Wave propagation analysis in functionally graded (FG) nanoplates under in-plane magnetic field based on nonlocal strain gradient theory and four variable refined plate theory

2017 ◽  
Vol 25 (12) ◽  
pp. 1047-1057 ◽  
Author(s):  
Behrouz Karami ◽  
Davood Shahsavari ◽  
Maziar Janghorban
Keyword(s):  
Magnetic Field ◽  
Wave Propagation ◽  
Strain Gradient ◽  
Plate Theory ◽  
Functionally Graded ◽  
Strain Gradient Theory ◽  
Gradient Theory ◽  
Refined Plate Theory ◽  
Propagation Analysis ◽  
Nonlocal Strain Gradient

Effect of magnetic field on the wave propagation in nanoplates based on strain gradient theory with one parameter and two-variable refined plate theory

2016 ◽  
Vol 30 (36) ◽  
pp. 1650421 ◽  
Author(s):  
Behrouz Karami ◽  
Maziar Janghorban
Keyword(s):  
Magnetic Field ◽  
Wave Propagation ◽  
Strain Gradient ◽  
Plate Theory ◽  
Strain Gradient Theory ◽  
Gradient Theory ◽  
Governing Equations ◽  
Refined Plate Theory ◽  
Bulk Waves ◽  
First Time

In this paper, the effect of magnetic field on the wave propagation in rectangular nanoplates based on two-variable refined plate theory is studied. In order to capture the size effects, the strain gradient theory with one length scale parameter is used. From our knowledge, it is the first time that two-variable refined plate theory is adopted for studying bulk waves in nanoplates. This type of refined plate theory has only two unknowns which reduces the complexity of the governing equations. To show the accuracy of this work, several comparisons are made with available results in open literature.

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