Size-dependent axisymmetric bending and buckling analysis of functionally graded sandwich Kirchhoff nanoplates using nonlocal strain gradient integral model  

作　　者：Chang LI Hai QING 

机构地区：[1]State Key Laboratory of Mechanics and Control for Aerospace Structures,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2025年第3期467-484,共18页应用数学和力学(英文版)

基　　金：Project supported by the National Natural Science Foundation of China(No.12172169);the Priority Academic Program Development of Jiangsu Higher Education Institutions。

摘　　要：This paper extends the one-dimensional(1D)nonlocal strain gradient integral model(NStraGIM)to the two-dimensional(2D)Kirchhoff axisymmetric nanoplates,based on nonlocal strain gradient integral relations formulated along both the radial and circumferential directions.By transforming the proposed integral constitutive equations into the equivalent differential forms,complemented by the corresponding constitutive boundary conditions(CBCs),a well-posed mathematical formulation is established for analyzing the axisymmetric bending and buckling of annular/circular functionally graded(FG)sandwich nanoplates.The boundary conditions at the inner edge of a solid nanoplate are derived by L'H?spital's rule.The numerical solution is obtained by the generalized differential quadrature method(GDQM).The accuracy of the proposed model is validated through comparison with the data from the existing literature.A parameter study is conducted to demonstrate the effects of FG sandwich parameters,size parameters,and nonlocal gradient parameters.

关 键 词：size effect nonlocal strain gradient integral model(NStraGIM) BENDING buckling Kirchhoff annular/circular nanoplate functionally graded(FG)sandwich material 

分 类 号：O344.1[理学—固体力学] TB383.1[理学—力学]