Titlebook: Deformation and Failure in Metallic Materials; Kolumban Hutter,Herbert Baaser Book 2003 Springer-Verlag Berlin Heidelberg 2003 Constitutiv

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Dictionnaire D’épistémologie Génétiquedel. This numerical procedure is formally restricted by the so—called . due to a type change of the differential equations. A time—independent finite strain formulation is applied, based on a multiplicative decomposition of the deformation gradient in an elastic and a plastic part leading to an effi

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Dictionnaire D’épistémologie Génétiquegation are explored numerically using two- and three-dimensional beam networks as models for the foam microstructure around the crack tip. The cell wall material is characterised by an uniaxial elasto-plastic stress-strain relation with linear hardening, a critical fracture stress and a fracture ene

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978-3-642-05649-9Springer-Verlag Berlin Heidelberg 2003

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Numerical Treatment of Material Equations with Yield Surfacesof elastoplasticity and viscoplasticity are classified in the sense of differential-algebraic equations, which motivates the time discretization by implicit Runge-Kutta methods. Next, these methods are applied to the weak dual problem in time, with the space variables kept continuous. We obtain an e

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Differential-Algebraic Equations in Elasto-Viscoplasticityel the evolution of the material and nonlinear equations stand for the balance of momentum. The present paper classifies this coupled system as differential-algebraic equation and shows how its numerical solution can be improved by using the second order time integration method BDF-2. Moreover, the