Wave propagation in a thinly two layered laminated medium with stress couples under initial stresses

1984 ◽  
Vol 54 (1-2) ◽  
pp. 1-21 ◽  
Author(s):  
P. Pal Roy
Keyword(s):  
Wave Propagation ◽  
Initial Stresses

scholarly journals Wave Dispersion in Multilayered Reinforced Nonlocal Plates under Nonlinearly Varying Initial Stress

Eng ◽  
2020 ◽  
Vol 1 (1) ◽  
pp. 31-47
Author(s):  
Mohammad Reza Farajpour ◽  
Ali Reza Shahidi ◽  
Ali Farajpour
Keyword(s):  
Wave Propagation ◽  
Initial Stress ◽  
Volume Fraction ◽  
Wave Dispersion ◽  
Initial Stresses ◽  
Small Scale ◽  
Dependent Model ◽  
Phase And Group Velocities ◽  
The One ◽  
Group Velocities

This paper deals with the effects of initial stress on wave propagations in small-scale plates with shape memory alloy (SMA) nanoscale wires. The initial stress is exerted on the small-scale plate along both in-plane directions. A scale-dependent model of plates is developed for taking into consideration size influences on the wave propagation. In addition, in order to take into account the effects of SMA nanoscale wires, the one-dimensional Brinson’s model is applied. A set of coupled differential equations is obtained for the non-uniformly prestressed small-scale plate with SMA nanoscale wires. An exact solution is obtained for the phase and group velocities of the prestressed small-scale system. The influences of non-uniformly distributed initial stresses as well as scale and SMA effects on the phase and group velocities are explored and discussed. It is found that initial stresses as well as the orientation and volume fraction of SMA nanoscale wires can be used as a controlling factor for the wave propagation characteristics of small-scale plates.

Wave propagation in layered media under initial stresses

1996 ◽  
Vol 74 (2-3) ◽  
pp. 95-117 ◽  
Author(s):  
A.M. El-Naggar ◽  
M.M. Saliem
Keyword(s):  
Wave Propagation ◽  
Layered Media ◽  
Initial Stresses

On the relations governing rayleigh wave propagation in bodies with initial stresses

1993 ◽  
Vol 29 (11) ◽  
pp. 915-920 ◽  
Author(s):  
F. G. Makhort ◽  
O. I. Gushcha ◽  
A. A. Chernoochenko
Keyword(s):  
Wave Propagation ◽  
Rayleigh Wave ◽  
Initial Stresses

WAVE PROPAGATION IN RECTANGULAR NANOPLATES BASED ON STRAIN GRADIENT THEORY WITH ONE GRADIENT PARAMETER WITH CONSIDERING INITIAL STRESS

2014 ◽  
Vol 28 (03) ◽  
pp. 1450021 ◽  
Author(s):  
MOHAMMAD RAHIM NAMI ◽  
MAZIAR JANGHORBAN
Keyword(s):  
Wave Propagation ◽  
Initial Stress ◽  
Governing Equation ◽  
Gradient Elasticity ◽  
Initial Stresses ◽  
Strain Gradient Theory ◽  
Gradient Theory ◽  
Gradient Parameter ◽  
Gradient Elasticity Theory ◽  
Parameter Wave

In this paper, on the basis of gradient elasticity theory with one gradient parameter, wave propagation in rectangular nanoplates is studied. In the governing equation, the influences of initial stresses and elastic foundation are also considered. An analytical approach is used to solve the governing equation. The effects of different parameters such as gradient parameter on the circular and cut-off frequencies are presented. One can see that the initial stress and gradient parameter play an important role in investigating the wave propagation in nanoplates.

Effect of initial stresses on the wave propagation in arteries

1983 ◽  
Vol 18 (1) ◽  
pp. 53-67 ◽  
Author(s):  
J. C. Misra ◽  
K. Roy Choudhury
Keyword(s):  
Wave Propagation ◽  
Initial Stresses

scholarly journals Propagation of edge waves in a thinly layered laminated medium with stress couples under initial stresses

1988 ◽  
Vol 1 (4) ◽  
pp. 271-286 ◽  
Author(s):  
Lokenath Debnath ◽  
Pijush Pal Roy
Keyword(s):  
Wave Propagation ◽  
Phase Velocity ◽  
Couple Stress ◽  
Frequency Equation ◽  
Initial Stresses ◽  
Wave Number ◽  
Edge Waves ◽  
Approximate Representation ◽  
Couple Stresses ◽  
Special Cases

The propagation of edge waves in a thinly layered laminated medium with stress couples under initial stresses is examined. Based upon an approximate representation of a laminated medium by an equivalent anisotropic continuum with average initial and couple stresses, an explicit form of frequency equation is obtained to derive the phase velocity of edge waves. Edge waves exist under certain conditions. The inclusion of couple stresses increases the velocity of wave propagation. For a specific compression, the presence of couple stresses increases the velocity of wave propagation with the increase of wave number, whereas the reverse is the case when there is no couple stress. Numerical computation is performed with graphical representations. Several special cases are also examined.

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