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Short-pulse dynamics in strongly nonlinear dissipative granular chains.

Alexandre Rosas¹, Aldo H Romero, Vitali F Nesterenko

¹Departamento de Física, Universidade Federal da Paraíba, João Pessoa, Caixa Postal 5008-CEP 58.059-970, Paraíba, Brazil.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|December 31, 2008

Summary

This summary is machine-generated.

Energy decay in nonlinear granular chains shows complex wave behavior. A pulse splits into a short-lived solitary wave and a long-lived dissipative shock structure, depending on damping.

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Area of Science:

Physics
Nonlinear Dynamics
Materials Science

Background:

Granular chains exhibit complex wave propagation phenomena.
Understanding energy dissipation is crucial for predicting material behavior under stress.

Purpose of the Study:

Investigate energy decay properties of a pulse in a nonlinear granular chain.
Characterize the distinct behaviors of wave disturbances under varying damping conditions.

Main Methods:

Simulated pulse propagation in a nonlinear granular chain.
Analyzed energy decay using damping proportional to relative grain velocity.
Explored effects of viscosity and initial configurations.

Main Results:

Observed a two-part wave disturbance with different dissipation timescales.
Identified an attenuating solitary wave (shorter lifetime) influenced by discreteness and nonlinearity.
Characterized a long-lived, purely dissipative shocklike structure existing only with damping.

Conclusions:

Nonlinear granular chains exhibit complex energy decay mechanisms.
Dissipation leads to the formation of distinct solitary and shocklike wave structures.
The interplay of nonlinearity, discreteness, and damping governs wave behavior and energy dissipation.