A unified computational methodology for dynamic thermoelasticity with multiple subdomains under the GSSSS framework involving differential algebraic equation systems

D. Maxam, R. Deokar, Kumar K Tamma

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

A novel and general computational methodology for thermal stress problems with multiple subdomains is presented under the unified generalized single-step single-solve (GSSSS) framework for first- and second-order differential algebraic equations. It enables arbitrary number of subdomains and the coupling of different but compatible time-stepping algorithms ensuring second-order time accuracy in all differential and algebraic variables. The framework permits implicit/explicit coupling and subcycling; however, only selected coupling of algorithms in different subdomains is focused upon. Numerical examples encompassing transient heat conduction with quasi-static thermal stresses, and thermally-induced vibrations are illustrated.

Original languageEnglish (US)
Pages (from-to)163-184
Number of pages22
JournalJournal of Thermal Stresses
Volume42
Issue number1
DOIs
StatePublished - Jan 2 2019

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thermoelasticity
Thermoelasticity
Thermal stress
Differential equations
differential equations
methodology
thermal stresses
Heat conduction
conductive heat transfer
vibration

Keywords

  • Differential algebraic equation
  • dynamics
  • subdomain
  • thermally induced vibrations
  • thermoelasticity
  • time integration

Cite this

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AB - A novel and general computational methodology for thermal stress problems with multiple subdomains is presented under the unified generalized single-step single-solve (GSSSS) framework for first- and second-order differential algebraic equations. It enables arbitrary number of subdomains and the coupling of different but compatible time-stepping algorithms ensuring second-order time accuracy in all differential and algebraic variables. The framework permits implicit/explicit coupling and subcycling; however, only selected coupling of algorithms in different subdomains is focused upon. Numerical examples encompassing transient heat conduction with quasi-static thermal stresses, and thermally-induced vibrations are illustrated.

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