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On the higher order asymptotic analysis of a non-uniformly propagating dynamic crack along an arbitrary path. (English) Zbl 0839.73051
A representation of the crack tip fields in the form of an expansion about the crack tip is obtained in powers of radial distance from the tip. The higher order coefficients of this expansion are found to depend on the time derivative of crack tip speed, the time derivatives of the two stress intensity factors as well as on the instantaneous value of the local curvature of the crack path. It is also demonstrated that even if cracks follow a curved path dictated by the criterion \(K^d_{II}=0\), the stress field may still retain higher order asymmetric components related to non-zero local curvature of the crack path.

74R99 Fracture and damage
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