Energy-Entropy-Momentum integration of discrete thermo-visco-elastic dynamics

被引：17

作者：

Garcia Orden, Juan Carlos ^{[1
]}

Romero, Ignacio ^{[2
]}

机构：

[1] Tech Univ Madrid, ETSI Caminos, Madrid 28040, Spain

[2] Tech Univ Madrid, ETSI Ind, Madrid 28006, Spain

来源：

EUROPEAN JOURNAL OF MECHANICS A-SOLIDS | 2012年 / 32卷

关键词：

Time integration; Structure preservation; Geometric integration; Coupled problems; Thermodynamics; TIME-STEPPING ALGORITHMS; INVARIANT CONSERVING/DISSIPATING ALGORITHMS; NONLINEAR DYNAMICS; CONSERVING ALGORITHMS; MULTIBODY SYSTEMS; PART I; SCHEMES; ORDER; MODEL; FORMULATION;

D O I：

10.1016/j.euromechsol.2011.09.007

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

A novel time integration scheme is presented for the numerical solution of the dynamics of discrete systems consisting of point masses and thermo-visco-elastic springs. Even considering fully coupled constitutive laws for the elements, the obtained solutions strictly preserve the two laws of thermodynamics and the symmetries of the continuum evolution equations. Moreover, the unconditional control over the energy and the entropy growth have the effect of stabilizing the numerical solution, allowing the use of larger time steps than those suitable for comparable implicit algorithms. Proofs for these claims are provided in the article as well as numerical examples that illustrate the performance of the method. (C) 2011 Elsevier Masson SAS. All rights reserved.

引用

页码：76 / 87

页数：12

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