Markenscoff, Xanthippi; Ni, Luqun Nonuniform motion of an edge dislocation in an anisotropic solid. I. (English) Zbl 0567.73108 Q. Appl. Math. 41, 475-494 (1984). 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. Cited in 2 ReviewsCited in 5 Documents MSC: 74A60 Micromechanical theories 74M25 Micromechanics of solids 74E10 Anisotropy in solid mechanics 82D25 Statistical mechanics of crystals 44A10 Laplace transform Keywords:solution evaluated asymptotically; two-dimensional problem; nonuniform motion; edge dislocation; regular hyperbolic case; Laplace transforms; Cagniard-de Hoop technique; saddle points on the Cagniard-de Hoop contour; multi-sheet Riemann surface; singular points; slowness surface; general nonuniform motion; stress at the wavefront; motion starting with constant acceleration Citations:Zbl 0567.73109 PDFBibTeX XMLCite \textit{X. Markenscoff} and \textit{L. Ni}, Q. Appl. Math. 41, 475--494 (1984; Zbl 0567.73108) Full Text: DOI