了解决这一问题，考虑了一种基于后验误差指标[1]的自适应网格细化，从而得到适合于参数识别问题的细化。目的是将误差指标应用于低阶四面体单元的有限元方法，有利于自适应网格细化，并减少计算量。元件配方中的附加稳定化条款[4,6]减少了体积锁定效应，使元件适用于（几乎）不可压缩的材料行为。数值算例说明了这项工作的进展。（©2011 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim）
The identification of parameters in constitutive laws considering inhomogeneous states of stress and strain is realized by iteratively minimizing a least squares functional. In each iterative step of this optimization problem a finite element analysis is carried out which results in a significant higher numerical cost than a single finite element analysis. Consequently, an efficient discretization is required to keep the numerical cost low. To address this problem an adaptive mesh refinement is considered which is based on a posteriori error indicators [1] leading to refinements appropriate to the parameter identification problem. The goal is to apply the error indicators to the finite element method for tetrahedral elements of low order which are preferable for adaptive mesh refinements and in addition reduce computational effort. Additional stabilization terms in the element formulation [4, 6] reduce volume locking effects making the elements suitable for (nearly) incompressible material behavior. Numerical examples illustrate the progress on this work. (© 2011 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)
使用体积和面积气泡函数增强插值的四面体双线性混合有限元的稳定性
影响因子：
2.9
作者：
R. Mahnken;I. Caylak
通讯作者：
I. Caylak
影响因子：
7.2
作者：
Bernd Kleuter;A. Menzel;P. Steinmann
通讯作者：
P. Steinmann