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.
Similar content being viewed by others
References
Eshelby, J.D., Edge dislocations in anisotropic materials,Phil. Mag.,40 (1949), 903.
Bilby, B.A., A.H. Cottrell and H. Swinden, The spread of plastic yield from a notch,Proc. Roy. Soc.,A272 (1963), 304.
Leibfried, G. and H.D. Dietze, Zur theorie der schraubenversetzung,Z. Physik,126 (1949), 790.
Eshelby, J.D., Dislocations in visco-elastic materials,Phil. Mag.,6 (1961), 953.
Radok, J.R.M., On the solution of problems of dynamic plane elasticity,Quarterly Appl. Math.,14 (1956), 289.
Weertman, J., Stress and displacement fields and edge dislocation that climbs with a uniform velocity,J. Appl. Phys.,38 (1976), 2612.
Yoffe, E.Y., The moving Griffith crack,Phil. Mag.,42 (1951), 739.
Fan, T.Y., Moving defect with irreversible deformation zone and criterion of nonlinear dynamic fracture of solids,Chinese Phys. Letter, 9 (1986), 405.
Eshelby, J.D., Uniformly moving dislocations,Proc. Phys. Soc.,A62 (1949), 307.
Dugdale, D.S., Yielding of steel sheets containing slits,J. Mech. Phys. Solids,8 (1960), 100.
Lardner, R.W.,Mathematical Theory of Dislocation and Fracture, University of Toronto Press (1974), 72.
Weertman, J.,Response of Metals to High Velocity Deformation, P.G. Shewean and V.F. Zackay Press, Cambridge (1959).
Author information
Authors and Affiliations
Additional information
Communicated by Hsuch Dah-wei
Rights and permissions
About this article
Cite this article
Zhi-su, Z. Dynamic dislocations solution to elastoplastic moving cracks. Appl Math Mech 9, 359–367 (1988). https://doi.org/10.1007/BF02456116
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02456116