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Nonuniform motion of an edge dislocation in an anisotropic solid. I. (English) Zbl 0567.73108

The two-dimensional problem of the nonuniform motion of an edge dislocation in an anisotropic solid (regular hyperbolic case) is solved by means of Laplace transforms with inversion according to the Cagniard- de Hoop technique. The solution is also evaluated asymptotically at the saddle points on the Cagniard-de Hoop contour which lies on a multi-sheet Riemann surface, the singular points of which are examined in detail also in connection to the slowness surface. The stress field is square root singular near the wavefront for a motion of constant velocity starting from rest, and 2/3 singular near the cusp-tips. For general nonuniform motion the stress at the wavefront is obtained as well and an example is given for a motion starting with constant acceleration.

MSC:

74A60 Micromechanical theories
74M25 Micromechanics of solids
74E10 Anisotropy in solid mechanics
82D25 Statistical mechanics of crystals
44A10 Laplace transform

Citations:

Zbl 0567.73109
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