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Fractional step methods for thermo-mechanical damage analyses at transient elevated temperatures
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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 | ||||
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Subjects: | T Technology > TA Engineering (General). Civil engineering (General) Q Science > QA Mathematics |
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Journal or Publication Title: | INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING | ||||
Publisher: | JOHN WILEY & SONS LTD | ||||
ISSN: | 0029-5981 | ||||
Official Date: | 20 June 2000 | ||||
Dates: |
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Volume: | 48 | ||||
Number: | 5 | ||||
Number of Pages: | 25 | ||||
Page Range: | pp. 761-785 | ||||
Publication Status: | Published |
Data sourced from Thomson Reuters' Web of Knowledge
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