The stress field near the front of an arbitrarily shaped crack in a three-dimensional elastic body. (English) Zbl 0777.73054

The title problem is considered with emphasis on the first three terms of the stress expansion proportional to \(r^{-1/2}\), \(r^ 0\), and \(r^{1/2}\), respectively, where \(r\) denotes the distance from the crack front. A plane crack, with a straight front and the stresses independent of the distance along the front, is studied in detail. The general case is then discussed using a system of curvilinear coordinates.


74R99 Fracture and damage
74B10 Linear elasticity with initial stresses
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