Axisymmetric loading on nanoscale multilayered media  

作　　者：Pong-in INTARIT Kanin TARNTIRA Teerapong SENJUNTICHAI Suraparb KEAWSAWASVONG 

机构地区：[1]Department of Civil Engineering,Faculty of Engineering,Prince of Songkla University,Songkhla 90110,Thailand [2]Center of Excellence in Applied Mechanics and Structures,Department of Civil Engineering,Faculty of Engineering,Chulalongkorn University,Bangkok 10330,Thailand [3]Department of Civil Engineering,Thammasat School of Engineering,Thammasat University,Pathum Thani 12120,Thailand

出　　处：《Frontiers of Structural and Civil Engineering》2023年第1期152-164,共13页结构与土木工程前沿（英文版）

基　　金：supported by the Civil Engineering Centennial Scholarship of Chulalongkorn University,Thailand Research Fund under Grant MRG6280116;the TRF Senior Research Scholar under Grant RTA 6280012.

摘　　要：Multilayered nanoscale structures are used in several applications.Because the effect of surface energy becomes nontrivial at such a small scale,a modified continuum theory is required to accurately predict their mechanical behaviors.A Gurtin–Murdoch continuum model of surface elasticity is implemented to establish a computational scheme for investigating an elastic multilayered system under axisymmetric loads with the incorporation of surface/interface energy.Each layer stiffness matrix is derived based on the general solutions of stresses and displacements obtained in the form of the Hankel integral transform.Numerical solutions to the global equation,which are formulated based on the continuity conditions of tractions and displacements across interfaces between layers,yield the displacements at each layer interface and on the top surface of the multilayered medium.The numerical solutions indicate that the elastic responses of multilayered structures are affected significantly by the surface material properties of both the top surface and interfaces,and that they become size dependent.In addition,the indentation problem of a multilayered nanoscale elastic medium under a rigid frictionless cylindrical punch is investigated to demonstrate the application of the proposed solution scheme.

关 键 词：functionally graded layer Gurtin–Murdoch surface elasticity multilayered medium size dependency stiffness matrix 

分 类 号：TU3[建筑科学—结构工程]