UNSPECIFIED (2000) Fractional step methods for thermo-mechanical damage analyses at transient elevated temperatures. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 48 (5). pp. 761-785. ISSN 0029-5981

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Abstract

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.

Item Type:	Journal Article
Subjects:	T Technology > TA Engineering (General). Civil engineering (General) Q Science > QA Mathematics
Journal or Publication Title:	INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
Publisher:	JOHN WILEY & SONS LTD
ISSN:	0029-5981
Date:	20 June 2000
Volume:	48
Number:	5
Number of Pages:	25
Page Range:	pp. 761-785
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/13367

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