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The stress field near the tip of an accelerating crack. (English) Zbl 0778.73054
Summary: A summary is presented of the solution for the stress field around an accelerating crack in an infinite elastic body. The elastic medium can be orthotropic, with the crack lying in a plane of symmetry so that loadings corresponding to pure modes I, II and III can be considered separately. Expressions are deduced for the asymptotic form of the tractions on the plane of the crack, close to its edge. In the case that the body is anisotropic, the stress intensity factors, corresponding to the dominant terms of order \(r^{-1/2}\), have been known for many years; here, in addition to allowing the medium to have orthotropic symmetry asymptotic series for the tractions are derived, explicitly up to terms of order \(r^{3/2}\).

MSC:
74R99 Fracture and damage
74G70 Stress concentrations, singularities in solid mechanics
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