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. |
From inside the book
Results 1-3 of 86
Page 34
... discrete , and second , the evaluation of derivatives which are defined through a limit process . Consequently , each finite difference technique is based on two main numerical approximations , namely , the discretization of time from a ...
... discrete , and second , the evaluation of derivatives which are defined through a limit process . Consequently , each finite difference technique is based on two main numerical approximations , namely , the discretization of time from a ...
Page 114
... discrete solutions and can often be solved without employing time - consuming numerical methods . This is why they often serve as a physical basis for deriving phenomenological constitutive equations that can be incorporated in advanced ...
... discrete solutions and can often be solved without employing time - consuming numerical methods . This is why they often serve as a physical basis for deriving phenomenological constitutive equations that can be incorporated in advanced ...
Page 154
... discrete one . This can be attained by conducting the simulation in such a way that the stress fluctuations on single segments do not lead to different velocities within a chosen discrete velocity or respectively stress spectrum . The ...
... discrete one . This can be attained by conducting the simulation in such a way that the stress fluctuations on single segments do not lead to different velocities within a chosen discrete velocity or respectively stress spectrum . The ...
Contents
Material Constants | 1 |
Molecular Dynamics | 7 |
GinzburgLandauType Phase Field Kinetic Models | 10 |
Copyright | |
20 other sections not shown
Common terms and phrases
Acta Metall algorithm approach approximate atoms automaton Burgers vector Cahn calculated cell cellular automata Chapter Chen classical coefficients components computational materials science coordinates crystal deformation density derivatives described deterministic differential equations diffusion discrete dislocation dynamics dislocation line dislocation segments elastic electron ensemble equations of motion equilibrium evolution Figure finite difference finite difference method finite element method force function gradient tensor grain boundary grain growth homogeneous Houtte independent variables integral interaction interface isotropic Khachaturyan kinetic Kocks Kubin lattice defects linear macroscopic matrix mechanics microstructure simulation molecular dynamics Monte Carlo methods neighboring nodes nucleation orientation parameters partial differential particle phase space phenomenological Phys physical plastic polycrystal potential Potts model predictions problem Raabe recrystallization referred Rollett Rönnpagel sample scale shear slip systems solution solving spatial spin Srolovitz statistical stochastic strain rate stress structure subgrain Taylor techniques texture theory three-dimensional transformation two-dimensional typically values vector velocity vertex models