A comparison of structure-preserving integrators for discrete thermoelastic systems

被引：16

作者：

Krueger, M. ^{[1
]}

Gross, M. ^{[1
]}

Betsch, P. ^{[1
]}

机构：

[1] Univ Siegen, Dept Mech Engn, Chair Computat Mech, Siegen, Germany

来源：

COMPUTATIONAL MECHANICS | 2011年 / 47卷 / 06期

关键词：

Thermoelastic; Transient; Conserving integrators; TIME-STEPPING ALGORITHMS; MOMENTUM CONSERVING ALGORITHMS; CONSERVATION PROPERTIES; NONLINEAR DYNAMICS; FE METHOD; HAMILTONIAN-SYSTEMS; EXACT ENERGY; PART II; SCHEMES; ELASTODYNAMICS;

D O I：

10.1007/s00466-011-0570-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper contains a comparison of three recently proposed structure-preserving time-stepping schemes for nonlinear thermomechanical systems. These schemes can be considered as extension to coupled thermoelastic problems of well-established energy-momentum schemes for nonlinear elastodynamics. The present comparison is performed in the context of a finite-dimensional model problem for coupled thermomechanical systems: the thermoelastic double pendulum. It is shown that, similar to their purely mechanical ancestors, structure-preserving integrators for coupled thermoelasticity in general exhibit superior numerical stability and robustness properties.

引用

页码：701 / 722

页数：22

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