| 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 |
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| 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 |
| 投稿时间：2023-07-18 修订日期：2023-09-11 |
| DOI：10.7511/jslx20230718003 |
| 中文关键词: 热后屈曲 二次摄动法 石墨烯片 功能梯度材料 |
| 英文关键词:thermal postbuckling two-step perturbation method graphene platelet functionally graded materials |
| 基金项目:自然科学基金(11962026);内蒙古自然科学基金(2021MS01013);内蒙古师范大学基本科研业务费项目(2022JBZD010,2022JBXC013);内蒙古师范大学研究生科研创新基金(CXJJS22101)资助项目. |
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| 中文摘要: |
| 研究了固支边界条件下,非线性弹性基础上功能梯度石墨烯片增强复合材料GPLRC(graphene platelets reinforced composite)梁在轴向力和温度场共同作用下的热后屈曲问题。基于Hamilton原理,采用一阶剪切变形梁理论和冯卡门非线性应变位移关系,建立了梁的非线性控制方程,并将3个方程简化为2个关于挠度和转角的非线性方程,利用二次摄动技术化为一系列的摄动方程,逐阶求出渐进解,得到两端固支边界条件下热后屈曲温度的表达式。通过参数分析,探究了石墨烯片GPLs(graphene platelets)的分布模式、几何形状、重量分数,以及弹性基础刚度参数、轴向力对热后屈曲温度的影响。计算结果表明,轴向拉力增大、弹性基础刚度增大、在靠近顶部和底部的位置添加更多的GPL都会提高热后屈曲的性能;非线性Winkler弹性基础会改变热后屈曲平衡路径。 |
| 英文摘要: |
| 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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