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On the uniqueness of plane elastodynamic solutions for running cracks. (English) Zbl 0295.73015


MSC:

74S30 Other numerical methods in solid mechanics (MSC2010)
74R05 Brittle damage
74G30 Uniqueness of solutions of equilibrium problems in solid mechanics
74H25 Uniqueness of solutions of dynamical problems in solid mechanics
Full Text: DOI

References:

[1] Achenbach, J. D., Wave Propagation in Elastic Solids. North-Holland, 1973, p. 80. · Zbl 0268.73005
[2] Wheeler, L. T. and Sternberg, E., Some Theorems in Classical Elastodynamics, Arch. Rat. Mech. Anal. 31 (1968) 51 · Zbl 0187.47003
[3] Friedlander, F. G., Sound Pulses. Cambridge University Press 1958, p. 20
[4] Freund, L. B., Energy Flux into the Tip of an Extending Crack in an Elastic Solid. J. Elasticity 2 (1972) 341 · doi:10.1007/BF00045718
[5] Rice, J. R., Mathematical Analysis in the Mechanics of Fracture, in Fracture, Vol. II, ed. by H. Liebowitz, Academic Press, 1968, p. 191 · Zbl 0214.51802
[6] Freund, L. B., Crack Propagation in an Elastic Solid Subjected to General Loading–IV. Obliquely Incident Stress Pulse. J. Mech. Phys. Solids 22 (1974) 137 · Zbl 0276.73046 · doi:10.1016/0022-5096(74)90021-0
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