Fractional step methods for thermo-mechanical damage analyses at transient elevated temperatures

被引:0
作者
Stabler, J
Baker, G [1 ]
机构
[1] Univ Warwick, Sch Engn, Coventry CV4 7AL, W Midlands, England
[2] Univ Queensland, Dept Civil Engn, St Lucia, Qld 4072, Australia
关键词
thermo-mechanics; coupled problems; time integration; fractional step methods;
D O I
10.1002/(SICI)1097-0207(20000620)48:5<761::AID-NME906>3.0.CO;2-I
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In the interest of computational efficiency this paper describes the implementation of a coupled thermo-damage constitutive model into a coupled time-stepping analysis using fractional step methods. To begin it is demonstrated that a thermo-damage model can be presented in a thermodynamic framework with the evolution equations satisfying the first and second laws of thermodynamics. The equations of evolution are partitioned in two ways, thus defining two fractional step methods: an isothermal method and an isentropic method. When implemented into a time-stepping algorithm the isentropic method maintains a precise energy balance for the entire analysis where as the isothermal method can only provide an energy balance at the end of each thermal time step. In addition, a stability analysis shows that the Isentropic analysis is unconditionally stable while a isothermal analysis is at best conditionally stable. Simulations of thermal fracture in a restrained specimen under heat show stable growth of damage to failure. Copyright (C) 2000 John Wiley & Sons, Ltd.
引用
收藏
页码:761 / 785
页数:25
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