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Download PDF by Vaz M.Jr., de Souza Neto E.A., Munoz-Rojas P.A. (eds.): Advanced Computational Materials Modeling

By Vaz M.Jr., de Souza Neto E.A., Munoz-Rojas P.A. (eds.)

ISBN-10: 3527324798

ISBN-13: 9783527324798

With its dialogue of recommendations for modeling complicated fabrics utilizing new numerical suggestions, almost always these in response to the finite point process, this monograph covers a number issues together with computational plasticity, multi-scale formulations, optimization and parameter identity, harm mechanics and nonlinear finite components.

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2 Numerical Implementation The numerical implementation of Lemaitre’s simplified damage model has been proposed by de Souza Neto [46] and is briefly reviewed in this section. The efficiency is attained by numerically integrating the material model by means of a conventional fully implicit elastic predictor/return mapping scheme, typically adopted in a finite element framework (see Ref. [49] for more details on return mapping schemes). The algorithm for the numerical integration of the constitutive model starts with the definition of the so-called elastic trial state.

31) both multipliers, γ˙p and γ˙d , are the same. 4 Modified Local Damage Models plasticity occurs. On the other hand, this is a reasonable hypothesis in the case of ductile metals since experimental evidence has already shown that damage is generally induced by plasticity [1–3, 26]. Another important conclusion is the fact that the hydrostatic pressure, p, plays no role in the damage threshold function in Lemaitre’s original model. , on how much damage will grow), but the mechanism that triggers damage evolution is uniquely dependent of the von Mises equivalent stress, q, which in turn is computed from a purely deviatoric stress measure.

And Suquet, P. (1983) Continuum thermodynamics. ASME Journal of Applied Mechanics, 50, 1010–1020. , and Hirayama, N. (2008) A method of numerical material testing in nonlinear multiscale material analyses. Transactions of the Japan Society of Mechanical Engineering A, 74, 1084–1094 (in Japanese). 21 22 1 Materials Modeling – Challenges and Perspectives 51. , 52. 53. 54. 55. 56. and Peri´c, D. (2008) An approach to the mechanical constitutive modelling of arterial wall tissue based on homogenization and optimization.

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