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Anti-plane shear fields with discontinuous deformation gradients near the tip of a crack in finite elastostatics. (English) Zbl 0503.73078


MSC:

74R05 Brittle damage
74B20 Nonlinear elasticity

Citations:

Zbl 0432.73088
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Full Text: DOI

References:

[1] J. K., Knowles and Eli, Sternberg, Discontinuous deformation gradients near the tip of a crack in finite anti-plane shear: an example, Journal of Elasticity 10 (1980) 81–110. · Zbl 0432.73088 · doi:10.1007/BF00043136
[2] J. K., Knowles, The finite anti-plane shear field near the tip of a crack for a class of incompressible elastic solids, International Journal of Fracture, 13, (1977) 611. · doi:10.1007/BF00017296
[3] J. K., Knowles and Eli, Sternberg, On the failure of ellipticity and the emergence of discontinuous deformation gradients in plane finite elastostatics, Journal of Elasticity 8 (1978) 329. · Zbl 0422.73038 · doi:10.1007/BF00049187
[4] J. K., Knowles, On the dissipation associated with equilibrium shocks in finite elasticity. Journal of Elasticity 9 (1979) 131. · Zbl 0407.73037 · doi:10.1007/BF00041322
[5] J. R., Rice, Stresses due to a sharp notch in a work-hardening elastic-plastic material loaded by longitudinal shear, Journal of Applied Mechanics 34 (1967) 287.
[6] R., Courant and K. O., Friedrichs, Supersonic flow and shock waves, Interscience, New York, 1948. · Zbl 0041.11302
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