[논문]Solitary waves in a peridynamic elastic solid

Silling, S.A.

doi:10.1016/j.jmps.2016.06.001

Solitary waves in a peridynamic elastic solid 원문보기

Journal of the mechanics and physics of solids, v.96, 2016년, pp.121 - 132

Silling, S.A.

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Abstract The propagation of large amplitude nonlinear waves in a peridynamic solid is analyzed. With an elastic material model that hardens in compression, sufficiently large wave pulses propagate as solitary waves whose velocity can far exceed the linear wave speed. In spite of their large velocity and amplitude, these waves leave the material they pass through with no net change in velocity and stress. They are nondissipative and nondispersive, and they travel unchanged over large distances. An approximate solution for solitary waves is derived that reproduces the main features of these waves observed in computational simulations. It is demonstrated by numerical studies that the waves interact only weakly with each other when they collide. Wavetrains composed of many non-interacting solitary waves are found to form and propagate under certain boundary and initial conditions. Highlights Nonlinear peridynamic media can sustain large-amplitude pulses similar to solitons. The pulse width depends only on the peridynamic horizon. The waves interact weakly when they intersect. An approximate solution method converts the peridynamic integral equation to a third order nonlinear ODE. The approximate analysis reproduces the key features of computational results using a standard numerical method.

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Solitary waves in a peridynamic elastic solid 원문보기

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