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Memorias de investigación
Ponencias en congresos:
Energy-Entropy-Momentum integration schemes for non-smooth dissipative problems
Año:2016
Áreas de investigación
  • Ingeniería mecánica, aeronaútica y naval
Datos
Descripción
We present the basic theory for developing novel monolithic and staggered time-stepping al- gorithms for general non-linear, non-smooth, coupled, thermomechanical problems. This work is an extension of the methods presented by Romero [1] to non-smooth problems. The proposed methods are thermodynamically consistent in the sense that their solutions rigorously comply with the two laws of thermodynamics: for isolated systems they preserve the total energy and the entropy never decreases. The formulation of such methods is based on two ideas: express- ing the evolution equation in the so-called General Equations for Non-Equilibrium Reversible Irreversible Coupling (GENERIC) and enforcing from their inception certain directionality and degeneracy conditions on the discrete vector fields. Initially employed for the description of smooth models, GENERIC was recently extended to encompass non-smooth kinetic processes by Mielke [2]. This extension is useful in solid mechanics, for example, in order to encompass plastic effects which are non-smooth by nature. In the presentation, the new ideas are applied to a simple coupled problem: a rheological model for a thermo-elasto-plastic material with hardening. Numerical simultions verify the qualitative features of the proposed methods and illustrate their excellent numerical stability, which stems precisely from their ability to preserve the structure of the evolution equations they discretize.
Internacional
Si
Nombre congreso
15th European Mechanics of Materials Conference
Tipo de participación
960
Lugar del congreso
Brussels
Revisores
Si
ISBN o ISSN
000-00-0000-000-0
DOI
Fecha inicio congreso
07/09/2016
Fecha fin congreso
09/09/2016
Desde la página
0
Hasta la página
1
Título de las actas
15th European Mechanics of Materials Conference
Esta actividad pertenece a memorias de investigación
Participantes
  • Autor: David Portillo Garcia (UPM)
  • Autor: Juan Carlos Garcia Orden (UPM)
  • Autor: Ignacio Romero Olleros (UPM)
Grupos de investigación, Departamentos, Centros e Institutos de I+D+i relacionados
  • Creador: Departamento: Ingeniería Mecánica
  • Departamento: Mecánica de Medios Continuos y Teoría de Estructuras
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