Computational Materials Science: The Simulation of Materials, Microstructures and PropertiesModeling and simulation play an ever increasing role in the development and optimization of materials. Computational Materials Science presents the most important approaches in this new interdisciplinary field of materials science and engineering. The reader will learn to assess which numerical method is appropriate for performing simulations at the various microstructural levels and how they can be coupled. This book addresses graduate students and professionals in materials science and engineering as well as materials-oriented physicists and mechanical engineers. |
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Page 33
... finite difference techniques . Most of the finite difference simulations addressed in this book are discrete not only in time but also in space . Finite difference methods approximate the derivatives that appear in differential ...
... finite difference techniques . Most of the finite difference simulations addressed in this book are discrete not only in time but also in space . Finite difference methods approximate the derivatives that appear in differential ...
Page 34
The Simulation of Materials, Microstructures and Properties Dierk Raabe. 3.3 Fundamentals of the Finite Difference Method 3.3.1 Discretization of Time The finite element and the finite difference methods are related in that they both ...
The Simulation of Materials, Microstructures and Properties Dierk Raabe. 3.3 Fundamentals of the Finite Difference Method 3.3.1 Discretization of Time The finite element and the finite difference methods are related in that they both ...
Page 250
... finite element grid determine the predictive relevance of the simulation . As a rule the accuracy of solid mechanics calculations can be increased by decreasing the ... Finite Element and Difference Methods at the Meso 250 15 Introduction.
... finite element grid determine the predictive relevance of the simulation . As a rule the accuracy of solid mechanics calculations can be increased by decreasing the ... Finite Element and Difference Methods at the Meso 250 15 Introduction.
Contents
Material Constants | 1 |
Molecular Dynamics | 7 |
GinzburgLandauType Phase Field Kinetic Models | 10 |
Copyright | |
17 other sections not shown
Common terms and phrases
according allows amounts applications approach approximate assumed atoms average boundary calculated cell cellular Chapter classical components concentration concept considered constant coordinates crystal defects defined density depends derivatives described differential equations diffusion discrete dislocation displacement distribution elastic electron energy ensemble equilibrium et al evolution examples expression field Figure finite difference finite element force formulation function given grain grain boundary growth independent instance integral interaction interface introduced kinetic lattice macroscopic materials science matrix means mechanics Metall method microstructure models molecular dynamics Monte Carlo motion obtained orientation original parameters particle phase physical plasticity position possible potential predictions problem properties Raabe random recrystallization referred represents rules sampling scale segments simple simulations solution solving space spatial statistical step strain stress structure techniques tensor theory transformation typically usually values variables various vector volume written