Theoretical and computational aspects of implementation of anisotropic constitute model for metals with microstructural defects
[ 1 ] Instytut Konstrukcji Budowlanych, Wydział Budownictwa i Inżynierii Środowiska, Politechnika Poznańska | [ P ] employee
2009
paper
english
- anisotropy
- objective rate
- frame indifference
- constitutive relation
EN The material model is stated in terms of the continuum mechanics, in the framework of thermodynamics. The aim of the paper is the implementation of the anisotropic material model as a user subroutine in Abaqus/Explicit environment. The rate form of the anisotropic material model and the applied Eulerian description have enforced the use of the, so called, objective rate, to fulfill the frame indifference requirements. The Lie derivative is accepted to obtain the covariant description of the constitutive structure while in Abaqus/Explicit the Green-Naghdi rate is implemented. The fundamental results of the mathematical anisotropic material model description is given, detailed discussion of the implementation of the Lie derivative in Abaqus/Explicit program is presented and the numerical results for an adiabatic process for anisotropic body with strain rate reaching 104s−1 are shown.
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