Size-dependent thermoelastic analysis of a functionally graded nanoshell

In this paper, two-dimensional thermoelastic analysis of a functionally graded nanoshell is presented based on nonlocal elasticity theory. To formulate this problem, first-order shear deformation theory (FSDT) is used for axial and radial deformations simultaneously. Material properties are assumed to be mixture of ceramic and metal based on a power law distribution. Principle of virtual work is used for derivation of the governing equations. The analytical approach is presented based on eigenvalue and eigenvector method to derive four unknown functions including radial and axial displacements and rotations along the longitudinal direction. In addition, the influence of nonlocal and in-homogeneous index parameter is studied on the responses of the system. Two-dimensional results are presented along the radial and longitudinal directions.

[1]  A. Loghman,et al.  Nonsymmetric thermomechanical analysis of a functionally graded cylinder subjected to mechanical, thermal, and magnetic loads , 2017 .

[2]  A. Zenkour,et al.  Nonlocal transient electrothermomechanical vibration and bending analysis of a functionally graded piezoelectric single-layered nanosheet rest on visco-Pasternak foundation , 2017 .

[3]  Mohammed Sid Ahmed Houari,et al.  A nonlocal quasi-3D theory for bending and free flexural vibration behaviors of functionally graded nanobeams , 2017 .

[4]  S. R. Mahmoud,et al.  Hygro-thermo-mechanical bending of S-FGM plates resting on variable elastic foundations using a four-variable trigonometric plate theory , 2016 .

[5]  A. Loghman,et al.  The effect of axially variable thermal and mechanical loads on the 2D thermoelastic response of FG cylindrical shell , 2016 .

[6]  M. Arefi,et al.  Free vibration analysis of functionally graded laminated sandwich cylindrical shells integrated with piezoelectric layer , 2016 .

[7]  R. Ansari,et al.  Vibration and buckling of first-order shear deformable circular cylindrical micro-/nano-shells based on Mindlin's strain gradient elasticity theory , 2016 .

[8]  M. Arefi.  Analysis of wave in a functionally graded magneto-electro-elastic nano-rod using nonlocal elasticity model subjected to electric and magnetic potentials , 2016 .

[9]  S. Hosseini,et al.  Frequency analysis of curved nano-sandwich structure based on a nonlocal model , 2016 .

[10]  M. Arefi,et al.  Two-dimensional thermoelastic analysis of FG cylindrical shell resting on the Pasternak foundation subjected to mechanical and thermal loads based on FSDT formulation , 2016 .

[11]  Mohammed Sid Ahmed Houari,et al.  Size-dependent mechanical behavior of functionally graded trigonometric shear deformable nanobeams including neutral surface position concept , 2016 .

[12]  Abdelouahed Tounsi,et al.  A novel five-variable refined plate theory for vibration analysis of functionally graded sandwich plates , 2016 .

[13]  M. Arefi.  Surface effect and non-local elasticity in wave propagation of functionally graded piezoelectric nano-rod excited to applied voltage , 2016 .

[14]  A. Tounsi,et al.  A nonlocal zeroth-order shear deformation theory for free vibration of functionally graded nanoscale plates resting on elastic foundation , 2016 .

[15]  Abdelouahed Tounsi,et al.  Bending and free vibration analysis of functionally graded plates using a simple shear deformation theory and the concept the neutral surface position , 2016 .

[16]  Y. Beni,et al.  A shear deformable cylindrical shell model based on couple stress theory , 2015 .

[17]  Abdelouahed Tounsi,et al.  Wave propagation in functionally graded plates with porosities using various higher-order shear deformation plate theories , 2015 .

[18]  Abdelouahed Tounsi,et al.  A new simple shear and normal deformations theory for functionally graded beams , 2015, Steel and Composite Structures.

[19]  Y. Beni,et al.  Free vibration analysis of size-dependent shear deformable functionally graded cylindrical shell on the basis of modified couple stress theory , 2015 .

[20]  K. M. Liew,et al.  Mechanical analysis of functionally graded carbon nanotube reinforced composites: A review , 2015 .

[21]  Bo Zhang,et al.  Free vibration analysis of four-unknown shear deformable functionally graded cylindrical microshells based on the strain gradient elasticity theory , 2015 .

[22]  Y. Beni,et al.  Size-dependent vibration of fluid-conveying double-walled carbon nanotubes using couple stress shell theory , 2014 .

[23]  O. Anwar Bég,et al.  Bending analysis of FGM plates under hygro-thermo-mechanical loading using a four variable refined plate theory , 2014 .

[24]  Abdelouahed Tounsi,et al.  New Quasi-3D Hyperbolic Shear Deformation Theory for the Static and Free Vibration Analysis of Functionally Graded Plates , 2014 .

[25]  G. Rahimi,et al.  Application of shear deformation theory for two dimensional electro-elastic analysis of a FGP cylinder , 2014 .

[26]  Ö. Civalek,et al.  Torsional and longitudinal frequency and wave response of microtubules based on the nonlocal continuum and nonlocal discrete models , 2013 .

[27]  G. Rahimi,et al.  Thermo elastic analysis of a functionally graded cylinder under internal pressure using first order shear deformation theory , 2013 .

[28]  M. Arefi,et al.  ELECTRO ELASTIC ANALYSIS OF A PRESSURIZED THICK-WALLED FUNCTIONALLY GRADED PIEZOELECTRIC CYLINDER USING THE FIRST ORDER SHEAR DEFORMATION THEORY AND ENERGY METHOD , 2012 .

[29]  G. Rahimi,et al.  Studying the nonlinear behavior of the functionally graded annular plates with piezoelectric layers as a sensor and actuator under normal pressure , 2012 .

[30]  G. Rahimi,et al.  COMPREHENSIVE THERMOELASTIC ANALYSIS OF A FUNCTIONALLY GRADED CYLINDER WITH DIFFERENT BOUNDARY CONDITIONS UNDER INTERNAL PRESSURE USING FIRST ORDER SHEAR DEFORMATION THEORY , 2012 .

[31]  Hui-Shen Shen,et al.  Nonlinear vibration of microtubules in living cells , 2011 .

[32]  Hui‐Shen Shen.  Nonlocal shear deformable shell model for bending buckling of microtubules embedded in an elastic medium , 2010 .

[33]  M. Eslami,et al.  AXISYMMETRIC MECHANICAL AND THERMAL STRESSES IN THICK SHORT LENGTH FGM CYLINDERS , 2009 .

[34]  Yoshihiro Ootao,et al.  Transient Thermoelastic Analysis for a Functionally Graded Hollow Cylinder , 2006 .

[35]  Z. Shao.  Mechanical and thermal stresses of a functionally graded circular hollow cylinder with finite length , 2005 .

[36]  M. R. Eslami,et al.  Mechanical and thermal stresses in a functionally graded hollow cylinder due to radially symmetric loads , 2002 .

[37]  M. Ozturk,et al.  EXACT SOLUTIONS FOR STRESSES IN FUNCTIONALLY GRADED PRESSURE VESSELS , 2001 .