Energy-conserving algorithms for a corotational formulation

被引：5

作者：

Salomon, J. ^{[1
]}

Weiss, A. A. ^{[1
]}

Wohlmuth, B. I. ^{[1
]}

机构：

[1] Univ Stuttgart, IANS, D-70569 Stuttgart, Germany

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 2008年 / 46卷 / 04期

关键词：

elastodynamic; corotational formulation; energy-conservative schemes; large displacements; small strains;

D O I：

10.1137/060669863

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Standard nonlinear schemes for the the simulation of elastodynamic problems have several shortcomings when considering high-speed rotations. To tackle these problems, we use a corotational framework and a corresponding specific linearization to design new energy-conserving numerical schemes. In the two-dimensional case, an algorithm preserving also angular momentum is presented. The existence of a solution for the fully discrete setting of this algorithm is established. Numerical results illustrate the flexibility and efficiency of the proposed algorithms.

引用

页码：1842 / 1866

页数：25

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