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 contemporary Advances within the Prediction of the Thermal homes of steel hole Sphere constructions (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 process 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 steel Alloys Constitutive Modeling for the Simulation of Thixoforming procedures (pages 205–256): Roxane Koeune and Jean?Philippe Ponthot
Chapter 7 Modeling of Powder Forming methods; program of a Three?Invariant Cap Plasticity and an Enriched Arbitrary Lagrangian–Eulerian FE process (pages 257–299): Amir R. Khoei
Chapter eight Functionally Graded Piezoelectric fabric platforms – A Multiphysics standpoint (pages 301–339): Wilfredo Montealegre Rubio, Sandro Luis Vatanabe, Glaucio Hermogenes Paulino and Emilio Carlos Nelli Silva
Chapter nine Variational Foundations of enormous pressure Multiscale good 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 energy 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 resources for Advanced Computational Materials Modeling: From Classical to Multi-Scale Techniques
48) in which the strain deviator and the volumetric strain have been denoted, respectively, by εd and εv . Finally, with Eq. 49) where q˜ trial n+1 is necessary for the proper evaluation of the yield function and to check whether the pseudoincrement is elastic or plastic. 50) −Yn+1 s Dn+1 = Dn + 1−Dγ r n+1 qn+1 − σ (R ) = 0 y n+1 1−D n+1 e εn+1 , where Rn+1 , γ , and Dn+1 are the unknowns of the incremental initial boundary value constitutive problem. It is important to remark that the last equation of the system is the consistency condition which, in practice, acts as a constraint for the constitutive problem.
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]. This chapter is devoted to the constitutive modeling and computational aspects of continuum damage mechanics (CDMs) based on Lemaitre’s elastoplastic damage theory.
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. Acta Biomaterialia, 5, 381–390.
Advanced Computational Materials Modeling: From Classical to Multi-Scale Techniques by Miguel Vaz Junior, Eduardo A. de Souza Neto, Pablo A. Munoz-Rojas