By Miguel Vaz Junior, Eduardo A. de Souza Neto, Pablo A. Munoz-Rojas
Chapter 1 fabrics Modeling – demanding situations and views (pages 1–22): Prof. Miguel Vaz, Prof. Eduardo A. de Souza Neto and Prof. Dr. Pablo Andres Munoz?Rojas
Chapter 2 neighborhood and Nonlocal Modeling of Ductile harm (pages 23–72): Jose Manuel de Almeida Cesar de Sa, Francisco Manuel Andrade Pires and Filipe Xavier Costa Andrade
Chapter three fresh Advances within the Prediction of the Thermal homes of metal hole Sphere buildings (pages 73–110): Thomas Fiedler, Irina V. Belova, Graeme E. Murch and Andreas Ochsner
Chapter four Computational Homogenization for Localization and harm (pages 111–164): Thierry J. Massart, Varvara Kouznetsova, Ron H. J. Peerlings and Marc G. D. Geers
Chapter five A combined Optimization technique for Parameter id utilized to the Gurson harm version (pages 165–204): Prof. Dr. Pablo Andres Munoz?Rojas, Luiz Antonio B. da Cunda, Eduardo L. Cardoso, Prof. Miguel Vaz and Guillermo Juan Creus
Chapter 6 Semisolid metal Alloys Constitutive Modeling for the Simulation of Thixoforming tactics (pages 205–256): Roxane Koeune and Jean?Philippe Ponthot
Chapter 7 Modeling of Powder Forming strategies; program of a Three?Invariant Cap Plasticity and an Enriched Arbitrary Lagrangian–Eulerian FE strategy (pages 257–299): Amir R. Khoei
Chapter eight Functionally Graded Piezoelectric fabric structures – A Multiphysics point of view (pages 301–339): Wilfredo Montealegre Rubio, Sandro Luis Vatanabe, Glaucio Hermogenes Paulino and Emilio Carlos Nelli Silva
Chapter nine Variational Foundations of huge pressure Multiscale sturdy Constitutive versions: Kinematical formula (pages 341–378): Prof. Eduardo A. de Souza Neto and Raul A. Feijoo
Chapter 10 A Homogenization?Based Prediction approach to Macroscopic Yield power of Polycrystalline Metals Subjected to Cold?Working (pages 379–412): Kenjiro Terada, Ikumu Watanabe, Masayoshi Akiyama, Shigemitsu Kimura and Kouichi Kuroda
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Extra info for Advanced Computational Materials Modeling: From Classical to Multi-Scale Techniques
Plasticity and damage have been considered as uncoupled mechanisms, each one possessing a speciﬁc Lagrange multiplier (respectively, γ˙p and γ˙d ). In turn, these multipliers must be determined by two different consistency conditions, a restriction imposed by Eq. 39). However, in the original Lemaitre’s model, the evolution of the internal variables considers only one (plastic) multiplier, simply denoted by γ˙ (with no additional subscript). This corresponds to assuming that in Eq. 31) both multipliers, γ˙p and γ˙d , are the same.
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18. 19. 20. 21. 22. J. (2008) Computational Methods for Plasticity: Theory and Applications, John Wiley & Sons, Ltd, Chichester. Yip, S. (2005) Handbook of Materials Modeling, Springer, Berlin. Bao, Y. and Wierzbicki, T. (2004) On fracture locus in the equivalent strain and stress triaxiality space. International Journal of Mechanical Sciences, 46 (1), 81–98. Bao, Y. and Wierzbicki, T. (2004) A comparative study on various ductile crack formulation criteria. Journal of Engineering Materials and Technology: Transactions of the ASME, 126 (3), 314–324.
Advanced Computational Materials Modeling: From Classical to Multi-Scale Techniques by Miguel Vaz Junior, Eduardo A. de Souza Neto, Pablo A. Munoz-Rojas