By Vaz M.Jr., de Souza Neto E.A., Munoz-Rojas P.A. (eds.)
With its dialogue of ideas for modeling complicated fabrics utilizing new numerical strategies, usually these according to the finite point process, this monograph covers quite a number themes together with computational plasticity, multi-scale formulations, optimization and parameter identity, harm mechanics and nonlinear finite parts.
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Extra info for Advanced Computational Materials Modeling
After these works, signiﬁcant developments have been made by several authors who addressed theoretical and computational issues on both integral-type and gradient-dependent nonlocal enrichments [16–25]. This chapter is devoted to the constitutive modeling and computational aspects of continuum damage mechanics (CDMs) based on Lemaitre’s elastoplastic damage theory. Our intention here is to provide an overview to this promising approach, which has been gaining widespread acceptance over the last three decades.
This corresponds to assuming that in Eq. 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.
44. 45. 46. 47. 48. 49. 50. analyses of 3D regular open cell structures. Journal of Materials Science, 40, 5859–5866. D. (2008) The quasi-static and blast loading response of lattice structures. International Journal of Impact Engineering, 35, 795–810. E. (2007) Numerical simulations of 3D open cell structures – inﬂuence of structural irregularities on elasto-plasticity and deformation localization. International Journal of Solids and Structures, 44, 2990–3003. E. (2009) A ﬁnite element study on the effects of disorder in cellular structures.