Decoupling of constitutive equations for multi-layered nano-plates embedded in elastic matrix based on non-local elasticity theory using first and higher-order shear deformation theories

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• 作者：Shahriar Dastjerdi ; Sharifeh Aliabadi…
• 关键词：Eringen non ; local elasticity theory ; First and higher order shear deformation theories ; Nano ; plates ; Van der Waals interaction ; Winkler ; Pasternak elastic foundation
• 刊名：Journal of Mechanical Science and Technology
• 出版年：2016
• 出版时间：March 2016
• 年：2016
• 卷：30
• 期：3
• 页码：1253-1264
• 全文大小：531 KB
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• 作者单位：Shahriar Dastjerdi (1)
  Sharifeh Aliabadi (2)
  Mehrdad Jabbarzadeh (2)
  
  1. Department of Mechanical Engineering, Shahrood Branch, Islamic Azad University, Shahrood, Iran
  2. Department of Mechanical Engineering, Mashhad Branch, Islamic Azad University, Mashhad, Iran
  
• 刊物类别：Engineering
• 刊物主题：Mechanical Engineering
  Structural Mechanics
  Control Engineering
  Industrial and Production Engineering
  
• 出版者：The Korean Society of Mechanical Engineers
• ISSN：1976-3824

文摘

The constitutive equations of nano-plates embedded in elastic matrix are derived based on Eringen non-local elasticity theory. Considering the non-local differential constitutive relations of Eringen theory in Cartesian and cylindrical coordinates system based on the first and higher order shear deformation theories and using the Von Karman strain field, the equilibrium differential equations are derived in terms of generalized displacements and rotations. In addition, the obtained governing equations for single layer nano plates are developed for multi-layer nano-plates. Rectangular, annular/circular and sectorial nano-plates are considered. In the most of the investigations in non-local elasticity theory, the classical plate theory (CLPT) is used, however in this paper, the governing equations are derived based on both FSDT and HSDT theories because of obtaining more accurate results.