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.

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 Is written to meet the needs of a textbook at the undergraduate and graduate levels in materials science and engineering Aims to acquaint the materials science student or the engineer with the numerical methods which are state-of-the-art in this subject Includes supplementary material: sn.pub/extras

Inhalt
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.