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| Thermal postbuckling of functionally graded graphene platelet-reinforced composite beams |
| Received:July 18, 2023 Revised:September 11, 2023 |
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| DOI：10.7511/jslx20230718003 |
| KeyWord:thermal postbuckling two-step perturbation method graphene platelet functionally graded materials |
| Author | Institution |
| 吕颖 |
内蒙古师范大学 数学科学学院, 呼和浩特 ;无穷维哈密顿系统及其算法应用教育部 重点实验室, 呼和浩特 ;内蒙古应用数学中心, 呼和浩特 |
| 张静 |
内蒙古师范大学 数学科学学院, 呼和浩特 ;无穷维哈密顿系统及其算法应用教育部 重点实验室, 呼和浩特 ;内蒙古应用数学中心, 呼和浩特 |
| 李联和 |
内蒙古师范大学 数学科学学院, 呼和浩特 ;无穷维哈密顿系统及其算法应用教育部 重点实验室, 呼和浩特 ;内蒙古应用数学中心, 呼和浩特 |
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| 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. |
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