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Asymptotic crack tip fields for dynamic fracture of linear strain- hardening solids. (English) Zbl 0676.73063

Summary: Asymptotic crack tip fields, for dynamic crack propagation in an elastic- plastic material, have been calculated. The material is characterized by \(J_ 2\) flow theory with linear-strain hardening. The possibility of plastic reloading on the crack flank is taken into account. Numerical results for the strength of the crack tip singularity, the angular positions of elastic unloading and possible plastic reloading regions, and the angular variation of the stress and velocity fields, are presented as functions of the crack tip speed and the ratio between tangent modulus and elastic modulus. Calculations have been performed for crack tip speeds below a certain limit velocity which depends on the tangent modulus and the loading conditions. The different loading modes which have been studied are modes I and II (plane strain and plane stress) and mode III (antiplane strain).

MSC:

74R05 Brittle damage
74C99 Plastic materials, materials of stress-rate and internal-variable type
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