Size-dependent transverse vibration of viscoelastic nanoplates including high-order surface stress effect

2018 ◽  
Vol 545 ◽  
pp. 94-98 ◽  
Author(s):  
M. Pang ◽  
Z.L. Li ◽  
Y.Q. Zhang
Keyword(s):  
Transverse Vibration ◽  
Surface Stress ◽  
High Order ◽  
Stress Effect ◽  
Size Dependent ◽  
Surface Stress Effect ◽  
Order Surface

Surface Stress Effect on the Pull-In Instability of Hydrostatically and Electrostatically Actuated Rectangular Nanoplates With Various Edge Supports

2012 ◽  
Vol 134 (4) ◽  
Author(s):  
R. Ansari ◽  
R. Gholami ◽  
M. Faghih Shojaei ◽  
V. Mohammadi ◽  
M. A. Darabi
Keyword(s):  
Boundary Conditions ◽  
Governing Equation ◽  
Surface Stress ◽  
Plate Thickness ◽  
Stress Effect ◽  
Residual Surface Stress ◽  
Electrostatically Actuated ◽  
Stress Effects ◽  
Size Dependent ◽  
Surface Stress Effect

This paper is aimed to investigate the size-dependent pull-in behavior of hydrostatically and electrostatically actuated rectangular nanoplates including surface stress effects based on a modified continuum model. To this end, based on the Gurtin–Murdoch theory and Hamilton's principle, the governing equation and corresponding boundary conditions of an actuated nanoplate are derived; the step-by-step linearization scheme and the differential quadrature (GDQ) method are used to discretize the governing equation and associated boundary conditions. The effects of the thickness of the nanoplate, surface elastic modulus and residual surface stress on the pull-in instability of the nanoplate are investigated. Plates made of two different materials including aluminum (Al) and silicon (Si) are selected to explain the variation of the pull-in voltage and pressure with respect to plate thickness.

Surface Stress Effect on the Vibrational Response of Circular Nanoplates With Various Edge Supports

2013 ◽  
Vol 80 (2) ◽  
Author(s):  
R. Ansari ◽  
R. Gholami ◽  
M. Faghih Shojaei ◽  
V. Mohammadi ◽  
S. Sahmani
Keyword(s):  
Differential Equation ◽  
Boundary Conditions ◽  
Surface Stress ◽  
High Surface ◽  
Continuum Theory ◽  
Volume Ratio ◽  
Stress Effect ◽  
Size Dependent ◽  
Surface Stress Effect ◽  
Generalized Differential

The classical continuum theory cannot be directly used to describe the behavior of nanostructures because of their size-dependent attribute. Surface stress effect is one of the most important size dependencies of structures at this submicron size, which is due to the high surface to volume ratio of nanoscale domain. In the present study, the nonclassical governing differential equation together with corresponding boundary conditions are derived using Hamilton's principle, into which the surface energies are incorporated through the Gurtin-Murdoch elasticity theory. The model developed herein contains intrinsic length scales to take the size effect into account and is used to analyze the free vibration response of circular nanoplates including surface stress effect. The generalized differential quadrature (GDQ) method is employed to discretize the governing size-dependent differential equation along with simply supported and clamped boundary conditions. The classical and nonclassical frequencies of circular nanoplates with various edge supports and thicknesses are calculated and are compared to each other. It is found that the influence of surface stress can be different for various circumferential mode numbers, boundary conditions, plate thicknesses, and surface elastic constants.

Surface stress effect in mechanics of nanostructured materials

2011 ◽  
Vol 24 (1) ◽  
pp. 52-82 ◽  
Author(s):  
Jianxiang Wang ◽  
Zhuping Huang ◽  
Huiling Duan ◽  
Shouwen Yu ◽  
Xiqiao Feng ◽  
...  
Keyword(s):  
Nanostructured Materials ◽  
Surface Stress ◽  
Stress Effect ◽  
Surface Stress Effect
Sign in / Sign up

Export Citation Format

Share Document