细观尺度下考虑湿热载荷联合作用的Mindlin层合板稳定性分析  

The stability analysis of Mindlin laminates considering the combined effect of wet and hot loads on the mesoscale

作　　者：张大千[1] 齐琦 梁豪豪 ZHANG Da-qian;QI Qi;LIANG Hao-hao(College of Aerospace Engineering,Shenyang Aerospace University,Shenyang 110136,China)

机构地区：[1]沈阳航空航天大学航空宇航学院,沈阳110136

出　　处：《沈阳航空航天大学学报》2021年第2期1-9,共9页Journal of Shenyang Aerospace University

基　　金：国家自然科学基金(项目编号:51406124)。

摘　　要：基于新修正偶应力理论,建立了机械载荷与湿热载荷共同作用下Mindlin层合板的湿热稳定性模型,引入一个材料尺度参数,利用虚功原理推导出控制方程和边界条件,针对四边简支方板,设定纳维叶解法的位移函数,进行了考虑温度变化和吸湿浓度的稳定性分析。结果表明:不论是单向轴压还是双向轴压,在湿热载荷作用时,Mindlin微板的失稳临界载荷大于经典宏观理论下的结果;尺度效应随着材料尺度参数的增加而增强;温度变化和吸湿浓度越大,尺度效应越明显;当跨厚比增大时,尺度效应减弱,并随着板几何参数的增大而逐渐消失,模型将退化为宏观模型。Based on the new modified couple stress theory,a damp-heat stability model of Mindlin laminates under the action of mechanical load and damp-heat load was established and a material scale parameter was introduced.The governing equations and boundary conditions were derived by using the principle of virtual work.The displacement function of Navier solution was set for the four-sided simply supported plate,and the stability of temperature change and moisture absorption concentration were analyzed.The results show that the critical instable load of Mindlin microplate is larger than classical macro theory under the combined action of wet and hot load,no matter it is unidirectional or bidirectional axial compression.The scale effect enhances with the increase of material scale parameters.The scale effect became more obvious with increase of temperature change and hygroscopic concentration.When the cross-thickness ratio increases,the scale effect weakens and gradually disappears with the increase of plate geometric parameters,the model degenerates into a macroscopic model.

关 键 词：新修正偶应力理论 Mindlin层合板 材料尺度参数 湿热稳定性 尺度效应 

分 类 号：V211[航空宇航科学与技术—航空宇航推进理论与工程]