Universal relations for pressure-shear waves in nonlinear elastic solids

Scheidler, Mike
April 2000
AIP Conference Proceedings;2000, Vol. 505 Issue 1, p181
Academic Journal
The centered shock waves or simple waves generated by oblique plate impact of nonlinear elastic solids are studied. Attention is restricted to materials for which the fast wave is purely longitudinal. This includes isotropic materials and appropriately aligned orthotropic or transversely isotropic materials. The emphasis is on the derivation of exact or approximate relations between stress, strain, particle velocities, and wave speeds which are universal in the sense that they do not involve material constants or material functions. For isotropic materials, universal relations for the difference between the longitudinal and lateral stresses are derived.


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