Buckling and Resonance Frequency of Nanoplates with High-order Surface Stresses

• Main Authors: Chih-HaoCheng, 鄭之浩
• Other Authors: Tung-Yang Chen
• Format: Others
• Language: en_US
• Published: 2014
• Online Access: http://ndltd.ncl.edu.tw/handle/14801372985697498523

碩士 === 國立成功大學 === 土木工程學系 === 102 === A refined mathematical framework of high-order surface stresses, extended from the conventional surface stresses model, is implemented in the mathematical framework for the modeling of buckling load and resonance frequency of nanoplates. The high-order interface stresses are formulated following the proposition of non-uniform surface stress across the layer thickness, and thereby effectively inducing a membrane stress as well as surface moment. In the formulation the deformation of the thin interphase is approximated by the Kirchhoff-Love assumption of thin plate. In illustration, circular and rectangular nanoplates with simply supported or clamped boundary conditions are exemplified. Analytic for numerical solutions of the derived results are compared with the simplified solutions based on conventional surface stress model and on the classical results of linear elasticity. We aim to explore the scope of applicability that the refined continuum mechanics model could be a valid approach in the estimate of mechanical behavior of nanoplates.