By Vaz M.Jr., de Souza Neto E.A., Munoz-Rojas P.A. (eds.)
With its dialogue of suggestions for modeling complicated fabrics utilizing new numerical options, mostly these in response to the finite point approach, this monograph covers a number themes together with computational plasticity, multi-scale formulations, optimization and parameter id, harm mechanics and nonlinear finite parts.
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Extra info for Advanced Computational Materials Modeling
The thermodynamic force associated with damage is denoted as −Y and is called energy release rate. 10) where ψ ed and ψ p are, respectively, the elastic-damage and plastic contribution to the state potential. 1 The Elastic State Potential On the basis of the hypothesis of strain equivalence for an isothermal process, Lemaitre’s model postulates ψ ed such that 1 e ε : (1 − D) De : ε e 2 where De is the standard isotropic elasticity tensor. 3 Lemaitre’s Ductile Damage Model is the von Mises equivalent stress.
These hypotheses are reasonable for a large number of engineering materials and applications, since the major concern is usually the behavior of the material at the macroscale. Nevertheless, a different approach has to be pursued when deformation mechanisms governed by microscopic phenomena as well as scale effects have to be considered in order to predict certain phenomena. Nonlocal theories have emerged as an alternative constitutive framework on the continuum level, that is, used to bridge the gap between the micromechanical level and the classical continuum level.
Although the text is based on the authors’ own research, and inevitably emphasizes the authors’ point of view, we attempt to offer a balanced review of the main advances in the ﬁeld of ductile damage modeling that have taken place within the last two decades or so. 1 Damaged element. 2 Continuum Damage Mechanics Since the pioneering work by Kachanov , signiﬁcant progress has been achieved in the modeling of internal degradation of materials within the theory of continuum mechanics. By incorporating new state variables into the constitutive model, CDM has emerged, over the last decades, as a very effective theory to describe material deformability and predict failure onset.
Advanced Computational Materials Modeling by Vaz M.Jr., de Souza Neto E.A., Munoz-Rojas P.A. (eds.)