Isogeometric nonlocal strain gradient quasi-three-dimensional plate model for thermal postbuckling of porous functionally graded microplates with central cutout with different shapes  

作　　者：Rui SONG S.SAHMANI B.SAFAEI 

机构地区：[1]Department of Civil and Architecture Engineering,Nanchang Institute of Technology,Nanchang 330099,China [2]Mechanical Rotating Equipment Department,Niroo Research Institute(NRI),Tehran 14665-517,Iran [3]Department of Mechanical Engineering,Easten Mediterranean Univensity,Famagusta 99628,North Cyprus via Mersin 10,Turkey

出　　处：《Applied Mathematics and Mechanics(English Edition)》2021年第6期771-786,共16页应用数学和力学（英文版）

基　　金：Project supported by the Natural Science Foundation of Jiangxi Science and Technology Department(No. 20202BAB204027)。

摘　　要：This study presents the size-dependent nonlinear thermal postbuckling characteristics of a porous functionally graded material(PFGM) microplate with a central cutout with various shapes using isogeometric numerical technique incorporating nonuniform rational B-splines. To construct the proposed non-classical plate model, the nonlocal strain gradient continuum elasticity is adopted on the basis of a hybrid quasithree-dimensional(3D) plate theory under through-thickness deformation conditions by only four variables. By taking a refined power-law function into account in conjunction with the Touloukian scheme, the temperature-porosity-dependent material properties are extracted. With the aid of the assembled isogeometric-based finite element formulations,nonlocal strain gradient thermal postbuckling curves are acquired for various boundary conditions as well as geometrical and material parameters. It is portrayed that for both size dependency types, by going deeper in the thermal postbuckling domain, gaps among equilibrium curves associated with various small scale parameter values get lower, which indicates that the pronounce of size effects reduces by going deeper in the thermal postbuckling regime. Moreover, we observe that the central cutout effect on the temperature rise associated with the thermal postbuckling behavior in the presence of the effect of strain gradient size and absence of nonlocality is stronger compared with the case including nonlocality in absence of the strain gradient small scale effect.

关 键 词：porosity functionally graded(FG)composite isogeometric approach quasi-three-dimensional(3D)plate theory nonlocal strain gradient elasticity 

分 类 号：O175[理学—数学]