A fundamentally new approach to the rupture-fracture problem is presented. Because of the particular type of dynamic phenomena being investigated, the formulation is given in terms of the conservation equations of continuum mechanics instead of in the usual elasticity-plasticity relations. The introduction of a similarity co-ordinate permits a complete closed-form solution to a particular problem of practical interest subject to certain compatibility conditions which depend upon the specific properties of the material under consideration.
Rupture Instability of Plane Membranes and Solids
S. F. Borg
Stevens Institute of Technology, Hoboken, N. J.
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Borg, S. F. (September 1, 1960). "Rupture Instability of Plane Membranes and Solids." ASME. J. Appl. Mech. September 1960; 27(3): 501–504. https://doi.org/10.1115/1.3644031
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