Thermodynamically consistent time-stepping algorithms for non-linear thermomechanical systems

We present the basic theory for developing novel monolithic and staggered time‐stepping algorithms for general non‐linear, coupled, thermomechanical problems. The proposed methods are thermodynamically consistent in the sense that their solutions rigorously comply with the two laws of thermodynamics...

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Vydané v:	International journal for numerical methods in engineering Ročník 79; číslo 6; s. 706 - 732
Hlavný autor:	Romero, Ignacio
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Chichester, UK John Wiley & Sons, Ltd 06.08.2009 Wiley
Predmet:	Algorithms coupled problems Entropy Evolution Exact sciences and technology Fundamental areas of phenomenology (including applications) geometric integration Mathematical analysis Mathematical models Nonlinearity Physics Preserves Solid dynamics (ballistics, collision, multibody system, stabilization...) Solid mechanics Statistical physics, thermodynamics, and nonlinear dynamical systems Structural and continuum mechanics structure preservation Symmetry Thermodynamics time integration Invariant coupled problems Degenerate system Displacement(deformation) Evolution equation Entropy Isolated system Dynamical system Modeling geometric integration Thermodynamics Coupled thermoelasticity Pendulum Numerical stability Non equilibrium system Step method Thermomechanical properties structure preservation Non linear system thermo- dynamics Hamiltonian mechanics Numerical simulation Non linear effect Hamiltonian Time integration
ISSN:	0029-5981, 1097-0207
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