scholarly journals Highly nonlinear solitary waves in periodic dimer granular chains

2008 ◽  
Vol 77 (1) ◽  
Author(s):  
Mason A. Porter ◽  
Chiara Daraio ◽  
Eric B. Herbold ◽  
Ivan Szelengowicz ◽  
P. G. Kevrekidis
2011 ◽  
Vol 21 (1) ◽  
pp. 012002 ◽  
Author(s):  
Jinkyu Yang ◽  
Claudio Silvestro ◽  
Sophia N Sangiorgio ◽  
Sean L Borkowski ◽  
Edward Ebramzadeh ◽  
...  

2011 ◽  
Vol 82 (3) ◽  
pp. 034902 ◽  
Author(s):  
Xianglei Ni ◽  
Piervincenzo Rizzo ◽  
Chiara Daraio

Author(s):  
Wu Bin ◽  
Li Mingzhi ◽  
Liu Xiucheng ◽  
Wang Heying ◽  
He Cunfu ◽  
...  

Abstract In this paper, a nondestructive evaluation technique based on highly nonlinear solitary waves (HNSWs) is proposed to monitor the curing process of adhesive for composite/metal bonded structure. HNSWs are mechanical waves with high energy intensity and non-distortive nature which can form and propagate in a nonlinear system, such as a one-dimensional granular chain. In the present study, a finite element model of the one-dimensional granular chain is established with the commercial software Abaqus, to study the reflection behavior of HNSWs at the interface between the particle at the end of chain and the sample. The simulation results show that the time of flight (TOF) of the primary reflected solitary wave decreases with the stiffness of the sample increases, and the amplitude ratio (AR) between the primary reflected solitary wave and the incident solitary wave increases. An HNSWs transducer based on the one-dimensional granular chain is designed and fabricated. The relationship between the characteristic parameters of the primary reflected solitary wave (TOF and AR) and the curing time of adhesive for a composite/metal bonded structure is experimentally investigated. The experiment results suggest that the TOF decreases and the AR increases as the epoxy cures. The experimental results are in good agreement with the simulation results. This study provides a new characterization method for monitoring the curing process of adhesive for composite/metal bonded structure.


2021 ◽  
Vol 79 (10) ◽  
pp. 991-1004
Author(s):  
Hoda Jalali ◽  
Yuhui Zeng ◽  
Piervincenzo Rizzo ◽  
Andrew Bunger

This paper delves into the use of highly nonlinear solitary waves for the nondestructive identification and characterization of anisotropy in rocks. The nondestructive testing approach proposed expands upon a technique developed recently by some of the authors for the nondestructive characterization of engineering materials and structures. The technique uses the characteristics of solitary waves propagating in a periodic array of spherical particles in contact with the rock to be characterized. The features of the waves that bounce off the chain rock interface are used to infer some properties of the geomaterial under consideration. Numerical models and experimental validation were conducted to explore the feasibility of the method and to standardize the methodology for future widespread applications.


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