Fractional step methods for thermo-mechanical damage analyses at transient elevated temperatures
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 0029-5981Full text not available from this repository.
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|
|Date:||20 June 2000|
|Number of Pages:||25|
|Page Range:||pp. 761-785|
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