Large-Amplitude Elastic Free-Surface Waves: Geometric Nonlinearity and Peakons
نویسندگان
چکیده
An instantaneous sub-surface disturbance in a two-dimensional elastic half-space is considered. The propagates through the material until it reaches free surface, after which out along surface. In conventional theory, free-surface conditions on unknown surface are projected onto flat plane \(y = 0\), so that linear model may be used. Here, however, we present formulation takes explicit account of fact location priori, and show how to solve this more difficult problem numerically. This reveals that, while linearized theory gives an accurate decaying waves travel outwards can under-estimate strength rebound above disturbance. some circumstances, non-linear solution fails finite time, due formation “peakon” at We suggest brittle failure might practice initiated those times locations.
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ژورنال
عنوان ژورنال: Journal of Elasticity
سال: 2021
ISSN: ['0374-3535', '1573-2681']
DOI: https://doi.org/10.1007/s10659-021-09852-6