• 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Computer Methods in Applied Mechanics and Engineering >A mixed variational framework for the design of energy-momentum schemes inspired by the structure of polyconvex stored energy functions
【24h】

A mixed variational framework for the design of energy-momentum schemes inspired by the structure of polyconvex stored energy functions

机译：受多元凸储能函数结构启发的混合动力框架设计能量动量方案

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

A new approach to the design of energy-momentum (EM) consistent algorithms for nonlinear elastodynamics is proposed. The underlying mixed variational formulation is motivated by the structure of polyconvex stored energy functions and benefits from the notion of a tensor cross product for second-order tensors. The structure-preserving discretization in time of the mixed variational formulation yields an EM consistent semi-discrete formulation. The semi-discrete formulation offers several options for the discretization in space. In the special case of a purely displacement-based method a new form of the algorithmic stress formula is obtained. Several numerical examples are presented to evaluate the performance of the newly developed schemes. (C) 2018 Elsevier B.V. All rights reserved.
机译：提出了一种新的非线性弹性动力学能量动量（EM）一致性算法设计方法。潜在的混合变分公式受多凸存储能量函数的结构影响，并且受益于二阶张量的张量叉积的概念。混合变化配方随时间的结构保留离散产生了EM一致的半离散配方。半离散公式为空间离散提供了多种选择。在纯基于位移的方法的特殊情况下，获得了一种新形式的算法应力公式。给出了几个数值示例，以评估新开发方案的性能。 （C）2018 Elsevier B.V.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