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Thermomechanical modeling of metals at finite strains: first and mixed order finite elements. (English) Zbl 1113.74418

Summary: The aim of this paper is to describe an updated EAS (Enhanced Assumed Strain) finite element formalism developed to model the thermomechanical behavior of metals submitted to large strains. We also expose the use of mixed order elements (first order mechanical elements strongly coupled with quadratic thermal elements) which, as we will show, is of particular interest for modeling fast processes inducing important temperature gradients. The features of this formalism, used jointly with an Updated Lagrangian approach and an hypoelastic anisothermal constitutive formulation, will be described. Three applications involving finite strains and important thermomechanical couplings will be studied. The results obtained will be compared with the results given by the now classical SRI (Selective Reduced Integration) formalism.

MSC:

74S05 Finite element methods applied to problems in solid mechanics
74A15 Thermodynamics in solid mechanics
74C99 Plastic materials, materials of stress-rate and internal-variable type
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