Kinetics of Materials - R Balluff S Allen W Carter (Wiley 2005) WW Part 4 ppt

... 2Carslaw and Jaeger s treatise on heat flow is a primary source [3]. 3Estimates of times required for “nearly steady-state’’ conditions are addressed in Section 5.2.6. EXERCISES 125 ... the form of trigonometric series. For diffusion in a cylinder, the trigonometric series is replaced by a sum over Bessel functions. For diffusion with spherical symmetry, trigonomet- ric...

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... follow from statements of the first and second laws of thermodynamics. Onsager s principle supplements these postulates and follows from the statisti- cal theory of reversible fluctuations [5]. ... for anisotropic materials in Chapter 4. Table 2.1 presents corresponding well-known empirical force-flux laws that apply under certain conditions. These are Fourier s law of h...

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... mechanical response of anelastic materials. Scalar forces in the spring and dashpot model become analogs for a more complex stress tensor in materials. To enforce this analogy, we use the terms stress ... nearest-neighbors). 0 Assume a simple ball-and-spring model in which the atoms are replaced by balls of mass m, which are coupled by nearest-neighbor bonds rep- resented by...

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... mean curvature. Such capillary forces are especially influential in fine-scale microstructures containing interfaces with large curvatures where pressure differ- ences can become correspondingly ... boundary with isotropic surface energy yB intersects a free surface with isotropic surface energy ysl a grain-boundary groove forms in order to achieve a capillary-force balance, as illu...

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... the grain center. The pressure due to this curvature therefore induces growth. Grains with fewer than six sides show the opposite behavior, whereas grains with six sides possess flat sides and ... class consists of grains with the same number of sides, N, and grains with the same number of sides grow at the same rate. The (N-6)-rule&apos ;s derivation is simple because there are...

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... ss .s Surface Surface Surface diffusion Nondensifying Atoms diffuse along the surface from larger-curvature surface regions to lower- curvature surface regions. ss.v Surface Surface Vapor ... transport Nondensifying Atoms are transported through the vapor phase from larger-curvature surface regions to lower-curvature surface regions. VF - - Viscous flow Either Atoms are tr...

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... 645 maps for, 40 5 of pipe, 41 2 of pores in grain boundary, 41 4 of powders, 40 1 scaling laws, 40 3 -4 04 systems of simple geometry, 40 3 bundle of parallel wires, 391 two spherical particles, ... order-disorder transformations Allen- Cahn equation, 44 1 antiphase boundaries, 44 2, 44 5 critical wavelengths, 44 4 CsCl (B2) structure, 42 4 diffuse interf...

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... CONTENTS 12.2 Motion of Crystal/Vapor Interfaces 12.2.1 Structure of Crystal/Vapor Surfaces 12.2.2 Crystal Growth from a Supersaturated Vapor 12.2.3 Surfaces as Sinks for Supersaturated Lattice ... Kinetics of Materials is the study of the rates at which various processes occur in materials- knowledge of which is fundamental to materials science and engineer- ing. Ma...

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... distortions in the fixed stress field, so different amounts of work, W, must be done against the stress field during these jumps. The rate of a particular jump in the absence of stress is proportional ... vary linearly with stress and be expressible as a tensor in the very general linear form (3.78) kl where the stress-dependent terms in the sum are relatively small. Simila...

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... diffusion on most surfaces is anisotropic because of their low two-dimensional symmetry. When the surface structure consists of parallel rows of closely spaced atoms, separated by somewhat larger ... GLASSY POLYMERS 239 with p arises from the successive saturation of the lower-energy sites as the concen- tration is increased. This causes a progressive decrease of the activ...

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