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Non-steady state solution of a moving crack in an anisotropic solid. (English) Zbl 0782.73063
The non-steady state solution to a moving crack in an anisotropic material is derived using the complex potential theory and a moving coordinate system. An asymptotic analysis is used to obtain recurrence equations for determining the higher order solutions from lower order ones. For a moving crack in an isotropic solid, studied in a previous paper by Y. Xu and L. M. Keer [Int. J. Fracture 58, 325 ff. (1992)], the displacement asymptotic field was separated into two parts, related respectively to two wave speeds, each of which satisfied its recurrence equation. For the case of an anisotropic solid, these two parts are, in general, coupled to each other through the recurrence formulae, and a special method has been developed to solve these equations.
MSC:
74R99 Fracture and damage
74E10 Anisotropy in solid mechanics
74S30 Other numerical methods in solid mechanics (MSC2010)
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