Generalized Framework For Elastoplastic Models: a theoretical and computational approach
Danilo Bento Oliveira1; Samuel Silva Penna1; Roque Luiz da Silva Pitangueira1
1 Universidade Federal de Minas Gerais
doi:10.20906/CPS/COB-2015-1845
Resumo
The present article is inserted on the research segment for numerical and computational methods for engineering and it is result from the implementation of elastoplastic constitutive models with isotropic and kinematic hardening in a computing environment named INSANE (INterative Structural ANalysis Environment), a free software for structural analysis, based on object-oriented programming paradigm, developed by the Structural Engineering Department of Federal University of Minas Gerais. The present paper refers to theory of plasticity, a necessary extension of the theory of elasticity that provide more close estimates to the real behavior of the structure's from the constitutive point of view. The theoretical framework necessary to the implementation of the mathematical theory of plasticity is approached, and the formulation based on stress of the von Mises plasticity model is described in detail, highlighting the expressions that shape the surface to isotropic, kinematic and mixed hardening. Finally, the paper shows numerical simulations based on Finite Element Method, considering the constitutive model presented, with linear hardening laws. The results of these analyzes were compared with tests results found in the literature.
Palavras-chave: Computational Plasticity; Constitutive Models; Hardening Laws; Return Mapping; INSANE