计算力学学报2024，Vol.41Issue(6)：1097-1102,6.DOI:10.7511/jslx20230718003
功能梯度石墨烯片增强复合材料梁的热后屈曲
Thermal postbuckling of functionally graded graphene platelet-reinforced composite beams
摘要
Abstract
Thermal postbuckling of functionally graded graphene platelet-reinforced composite(GPLRC)beams on a nonlinear elastic foundation under the combined effect of axial forces and temperature field is investigated under clamped boundary conditions.Based on the Hamilton's principle,the nonlinear governing equations of beams are established by using the first-order shear deformation beam theory and von Kármán-type nonlinear strain-displacement relationship.The three equations are simplified into two nonlinear equations about deflection and rotation,which are transformed into a series of perturbation equations by a two-step perturbation technique,and the asymptotic solutions are derived step by step to obtain the expressions of the thermal postbuckling temperature under the clamped boundary conditions at both ends.Through the parameter analysis,the effects of the graphene platelet(GPLs)distribution pattern,geometry and size,weight fraction,elastic foundation coefficient and axial force on thermal postbuckling temperature are explored.The calculation results show that:increasing axial tension,increasing elastic foundation stiffness,and adding more GPL near the top and bottom improve the performance against thermal postbuckling;a nonlinear Winkler elastic foundation changes the thermal postbuckling equilibrium path.关键词
热后屈曲/二次摄动法/石墨烯片/功能梯度材料Key words
thermal postbuckling/two-step perturbation method/graphene platelet/functionally graded materials分类
数理科学引用本文复制引用
吕颖,张静,李联和..功能梯度石墨烯片增强复合材料梁的热后屈曲[J].计算力学学报,2024,41(6):1097-1102,6.基金项目
国家自然科学基金(11962026) （11962026）
内蒙古自然科学基金(2021MS01013) （2021MS01013）
内蒙古师范大学基本科研业务费项目(2022JBZD010,2022JBXC013) （2022JBZD010,2022JBXC013）
内蒙古师范大学研究生科研创新基金(CXJJS22101)资助项目. （CXJJS22101）
