Meshless buckling analysis of FG-CNTRC plate on elastic foundation based on improved Reddy type third-order shear deformation theory
Received:November 06, 2022  Revised:December 21, 2022
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DOI:10.7511/jslx20221106001
KeyWord:improved Reddy’s third-order shear deformation theory  functionally graded carbon nanotube reinforced composite plate  Pasternak foundation  critical buckling load  moving-least square approximation
           
AuthorInstitution
许建文 广西新发展交通集团有限公司, 南宁
严世涛 广西交通职业技术学院, 南宁
彭林欣 广西大学 土木建筑工程学院, 南宁
陈卫 广西大学 土木建筑工程学院, 南宁 ;南华大学 土木工程学院, 衡阳
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Abstract:
      In order to solve the buckling problem of functionally graded carbon nanotube reinforced composite (FG-CNTRC) plates with carbon nanotubes (CNTs) orientation angle resting on an elastic foundation,a meshless analysis model based on improved Reddy’s third-order shear deformation theory (TSDT) and moving least square (MLS) is proposed.This model avoids the difficulty of imposing the second kind of boundary condition in the meshless method,and can satisfy the free surface conditions of medium thick/thick plates without introducing additional shear correction factors.Based on the principle of minimum potential energy,the governing meshless equations for the buckling of FG-CNTRC plates on an elastic foundation are derived.The convergence and effectiveness of this method are verified by a benchmark example.The effects of the orientation angle,volume fraction,distribution pattern,foundation coefficient,width-to-thickness ratio and boundary condition on the critical buckling loads of FG-CNTRC plates are analysed.