Titlebook: IUTAM Symposium on Scaling in Solid Mechanics; Proceedings of the I F.M. Borodich (borodichfm@cardiff.ac.uk) Conference proceedings 2009 Sp

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Scaling in Damage Accumulation, of propagating microcracks whose length is significantly larger than the grain size leads to initiation of the accelerated stage of damage development which is described by a power–like cumulative size – frequency distribution of defects. The slope of this distribution decreases with load and fract

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L. Fradkin,V. Mishakin,N. Alford,A Dobroskok,A. Linkov,G. Mishuris

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Universal Effective Toughness Distribution for Heterogeneous Brittle Materials,osed that it has a universal shape characterized by only two parameters, namely, an asymptotic toughness, and a size-dependent width. Predictions of this theoretical result expressed in terms of crack size distribution are tested against experimental indentation data.

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Internal Variables and Scale Separation in Dynamics of Microstructured Solids,ogether. However, the intrinsic interaction force requires a kinetic relation for internal variables. This kinetic relation depends on representation of the internal variable as “internal variable of state” or “internal degree of freedom”.