BIEM solution of piezoelectric cracked finite solids under time-harmonic loading

2007 ◽  
Vol 31 (2) ◽  
pp. 152-162 ◽  
Author(s):  
D. Gross ◽  
P. Dineva ◽  
T. Rangelov
Keyword(s):  
Harmonic Loading ◽  
Time Harmonic

In-plane stress analysis of multiple parallel cracks in an orthotropic FGM medium under time-harmonic loading

2021 ◽  
pp. 102936
Author(s):  
Masoud Forsat ◽  
Farayi Musharavati ◽  
Arameh Eyvazian ◽  
Murat Demiral ◽  
Afrasyab Khan ◽  
...  
Keyword(s):  
Stress Analysis ◽  
Plane Stress ◽  
Harmonic Loading ◽  
Parallel Cracks ◽  
Time Harmonic ◽  
Plane Stress Analysis

scholarly journals Analysis of cracked magnetoelectroelastic composites under time-harmonic loading

2010 ◽  
Vol 47 (1) ◽  
pp. 71-80 ◽  
Author(s):  
R. Rojas-Díaz ◽  
F. García-Sánchez ◽  
A. Sáez
Keyword(s):  
Harmonic Loading ◽  
Time Harmonic

scholarly journals Lamb's plane problem in a thermo-visco-elastic micropolar medium with the effect of gravity

1992 ◽  
Vol 15 (4) ◽  
pp. 795-802
Author(s):  
Pravangsu Sekhar Das ◽  
P. R. Sengupta ◽  
Lokenath Debnath
Keyword(s):  
Temperature Field ◽  
Plane Problem ◽  
Harmonic Loading ◽  
Displacement Fields ◽  
Couple Stresses ◽  
Rate Dependent ◽  
Time Harmonic ◽  
Dependent Theory ◽  
Micropolar Medium

A study is made of the Lamb plane problem in an infinite thermo-visco-elastic micropolar medium with the effect of gravity. The visco-elasticity is characterized by the rate dependent theory of micro-visco-elasticity generalizing the classical Kelvin-Voigt theory. The action of time harmonic loading is treated in detail. The solutions for the displacement fields, couple stresses and the temperature field are obtained in general and particular cases.

Surface Waves on a Half-Space Due to a Time-Harmonic Loading on an Inertial Strip Foundation

2013 ◽  
Vol 135 (5) ◽  
Author(s):  
M. Dehestani ◽  
A. Vafai ◽  
A. J. Choobbasti ◽  
N. R. Malidarreh ◽  
F. Szidarovszky
Keyword(s):  
Boundary Conditions ◽  
Surface Waves ◽  
Half Space ◽  
Unit Length ◽  
Inertial Effect ◽  
Harmonic Load ◽  
Inertial Effects ◽  
Harmonic Loading ◽  
Effect Factors ◽  
Time Harmonic

An analytical approach has been applied to obtain the solution of Navier's equation for a homogeneous, isotropic half-space under an inertial foundation subjected to a time-harmonic loading. Displacement potentials were used to change the Navier's equation to a system of wave-type equations. Calculus of variation was employed to demonstrate the contribution of the foundation's inertial effects as boundary conditions. Use of the Fourier transformation method for the system of Poisson-type equations and applying the boundary conditions yielded the transformed surface displacement field. Direct contour integration has been employed to achieve the surface waves. In order to clarify the foundation's inertial effects, related coefficients were defined and a parametric study was conducted. Final results revealed that increasing the mass per unit length of the foundation or the frequency of the applied harmonic load intensifies the inertial effect factors. On the other hand, an increase in strip width or Poisson's ratio would imply reduction in the inertial effect factors.

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