Numerical Modeling in Materials Science and Engineering

1. Front Matter

   Pages i-xi

   PDF

2. Continuous Media

   • Michel Rappaz, Michel Bellet, Michel Deville

   Pages 1-45

3. The Finite Difference Method

   • Michel Rappaz, Michel Bellet, Michel Deville

   Pages 47-92

4. The Finite Element Method

   • Michel Rappaz, Michel Bellet, Michel Deville

   Pages 93-147

5. Elements of Numerical Algorithms

   • Michel Rappaz, Michel Bellet, Michel Deville

   Pages 149-205

6. Phase Transformations

   • Michel Rappaz, Michel Bellet, Michel Deville

   Pages 207-285

7. Deformation of Solids

   • Michel Rappaz, Michel Bellet, Michel Deville

   Pages 287-364

8. Incompressible Fluid Flow

   • Michel Rappaz, Michel Bellet, Michel Deville

   Pages 365-445

9. Inverse Methods

   • Michel Rappaz, Michel Bellet, Michel Deville

   Pages 447-475

10. Stochastic Methods

    • Michel Rappaz, Michel Bellet, Michel Deville

    Pages 477-515

11. Appendices

    • Michel Rappaz, Michel Bellet, Michel Deville

    Pages 517-534

12. Back Matter

    Pages 535-540

    PDF

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.

• Simulation
• Transformation
• algorithm
• algorithms
• finite element method
• finite elements
• materials science
• materials science and modelling
• mechanical engineering
• mechanics
• model
• modeling
• numerical methods
• numerical simulation

From the reviews:

"The book offers an impressive and excellent overview of a large variety of important aspects in the broad field of numerical modelling in material science and engineering. The authors included many meaningful and scientifically interesting examples. These are very valuable not only for students … but also for the advanced computationally-oriented reader interested looking into new areas of research. … To conclude, the book is highly recommendable to advanced students as well as scientists in the fields of engineering and material science." (Technische Mechanik, Vol. 24 (3-4), 2004)

"The book under review is devoted to the numerical simulation and modeling in (especially) materials science and engineering. It aims at familiarizing the materials scientists and engineers with the numerical methods and techniques that are state-of-the-art in this subject. … this is a well written and well-organized reference book that will hopefully prove to be indispensable, especially for those materials scientists and engineers whose investigations make use of the various numerical methods and techniques developed in this book." (HM Srivastava, Applied Mechanics Reviews, Vol. 56 (6), November, 2003)

"This book is essentially devoted to numerical simulation and modeling in engineering and materials science. … this book is written to meet the needs of a textbook at the undergraduate and graduate levels in materials science and engineering. It may also be useful for researchers and engineering professionals who are interested in numerical methods, numerical simulation and modeling in engineering and materials science. … Summarizing, this book is an important addition to the literature on material science." (L. Debnath, Zentralblatt MATH, Vol. 1024, 2003)

"This book is devoted to numerical simulation and modeling in materials science and engineering. The aim of the monograph is to acquaint the materials science student orthe engineer with the numerical methods which are state-of-the-art in this subject … . The book is written at an introductory level and goes directly to the point. It should be recommended to students in material science and engineers who are either new in this field or want to get acquainted with numerical methods." (Jean-Luc Guermond, Mathematical Reviews, 2003 h)

“This is a carefully constructed introduction to the techniques and applications of numerical modelling in materials science and engineering. … The layout of the text is clear and the order of presentation of material is logical. … The advantage, of course, is that the book will survive changes in programming languages and fashions, and hold its value both as a textbook for undergraduates and graduates and as a reference.” (A. H. Harker, Contemporary Physics, February, 2012)

• Labo. Simulation des Matériaux (LSMX), Ecole Polytechnique Fédérale de Lausanne, Lausanne, Switzerland

  Michel Rappaz

• Centre de Mise en Forme des, Mines ParisTech, Sophia Antipolis CX, France

  Michel Bellet

• Federale Lausanne (EPFL), Ecole Polytechnique, Lausanne, Switzerland

  Michel Deville

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