Wave propagation in a continuum nonlinear phononic material with soft nonlinear elastic layers

2021 ◽  
Vol 150 (4) ◽  
pp. A147-A147
Author(s):  
Elizabeth Smith ◽  
Kathryn Matlack
Keyword(s):  
Wave Propagation ◽  
Elastic Layers ◽  
Nonlinear Elastic

Thermoelastic Small-Amplitude Wave Propagation in Nonlinear Elastic Multilayers

2004 ◽  
Vol 9 (5) ◽  
pp. 555-568 ◽  
Author(s):  
Massimiliano Gei ◽  
Davide Bigoni ◽  
Giulia Franceschni
Keyword(s):  
Wave Propagation ◽  
Small Amplitude ◽  
Amplitude Wave ◽  
Nonlinear Elastic

Wave Motion of a Nonlinear Elastic Bar Subjected to Axial Excitation

2004 ◽  
Author(s):  
Liming Dai ◽  
Qiang Han
Keyword(s):  
Wave Propagation ◽  
Solitary Wave ◽  
Elastic Wave ◽  
Nonlinear Wave ◽  
Wave Motion ◽  
Initial Conditions ◽  
System Parameters ◽  
Elastic Bar ◽  
Nonlinear Elastic ◽  
Nonlinear Elastic Wave

This research intends to investigate the wave motion in a nonlinear elastic bar with large deflection subjected to an axial external exertion. A nonlinear elastic constitutive relation governs the material of the bar. General form of the nonlinear wave equations governing the wave motion in the bar is derived. With a modified complete approximate method, the asymptotic solution of solitary wave is developed for theoretical and numerical analyses of the wave motion. Various initial conditions and system parameters are considered for investigating the shape and propagation of the nonlinear elastic wave. With the governing equation of the wave motion of the bar and the solution developed, the characteristics of the nonlinear elastic wave of the bar are analyzed theoretically and numerically. Properties of the wave propagation and the effects of the system parameters of the bar and the influences of the initial conditions to the characteristics of the wave motion are investigated in details. Based on the theoretical analysis as well as the numerical simulations, it is found that the nonlinearity of the elastic bar may cause solitary wave in the bar. The velocity of the solitary wave propagating in the bar is related to the initial condition of the wave motion. This exhibits an obvious different characteristic between the nonlinear wave and that of the linear wave of an elastic bar. It is also found in the research that the solitary wave is a pulse wave with stable propagation. If the stability of the wave propagation is destroyed, the solitary wave will no longer exist. The results of the present research may provide guidelines for the wave motion analysis of nonlinear elastic solid elements.

scholarly journals A new theoretical paradigm to describe hysteresis, discrete memory and nonlinear elastic wave propagation in rock

1996 ◽  
Vol 3 (2) ◽  
pp. 89-101 ◽  
Author(s):  
K. R. McCall ◽  
R. A. Guyer
Keyword(s):  
Wave Propagation ◽  
Elastic Waves ◽  
Nonlinear Response ◽  
Number Density ◽  
Full Spectrum ◽  
Strong Function ◽  
Starting Point ◽  
Mechanical Elements ◽  
Nonlinear Elastic ◽  
Nonlinear Elastic Wave

Abstract. The velocity of sound in rock is a strong function of pressure, indicating that wave propagation in rocks is very nonlinear. The quasistatic elastic properties of rocks axe hysteretic, possessing discrete memory. In this paper a new theory is developed, placing all of these properties (nonlinearity, hysteresis, and memory) on equal footing. The starting point of the new theory is closer to a microscopic description of a rock than the starting point of the traditional five-constant theory of nonlinear elasticity. However, this starting point (the number density ρ of generic mechanical elements in an abstract space) is deliberately independent of a specific microscopic model. No prejudice is imposed as to the mechanism causing nonlinear response in the microscopic mechanical elements. The new theory (1) relates suitable stress-strain measurements to the number density ρ and (2) uses the number density ρ to find the behaviour of nonlinear elastic waves. Thus the new theory provides for the synthesis of the full spectrum of elastic behaviours of a rock. Early development of the new theory is sketched in this contribution.

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