期刊
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA
卷 114, 期 4, 页码 1821-1832出版社
ACOUSTICAL SOC AMER AMER INST PHYSICS
DOI: 10.1121/1.1610460
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Weakly nonlinear, weakly diffracting, two-dimensional shear waves propagating in a prestrained hyperelastic solid are examined. A modification of the classical Khokhlov-Zabolotskaya equation is derived using a systematic perturbation scheme. Both dissipative and nondissipative materials were considered. The principal effect of the prestrain was seen to be the inclusion of a quadratic nonlinearity to the cubic nonlinearity found in the case of zero prestrain. Further new results include the shock jump relations and the prediction of shocks having a speed which is identical to the nonlinear wave speed ahead of or behind the shock. Explicit expressions for the nonlinearity coefficients for the special case of a Blatz-Ko material were provided. (C) 2003 Acoustical Society of America.
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