...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Journal of Biomechanics >Finite element simulation of articular contact mechanics with quadratic tetrahedral elements
【24h】

Finite element simulation of articular contact mechanics with quadratic tetrahedral elements

机译：二次四面体单元的关节接触力学有限元模拟

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

Although it is easier to generate finite element discretizations with tetrahedral elements, trilinear hexahedral (HEX8) elements are more often used in simulations of articular contact mechanics. This is due to numerical shortcomings of linear tetrahedral (TET4) elements, limited availability of quadratic tetrahedron elements in combination with effective contact algorithms, and the perceived increased computational expense of quadratic finite elements. In this study we implemented both ten-node (TET10) and fifteen-node (TET15) quadratic tetrahedral elements in FEBio (www.febio.org) and compared their accuracy, robustness in terms of convergence behavior and computational cost for simulations relevant to articular contact mechanics. Suitable volume integration and surface integration rules were determined by comparing the results of several benchmark contact problems. The results demonstrated that the surface integration rule used to evaluate the contact integrals for quadratic elements affected both convergence behavior and accuracy of predicted stresses. The computational expense and robustness of both quadratic tetrahedral formulations compared favorably to the HEX8 models. Of note, the TET15 element demonstrated superior convergence behavior and lower computational cost than both the TET10 and HEX8 elements for meshes with similar numbers of degrees of freedom in the contact problems that we examined. Finally, the excellent accuracy and relative efficiency of these quadratic tetrahedral elements was illustrated by comparing their predictions with those for a HEX8 mesh for simulation of articular contact in a fully validated model of the hip. These results demonstrate that TET10 and TET15 elements provide viable alternatives to HEX8 elements for simulation of articular contact mechanics. (C) 2016 Elsevier Ltd. All rights reserved.
机译：尽管使用四面体元素生成有限元离散化较为容易，但是三线性六面体（HEX8）元素更常用于关节接触力学的模拟。这是由于线性四面体（TET4）元素的数值缺陷，与有效接触算法结合使用的二次四面体元素的可用性有限以及感知到的二次有限元计算量的增加。在这项研究中，我们在FEBio（www.febio.org）中实现了十节点（TET10）和十五节点（TET15）二次四面体，并比较了它们的准确性，鲁棒性，收敛行为和与关节相关的仿真的计算成本联系技工。通过比较几个基准接触问题的结果，确定了合适的体积积分和表面积分规则。结果表明，用于评估二次元接触积分的表面积分规则会影响会聚行为和预测应力的准确性。与HEX8模型相比，两个二次四面体公式的计算费用和鲁棒性都很好。值得注意的是，对于我们研究的接触问题中具有相似自由度数的网格，TET15元素表现出比TET10和HEX8元素更好的收敛性和更低的计算成本。最后，通过将这些二次四面体元素的预测结果与在完全验证的髋部模型中模拟关节接触的HEX8网格的预测结果进行比较，可以说明这些极好的精度和相对效率。这些结果表明，TET10和TET15元件可替代HEX8元件，以模拟关节接触力学。 （C）2016 Elsevier Ltd.保留所有权利。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号