Thermodynamisch konsistente Formulierung des gekoppelten Systems der Thermoelastoplastizität bei großen Verzerrungen auf der Basis eines Substrukturkonzepts
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Titel:
Thermodynamisch konsistente Formulierung des gekoppelten Systems der Thermoelastoplastizität bei großen Verzerrungen auf der Basis eines Substrukturkonzepts
Weitere Titel:
Thermodynamically consistent formulation of the coupled system of thermoelastoplasticity at large strains based on a substructure concept
Beschreibung:
Non-negligible coupled thermal and mechanical
effects occur in several physical and industrial
procedures, e.g. warm for ming processes.
The authors present the theoretical background of
a phenomenological thermoelastoplastic material
model at large strains as well as its numerical
realization within the context of appropriate
finite element formulations. As usual, the presented
thermodynamical consistent constitutive approach is
based on the multiplicative decomposition of
the deformation gradient, and a corresponding
additive decomposition of the free Helmholtz
energy density. For the numerical treatment of
thermoelastoplastic problems within a finite
element approach, weak formulations of the balance
equation of momentum and the heat conduction
equation in material description are developed.
For the solution of non-linear boundary value
problems the linearization of the weak formulations
is presented. Within the context of the mechanical
problem the temperature dependence of material
parameters as well as the thermal expansion are
considered. The temperature evolution will be
affected by non-thermal phenomena like the
thermoelastic effect and plastic dissipation.
Several numerical procedures for the solution of
the coupled thermomechanical problem are
discussed.