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AuthorRappaz, Michel. author
TitleNumerical Modeling in Materials Science and Engineering [electronic resource] / by Michel Rappaz, Michel Bellet, Michel Deville
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 2003
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Descript XII, 540 p. online resource


This book introduces the concepts and methodologies related to the modelling of the complex phenomena occurring in materials processing. After a short reminder of conservation laws and constitutive relationships, the authors introduce the main numerical methods: finite differences, finite volumes and finite elements. These techniques are developed in three main chapters of the book that tackle more specific problems: phase transformation, solid mechanics and fluid flow. The two last chapters treat inverse methods to obtain the boundary conditions or the material properties and stochastic methods for microstructural simulation. This book is intended for undergraduate and graduate students in materials science and engineering, mechanical engineering and physics and for engineering professionals or researchers who want to get acquainted with numerical simulation to model and compute materials processing


Continuous Media -- The Finite Difference Method -- The Finite Element Method -- Elements of Numerical Algorithms -- Phase Transformations -- Deformation of Solids -- Incompressible Fluid Flow -- Inverse Methods -- Stochastic Methods -- Appendices

Materials science Computer mathematics Condensed matter Mechanical engineering Materials Science Materials Science general Computational Mathematics and Numerical Analysis Characterization and Evaluation of Materials Mechanical Engineering Condensed Matter Physics


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