ANÁLISE QUALITATIVA DE SÓLIDOS ELASTOPLÁSTICOS SOB DEFORMAÇÃO FINITA UTILIZANDO ELEMENTOS DE BARRA BI- ARTICULADOS E 3D 2D Qualitative Analysis of Elastoplastic Solids under Finite Deformation using Bi-Articulated Bar Elements 2D and 3D

2016 
This paper presents a Lagrangian Total description to describe elastoplastic solids under finite deformation. These solids are discretized with truss elements 2D and 3D aiming to obtain analytically internal force vector and the tangent stiffness matrix. Are assumed a hyperelastic constitutive model for the state of uniaxial stress-strain using the Kirchhoff's stress and logarithmic strain, to form a conjugate pair energetically. To describe the finite plastic deformation using the hypothesis of the multiplicative decomposition of uniaxial stretching of the truss element. Finally, we present some numerical simulations of solid 3D discretized with 2D and 3D truss elements.
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