弹性固体中的非线性波

Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics-Physics-Astronomy Pub Date : 2000-02-01 DOI:10.1016/S1287-4620(00)00109-5

Alexei V. Porubov , Manuel G. Velarde

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引用次数: 4

摘要

我们在极限条件B ~ O(R/L)下描述了应变波在固体中的非线性色散耗散演化，其中B为波的特征振幅，L为波长，R为固体棒的半径。我们还给出了永久形式的激波或孤立波传播的耗散和色散条件。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On nonlinear waves in an elastic solid

We describe the nonlinear dispersive dissipative evolution of strain waves in a solid in the limiting condition B∼O(R/L), where B is the characteristic amplitude of the wave, L its wavelength and R the radius of a solid rod. We also provide conditions on dissipation and dispersion for the propagation of either shocks or solitary waves of permanent form.

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Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics-Physics-Astronomy

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