Adaptive octree-based finite element analysis of two- and three-dimensional indentation problems
Adaptive octree-based finite element analysis of two- and three-dimensional indentation problems
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基于自适应八叉树的二维和三维压痕问题有限元分析
DOI：
10.1029/2008jb005591
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发表时间：
2008
影响因子：
--
通讯作者：
J. Braun
中科院分区：
文献类型：
--
作者：
C. Thieulot;P. Fullsack;J. Braun
[1]近年来，为了研究地球岩石圈变形的三维本质，人们在开发数值工具方面做了大量工作。DOUAR就是其中之一：它是一种新的ALE有限元代码，基于自适应网格，这是捕获局部变形的关键功能。为了说明这一点，冲压实验的各种模拟已经进行了刚性塑料材料与冯米塞斯和Drucker-Prager类型的流变。我们提出了基于应变率测量的网格加密算法，并重新推导了平面应变冲压解析解，这使我们能够测试我们的结果的准确性。不同长宽比的各种3-D条冲压实验显示了DOUAR捕捉复杂故障模式的能力。我们还讨论了不可压缩性和刚塑性约束的满足程度。最后，我们展示了一个地壳尺度的变形实验的结果，证明了基于八叉树的网格细化算法的潜力，以解决复杂的三维地球动力学问题，具有很高的效率和精度。
[1] In recent years, much has been done to develop numerical tools to study the three-dimensional nature of the Earth's lithosphere deformation. DOUAR is one of them: it is a new ALE Finite Element code that is based on an adaptive grid, a key feature in the capture of localized deformation. In order to illustrate this, various simulations of punch experiments have been performed on rigid plastic materials with von Mises and Drucker-Prager type of rheologies. We present the grid refinement algorithm based on strain rate measurements and rederive the plane strain punch analytical solution which allows us to test the accuracy of our results. Various 3-D strip punches experiments with different aspect ratios show DOUAR's ability to capture complex fault patterns. We also discuss the degree to which the incompressibility and rigid plasticity constraints are satisfied. Finally, we show the results of a crustal-scale deformation experiment demonstrating the potential of the octree-based mesh refinement algorithm to solve complex three-dimensional geodynamical problems with great efficiency and accuracy.