Energy-Entropy-Momentum integration of discrete thermo-visco-elastic dynamics.

García Orden, Juan Carlos and Romero Olleros, Ignacio (2011). Energy-Entropy-Momentum integration of discrete thermo-visco-elastic dynamics.. In: "Congress on Numerical Methods in Engineering, CMNE|2011", 14/06/2011 - 17/06/2011, Coimbra, Portugal.

Description

Title: Energy-Entropy-Momentum integration of discrete thermo-visco-elastic dynamics.
Author/s:
  • García Orden, Juan Carlos
  • Romero Olleros, Ignacio
Item Type: Presentation at Congress or Conference (Article)
Event Title: Congress on Numerical Methods in Engineering, CMNE|2011
Event Dates: 14/06/2011 - 17/06/2011
Event Location: Coimbra, Portugal
Title of Book: Proceedings of the Congress on Numerical Methods in Engineering, CMNE|2011
Date: 2011
Subjects:
Freetext Keywords: Time integration, structure preservation, geometric integration, coupled problems, thermodynamics
Faculty: E.T.S.I. Industriales (UPM)
Department: Mecánica Estructural y Construcciones Industriales [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

A novel time integration scheme is presented for the numerical solution of the dynamics of discrete systems consisting of point masses and thermo-visco-elastic springs. Even considering fully coupled constitutive laws for the elements, the obtained solutions strictly preserve the two laws of thermo dynamics and the symmetries of the continuum evolution equations. Moreover, the unconditional control over the energy and the entropy growth have the effect of stabilizing the numerical solution, allowing the use of larger time steps than those suitable for comparable implicit algorithms. Proofs for these claims are provided in the article as well as numerical examples that illustrate the performance of the method.

More information

Item ID: 12436
DC Identifier: http://oa.upm.es/12436/
OAI Identifier: oai:oa.upm.es:12436
Official URL: http://www.itecons.uc.pt/cmne2011/uk/introducao.htm
Deposited by: Memoria Investigacion
Deposited on: 14 Aug 2012 08:56
Last Modified: 21 Apr 2016 11:41
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