Hyperelastic finite deformation analysis with the unsymmetric finite element method containing homogeneous solutions of linear elasticity
Hyperelastic finite deformation analysis with the unsymmetric finite element method containing homogeneous solutions of linear elasticity
复制标题
使用包含线性弹性齐次解的非对称有限元方法进行超弹性有限变形分析
DOI：
10.1002/nme.6378
复制
发表时间：
2020-05
影响因子：
2.9
通讯作者：
Chen-Feng Li
中科院分区：
文献类型：
--
作者：
Zhi Li;Song Cen;Junbin Huang;Chen-Feng Li
将非对称4节点8自由度平面有限元US-ATFQ4推广到超弹性有限变形分析中。因为的试函数。US-ATFQ4包含线性弹性控制方程的齐次闭解析解，提出的策略的关键是如何处理。利用这些线性解析试函数（atf）进行超弹性有限变形分析。假设atf在每个增量都能正常工作，设计了一种由atf插值的变形梯度更新算法。此外，针对超弹性材料模型，讨论了当前构型下相应的atf的更新问题，并采用neo-Hookean模型验证了US-ATFQ4超弹性有限变形分析的现有公式。实例表明，该公式不仅在几何非线性问题中保持了较高的精度和网格畸变容忍度，而且在应变较大的可压缩或拟不可压缩超弹性有限变形问题中也具有优异的性能。
A recent unsymmetric 4-node, 8-DOF plane finite element US-ATFQ4 is generalized to hyperelastic finite deformation analysis. Since the trial functions of.US-ATFQ4 contain the homogenous closed analytical solutions of governing equations for linear elasticity, the key of the proposed strategy is how to deal.with these linear analytical trial functions (ATFs) during the hyperelastic finite deformation analysis. Assuming that the ATFs can properly work in each increment, an algorithm for updating the deformation gradient interpolated by ATFs is designed. Furthermore, the update of the corresponding ATFs referred to current configuration is discussed with regard to the hyperelastic material model, and a specified model, neo-Hookean model, is employed to verify the present formulation of US-ATFQ4 for hyperelastic finite deformation analysis. Various examples show that the present formulation not only remain the high accuracy andmesh distortion tolerance in the geometrically nonlinear problems, but also possess excellent performance in the compressible or quasi-incompressible hyperelastic finite deformation problems where the strain is large.
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DOI：
10.1016/j.cma.2014.02.016
发表时间：
2014-06
影响因子：
7.2
作者：
Timothy J. Cowan;W. Coombs
通讯作者：
Timothy J. Cowan;W. Coombs
DOI：
10.1016/j.cma.2017.05.018
发表时间：
2017-08
影响因子：
7.2
作者：
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通讯作者：
S. Wulfinghoff;H. Bayat;A. Alipour;S. Reese
影响因子：
2.9
作者：
Pei Zhou;S. Cen;Junbin Huang;Chenfeng Li;Qun Zhang
通讯作者：
Pei Zhou;S. Cen;Junbin Huang;Chenfeng Li;Qun Zhang
影响因子：
2.9
作者：
E. A. S. Neto;F. Pires;D. Owen
通讯作者：
E. A. S. Neto;F. Pires;D. Owen
DOI：
10.1002/nme.1620290802
发表时间：
1990-06-01
影响因子：
2.9
作者：
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通讯作者：
RIFAI, MS