Pulse propagation in granular chains: The binary collision approximation

2017 ◽  
Vol 31 (10) ◽  
pp. 1742016 ◽  
Author(s):  
Alexandre Rosas ◽  
Katja Lindenberg
Keyword(s):  
Pulse Propagation ◽  
Binary Collision ◽  
Binary Collision Approximation ◽  
Granular Chains ◽  
Collision Approximation

The binary collision approximation has been successfully applied to the study of pulse propagation in several types of granular chains. Here we present the theory in a generalized and comprehensive way and discuss and review a number of results found in the literature.

scholarly journals Binary collision approximation for multi-decorated granular chains

2013 ◽  
Vol 392 (24) ◽  
pp. 6198-6205 ◽  
Author(s):  
Eduardo André de F. Bragança ◽  
Alexandre Rosas ◽  
Katja Lindenberg
Keyword(s):  
Binary Collision ◽  
Binary Collision Approximation ◽  
Granular Chains ◽  
Collision Approximation

scholarly journals Binary collision approximation for solitary wave in periodic dimer granular chains

2012 ◽  
Vol 61 (4) ◽  
pp. 044501
Author(s):  
Chen Qiong ◽  
Yang Xian-Qing ◽  
Zhao Xin-Yin ◽  
Wang Zhen-Hui ◽  
Zhao Yue-Min
Keyword(s):  
Solitary Wave ◽  
Binary Collision ◽  
Binary Collision Approximation ◽  
Granular Chains ◽  
Collision Approximation ◽  
Dimer Granular Chains

Binary Collision Approximation

2020 ◽  
pp. 595-619 ◽  
Author(s):  
Christophe J. Ortiz ◽  
Laurence Luneville ◽  
David Simeone
Keyword(s):  
Binary Collision ◽  
Binary Collision Approximation ◽  
Collision Approximation

Phase shift of solitary wave in a one-dimensional granular chain

2019 ◽  
Vol 33 (10) ◽  
pp. 1950085
Author(s):  
Xian-Qing Yang ◽  
Yao Yang ◽  
Yang Jiao ◽  
Wei Zhang
Keyword(s):  
Phase Shift ◽  
Solitary Wave ◽  
Numerical Scheme ◽  
Binary Collision ◽  
One Dimensional ◽  
Binary Collision Approximation ◽  
Fifth Order ◽  
The Waves ◽  
Theoretical Results ◽  
Collision Approximation

In this paper, both the fifth-order Runge–Kutta numerical scheme and binary collision approximation are used to study the phase shift. Both numerical and theoretical results are shown that the solitary wave after head-on collision propagates along the chain behind the reference wave in both even and odd numbers of grain chains. It is the well-known feature of the appearance of the phase shift. Those results are in agreement with the experimental results. Furthermore, it is found that the phase shift is not only related to the collision position of the waves, but also to the position where the time is measured. The value of phase shift increases nonmonotonously with increasing the velocity of the opposite propagation of the wave. Binary collision approximation is applied to analyze the phase shift, and it is found that theoretical results agree well with numerical results, especially in the case of phase shift in odd chain.

Extension of Binary-Collision-Approximation-Based Simulation Applicable to Any Structured Target Material

2011 ◽  
Vol 50 (1S1) ◽  
pp. 01AB03 ◽  
Author(s):  
Arimichi Takayama ◽  
Seiki Saito ◽  
Atsushi M. Ito ◽  
Takahiro Kenmotsu ◽  
Hiroaki Nakamura
Keyword(s):  
Target Material ◽  
Binary Collision ◽  
Binary Collision Approximation ◽  
Collision Approximation
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