engleski

Finite Deformation Elasto-plastic updated Lagrangian-Hencky Formulation

In this article finite deformation elasto-plastic constitutive formulation that assumes concept of multiplicative decomposition of deformation gradient, uses total logarithmic strain measure and hyperelastic relation of constitutive equation for stress is presented and briefly discussed. This formulation is implemented into updated Lagrangian formulation of nonlinear motion. To achieve quadratic convergence in full Newton-Raphson procedure symmetric tangent elasto-plastic constitutive tensor is derived. Main characteristic of developed algorithm are examined and compared with those obtained using hypoelastic constitutive formulation on one plain strain element in finite elasto-plastic response.

numerical modelling ; finite elasto-plastic deformations ; multiplicative decomposition ; Hencky strain measure ; hyperelastic stress relation

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