By Vaz M.Jr., de Souza Neto E.A., Munoz-Rojas P.A. (eds.)
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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Additional info for Advanced Computational Materials Modeling
2 Numerical Implementation The numerical implementation of Lemaitre’s simpliﬁed damage model has been proposed by de Souza Neto  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.  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.
Advanced Computational Materials Modeling by Vaz M.Jr., de Souza Neto E.A., Munoz-Rojas P.A. (eds.)