A temperature-based thermodynamically consistent integration scheme for discrete thermo-elastodynamics

Conde Martín, Sergio and Betsch, Peter and García Orden, Juan Carlos (2015). A temperature-based thermodynamically consistent integration scheme for discrete thermo-elastodynamics. "Communications in Nonlinear Science And Numerical Simulation", v. 32 ; pp. 63-80. ISSN 1007-5704. https://doi.org/10.1016/j.cnsns.2015.08.006.

Description

Title: A temperature-based thermodynamically consistent integration scheme for discrete thermo-elastodynamics
Author/s:
  • Conde Martín, Sergio
  • Betsch, Peter
  • García Orden, Juan Carlos
Item Type: Article
Título de Revista/Publicación: Communications in Nonlinear Science And Numerical Simulation
Date: 2015
ISSN: 1007-5704
Volume: 32
Subjects:
Freetext Keywords: Time integration; Structure preservation; Geometric integration; Thermodynamics; GENERIC formalism
Faculty: E.T.S.I. Caminos, Canales y Puertos (UPM)
Department: Mecánica de Medios Continuos y Teoría de Estructuras
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

The formulation of thermodynamically consistent (TC) time integration methods was introduced by a general procedure based on the GENERIC form of the evolution equations for thermo-mechanical problems. The use of the entropy was reported to be the best choice for the thermodynamical variable to easily provide TC integrators. Also the employment of the internal energy was proved to not involve excessive complications. However, attempts towards the use of the temperature in the design of GENERIC-based TC schemes have so far been unfruitful. This paper complements the said procedure to attain TC integrators by presenting a TC scheme based on the temperature as thermodynamical state variable. As a result, the problems which arise due to the use of the entropy are overcome, mainly the definition of boundary conditions. What is more, the newly proposed method exhibits the general enhanced numerical stability and robustness properties of the entropy formulation.

Funding Projects

TypeCodeAcronymLeaderTitle
Government of SpainDPI 2012-36429UnspecifiedUnspecifiedUnspecified

More information

Item ID: 38464
DC Identifier: http://oa.upm.es/38464/
OAI Identifier: oai:oa.upm.es:38464
DOI: 10.1016/j.cnsns.2015.08.006
Official URL: http://www.sciencedirect.com/science/article/pii/S100757041500283X
Deposited by: Memoria Investigacion
Deposited on: 20 Nov 2015 18:09
Last Modified: 20 Nov 2015 18:09
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