Abstract
The present chapter treats the theory of some basic mechanisms of microcrack nucleation in polycrystalline and amorphous materials. The following methods are used to achieve the results:
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Methods of the theory of functions of a complex variable demonstrating the refined work with various singularities of the physical field on the boundary, at infinity, and inside the domain, and the techniques of the Riemann boundary value problem (Section 3.1);
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Mellin transform method and Wiener — Hopf vs. Noble — Jones techniques of solving mixed boundary value problems (Section 3.2);
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The work with complicated singularities and driving forces, and thermodynamics methods (Section 3.3).
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Cherepanov, G.P. (1997). Crack Nucleation. In: Methods of Fracture Mechanics: Solid Matter Physics. Solid Mechanics and Its Applications, vol 51. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2262-9_3
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DOI: https://doi.org/10.1007/978-94-017-2262-9_3
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