By Vaz M.Jr., de Souza Neto E.A., Munoz-Rojas P.A. (eds.)
With its dialogue of thoughts for modeling complicated fabrics utilizing new numerical ideas, usually these in response to the finite aspect strategy, this monograph covers quite a number issues together with computational plasticity, multi-scale formulations, optimization and parameter id, harm mechanics and nonlinear finite parts.
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Additional resources for Advanced Computational Materials Modeling
Although Lemaitre’s ductile damage continuum models have been successful in describing the macroscopic stress and strain ﬁelds in the presence of internal degradation, they fall within the category of local formulations. Classical local Advanced Computational Materials Modeling: From Classical to Multi-Scale Techniques. ´ Edited by Miguel Vaz Junior, Eduardo A. de Souza Neto, and Pablo A. Munoz-Rojas Copyright 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim ISBN: 978-3-527-32479-8 24 2 Local and Nonlocal Modeling of Ductile Damage continuum theories are based on the assumption that the stress at a given point uniquely depends on the current values (and possibly also the previous history) of deformation and temperature at that point.
The ﬁrst nonlocal developments can be traced back to the 1960s with the pioneering works of Rogula  and Eringen . These authors were the ﬁrst ones trying to incorporate the inﬂuence of the microstructure into traditional (local) continuum theory by means of a nonlocal formulation. However, they limited their approach to the elastic domain and the ﬁrst nonlocal formulations within an elastoplastic framework only appeared in the beginning of the 1980s [13–15]. 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].
International Journal of Mechanical Sciences, 51, 619–630. M. S. (2009) Nonlocal damage theory in 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33. hybrid-displacement formulations. International Journal of Solids and Structures, 46, 3516–3534. , and Fuschi, P. (2009) Finite element solutions for nonhomogeneous nonlocal elastic problems. Mechanics Research Communications, 36, 755–761. M. (2009) Consistent tangent stiffness for local-nonlocal damage modelling of metals. Procedia Engineering, 1, 177–180.
Advanced Computational Materials Modeling by Vaz M.Jr., de Souza Neto E.A., Munoz-Rojas P.A. (eds.)