A constitutive model, based on large strain plasticity, for simulation of industrial powder compaction processes is presented. The elastic response is stated in terms of a hyperelastic model based on a hookean elastic free energy. Plastic response is defined in terms of a two parameter yield surface that evolves in terms of the relative density. Two different flow rules are considered and tested in front of some available experimental results. Application to the simulation of an actual powder-metallurgy compaction process is also shown.

Aims and Scope of the SeriesThis series publishes text books on topics of general interest in the field of computational engineering sciences.The books will focus on subjects in which numerical methods play a fundamental role for solving problems in engineering and applied sciences. Advances in finite element, finite volume, finite differences, discrete and particle methods and their applications are examples of the topics covered by the series.The main intended audience is the first year graduate student. Some books define the current state of a field to a highly specialised readership; others are accessible to final year undergraduates, but essentially the emphasis is on accessibility and clarity.The books will be also useful for practising engineers and scientists interested in state of the art information on the theory and application of numerical methods. Series Editor VIThe original objective of the research project was and is still today to design composite materials from their own components basic properties, without handling the composite as a single material. This "concern" has permanently pushed forward the research development and has opened the path towards the "material design" suitable for each structure. The subject's complexity and difficulty have demanded the intensive implementation of many techniques previously developed by the author in other research lines such as plasticity, anisotropy, introduction of rigid-body movements using the constitutive equation, local instability through a constitutive formulation, large strains, delamination problems, composites fatigue, etc. Simultaneously, a thorough data base and parallelization intensive computational work has been carried out. Moreover, a finite element code PLCd 2 has been developed and used as a "development and testing tool" to implement these formulations. All this technology has been transferred to the COMET 3 program, which is a finite element code developed at CIMNE for more general purposes.Currently, research on composites is still under way and the temperature and humidity effects on the behavior have been included for a more comprehensive study of the matrixfiber sliding phenomena. We are also trying to take these formulations to the structural finite elements, such as shells and membranes. This work has been possible thanks to the institutional support of CIMNE (International Center for Numerical method in Engineering), which has financially supported this book since its first edition in Spanish in 2003, and later in its English edition. In this latter task many people have participated, and particularly I thank Ms. Hamdy Briceño and Prof. Miguel Cerrolaza for their careful translation and revision of this text. I also thank all my students who have contributed to the correction of the text during the eleven years that this book has been used as a syllabus of "the Nonlinear Dynamics course" in the

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