Continuum Scale Simulation of Engineering Materials: Fundamentals - Microstructures - Process ApplicationsDierk Raabe This book fills a gap by presenting our current knowledge and understanding of continuum-based concepts behind computational methods used for microstructure and process simulation of engineering materials above the atomic scale. The volume provides an excellent overview on the different methods, comparing the different methods in terms of their respective particular weaknesses and advantages. This trains readers to identify appropriate approaches to the new challenges that emerge every day in this exciting domain. Divided into three main parts, the first is a basic overview covering fundamental key methods in the field of continuum scale materials simulation. The second one then goes on to look at applications of these methods to the prediction of microstructures, dealing with explicit simulation examples, while the third part discusses example applications in the field of process simulation. By presenting a spectrum of different computational approaches to materials, the book aims to initiate the development of corresponding virtual laboratories in the industry in which these methods are exploited. As such, it addresses graduates and undergraduates, lecturers, materials scientists and engineers, physicists, biologists, chemists, mathematicians, and mechanical engineers. |
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Page 204
... force Fobstacle . • Image force Fimage • Osmotic force Fosmotic resulting from non - conservative motion of dislocation ( climb ) and results in the production of intrinsic point defects . • Thermal force Fthermal arising from thermal ...
... force Fobstacle . • Image force Fimage • Osmotic force Fosmotic resulting from non - conservative motion of dislocation ( climb ) and results in the production of intrinsic point defects . • Thermal force Fthermal arising from thermal ...
Page 209
... force Fosmotic is given in Raabe ( 1998 ) and its inclusion in the total force is straightforward since it is a deterministic force . However , the treatment of the thermal force Fthermal is not trivial since this force is stochastic in ...
... force Fosmotic is given in Raabe ( 1998 ) and its inclusion in the total force is straightforward since it is a deterministic force . However , the treatment of the thermal force Fthermal is not trivial since this force is stochastic in ...
Page 210
... force interaction is computed over a many points ( Gauss points ) over the segment length . In this case , the self - force of segment s would be evaluated first . Then the force contribution from other dislocations and defects is ...
... force interaction is computed over a many points ( Gauss points ) over the segment length . In this case , the self - force of segment s would be evaluated first . Then the force contribution from other dislocations and defects is ...
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Acta algorithm alloys aluminum anisotropy applications approach austenite automaton Barlat behavior Boltzmann boundary conditions Burgers vector calculated cell cellular automata cementite Chen coefficients components composition computational configuration continuum crack crystal plasticity depends described Dierk Raabe diffusion discrete dislocation density distribution domain driving force effect elastic Equation equilibrium experimental field finite element flow stress fluid fracture free energy function gradient grain boundary grain growth hardening homogeneous initial interaction interface Ising model kinetics lattice gas LENP macroscopic Materials Science matrix mechanical metals method microstructure microstructure evolution mobility Monte Carlo Monte Carlo method neighbors nucleation orientation particle phase transformations phase-field model physical plane plastic deformation polycrystal precipitation predicted properties Raabe recrystallization rolling rotation scale shear shown in Figure simulation single crystal slip systems solid solidification solution spin stored energy strain rate structure subgrain temperature tensor texture theory thermodynamic tion twin variables vector velocity volume fraction yield surface