Phase Transformations in MaterialsG. Kostorz For all kinds of materials, phase transformations show common phenomena and mechanisms, and often turn a material, for example metals, multiphase alloys, ceramics or composites, into its technological useful form. The physics and thermodynamics of a transformation from the solid to liquid state or from one crystal form to another are therefore essential for creating high-performance materials. This handbook covers phase transformations, a general phenomenon central to understanding the behavior of materials and for creating high-performance materials. It will be an essential reference for all materials scientists, physicists and engineers involved in the research and development of new high performance materials. It is the revised and enhanced edition of the renowned book edited by the late P. Haasen in 1990 (Vol. 5, Materials Science and Technology). |
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Page 61
... example , this means that the equilibrium Gibbs energy envelope is always convex , as shown in Fig . 1-6 . If the envelope were concave , then the system would be unstable and would separate into two phases , as shown in Fig . 1-11 ...
... example , this means that the equilibrium Gibbs energy envelope is always convex , as shown in Fig . 1-6 . If the envelope were concave , then the system would be unstable and would separate into two phases , as shown in Fig . 1-11 ...
Page 251
... example , Dünweg and Binder ( 1987 ) ) y1 = = ma - mc + ть - та - " = - mat mat mo ma mu = ( 1 / N ) Σ ( 2c ; − 1 ) Εμ ( 4-7 ) where c , is the concentration of lattice site i and m , the sublattice “ magnetization " in pseudo - spin ...
... example , Dünweg and Binder ( 1987 ) ) y1 = = ma - mc + ть - та - " = - mat mat mo ma mu = ( 1 / N ) Σ ( 2c ; − 1 ) Εμ ( 4-7 ) where c , is the concentration of lattice site i and m , the sublattice “ magnetization " in pseudo - spin ...
Page 257
... example . Suppose a cubic crystal exhibits a transi- tion from a para - electric to a ferroelectric phase , where a spontaneous polarization P = ( P1 , ... , Pn ) , n = 3 , appears . F is then given as follows : F [ P ( x ) ] KB T + Fo ...
... example . Suppose a cubic crystal exhibits a transi- tion from a para - electric to a ferroelectric phase , where a spontaneous polarization P = ( P1 , ... , Pn ) , n = 3 , appears . F is then given as follows : F [ P ( x ) ] KB T + Fo ...
Contents
Contents | 4 |
France D21494 Geesthacht | 5 |
Chemical Potential | 11 |
Copyright | |
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Common terms and phrases
Acta Metall alloys anisotropy atoms behavior binary Binder Cahn Chem chemical chemical potential cluster coarsening composition concentration constant correlation factor critical crystal defect dendritic diffusion coefficient dynamics effects elastic equation equilibrium eutectic example experimental field Figure fluctuations Fratzl function Gibbs energy gradient grain boundary growth rate Helmholtz energy impurity interaction interface interstitial Ising model jump frequency kinetics Landau Langer lattice Lebowitz Lett linear liquid magnetic materials mechanism metastable microstructure mixtures Monte Carlo Murch nucleation order parameter particles phase diagram phase separation phase transitions Phys polymer precipitate quench radius random regime region scaling shown in Fig simulations solid solution solidification spacing spinodal curve spinodal decomposition stability structure sublattices supersaturation temperature theory thermal thermodynamic tion tracer diffusion transformation tricritical point two-phase undercooling vacancy velocity volume fraction Wagner wavelength