Crystals, Defects and Microstructures: Modeling across Scales

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A geometrical parameter for the formation of disordered solid solutions in multi-component alloys (2014, unknown): “[22]: Estrain 1⁄4 (4pEdr(2)r)/(1 þ n), where, E is the Young’s modulus of the matrix, ‘r’ is the radius of the solvent atom and ‘n’ is the Poisson’s ratio.”
The Oxford Handbook of Philosophy of Physics (2013, background): “It may do to end with an nice statement (partially cited earlier) from Rob Phillips's excellent book Crystals, Defects, and Microstructures (2001) expressing this point of view.”
Historical review of internal state variable theory for inelasticity (2010, methodology): “Reviews have been given on these methods by Phillips (2001), Liu et al. (2006b), Fish (2006), de Pablo and Curtin (2007).”
Unified nano-mechanics based probabilistic theory of quasibrittle and brittle structures: I. Strength, static crack growth, lifetime and scaling (2011, methodology): “According to the transition rate theory (Kaxiras, 2003; Philips, 2001), the first-passage time for each state transition (for the limited case of a large free-energy barrier, Q0bkTbDQ), which gives the net frequency of the forward crack front jumps, is given by Kramer’s formula (Risken, 1989): f1 ¼…”