The spreading of nonlinear elastic surface waves |
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| Authors: | N. Kalyanasundaram D. F. Parker E. A. David |
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| Affiliation: | (1) Department of Electrical and Communications Engineering, Regional Engineering College, 620 015 Tiruchirapalli, India;(2) Department of Mathematics, University of Edinburgh, The King's Buildings, EH9 3JZ Edinburgh;(3) Present address: Department of Theoretical Mechanics, Nottingham University, NG7 2RD Nottingham;(4) Marine Technology Centre, University of Strathclyde, G4 OLZ Glasgow;(5) Present address: Department of Theoretical Mechanics, Nottingham University, NG7 2RD Nottingham |
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| Abstract: | A theory for the lateral spreading of a beam of nonlinear surface acoustic waves across the surface of an arbitrary, homogeneous, elastic half-space is developed. The resulting evolution equation generalizes that obtained for uni-directional waves by replacing an ordinary derivative by a diffusion operator of Schrödinger type. The coefficients arising in the evolution equation are related to partial derivatives of the dispersion relation for linearized surface waves on the half space. Details are given for isotropic materials and for two special cases of beams travelling along axes of high elastic symmetry. |
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| Keywords: | 73C50 73D20 |
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