Dynamic Dislocations Solution to Elastoplastic Moving Cracks

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Zhao Zhi-su. Dynamic Dislocations Solution to Elastoplastic Moving Cracks[J]. Applied Mathematics and Mechanics, 1988, 9(4): 327-334.

Citation:

Zhao Zhi-su. Dynamic Dislocations Solution to Elastoplastic Moving Cracks[J]. Applied Mathematics and Mechanics, 1988, 9(4): 327-334.

Citation:

Zhao Zhi-su. Dynamic Dislocations Solution to Elastoplastic Moving Cracks[J]. Applied Mathematics and Mechanics, 1988, 9(4): 327-334.

Abstract

In the range of micro-cosmic, an analogy between linear dislocation arrays and moving cracks is drawn, then elastoplastic moving crack problems are derived by superposition of distribution of dislocations. Various dynamical crack-opened-displacements are derived, which gives an elastoplastic stability criterion of moving cracks. In this paper, modes Ⅰ,Ⅱ,Ⅲ moving crack problems are discussed respectively.

[1]	Eshelby,J.D.,Edge dislocations in anisotropic materials,Phil.Mag.,40 (1949),903.
[2]	Bilby,B.A.,A.H.Cottrell and H.Swinden,The spread of plastic yield from a notch,Proc.Roy.Soc.,A272 (1963),304.
[3]	Leibfried,G.and H.D.Dietze,Zur theorie der schraubenversetzung,Z.Physik,126 (1949),790.
[4]	Eshelby,J.D.,Dislocations in visco-elastic materials,Phil.Mag.,6 (1961),953.
[5]	Radok,J.R.M.,On the solution of problems of dynamic plane elasticity,Quarterly Appl.Math.,14 (1956),289.
[6]	Weertman,J.,Stress and displacement fields and edge dislocation that climbs with a uniform velocity,J.Appl.Phys.,38 (1976),2612.
[7]	Yoffe,E.Y.,The moving Griffith crack,Phil.Mag.,42 (1951),739.
[8]	Fan,T.Y.,Moving defect with irreversible deformation zone and criterion of nonlinear dynamic fracture of solids,Chinese Phys.Letter,9 (1986),405.
[9]	Eshelby,J.D.,Uniformly moving dislocations,Proc.Phys.Soc.,A62 (1949),307.
[10]	Dugdale,p.S.,Yielding of steel sheets containing slits,J.Mech.Phys.Solids,8 (1960),100.
[11]	Lardner,R.W.,Mathematical Theory of Dislocation and Fracture,University of Toronto Press (1974),72.
[12]	Weertman,J.,Response of Metals to High Velocity Deformation,P.G.Shewean and V.F.Zackay Press,Cambrige (1959).