基于指数剪切变形理论的层合板湿热分析  

Hygrothermal analysis of laminated plates based on exponential shear deformation theory

作　　者：胡德义 贺丹[1] HU De-yi;HE Dan(Key Laboratory of Liaoning Province for Composite Structural Analysis of Aerocraft and Simulation,Shenyang Aerospace University,Shenyang 110136,China)

机构地区：[1]沈阳航空航天大学辽宁省飞行器复合材料结构分析与仿真重点实验室,沈阳110136

出　　处：《沈阳航空航天大学学报》2020年第6期9-19,共11页Journal of Shenyang Aerospace University

基　　金：国家自然科学基金(项目编号:11572204)。

摘　　要：基于指数剪切变形理论建立了复合材料层合板的湿热弯曲模型。该模型的位移场函数中包含了一个沿厚度方向坐标变化的指数项,能够考虑横向剪切变形的影响,且不需要引入剪切修正因子。基于虚功原理推导了控制方程和边界条件,以四边简支层合板为例分析了湿热作用下层合板应力和位移的响应。算例结果表明,当热载荷单独作用时,模型能够较为精确地预测位移和应力响应,尤其是与经典层合板理论及一阶剪切变形理论相比优势明显。当湿、热载荷共同作用时,模型所预测出的挠度要大于经典板理论和一阶剪切变形理论,面内应力及横向剪切应力也明显不同。另外,算例中虽未考虑机械载荷作用,但该模型是通用的,可适用于机械、热和湿载荷共同作用下的情况。Based on the theory of exponential shear deformation,the wet-heat bending model of composite laminates was established.The displacement field function of the model contains an exponential term of coordinate change along thickness direction,which can consider the influence of transverse shear deformation and does not need to introduce shear correction factor.The governing equations and boundary conditions were derived based on the principle of virtual work.Taking the four-side simply supported laminate as an example,the response of the stress and displacement of the laminate under hygrothermal was analyzed.The results of the example show that when the thermal load acts alone,the model can accurately predict the displacement and stress response,especially compared with the classical laminate theory and the first-order shear deformation theory.When the wet and thermal loads work together,the deflection predicted by this model is greater than the classical plate theory and the first-order shear deformation theory,and the in-plane stress and transverse shear stress are also obviously different.In addition,although the mechanical load effect is not considered in the example in this paper,the model is universal and can be used in the case of mechanical,thermal and wet loads.

关 键 词：指数剪切变形理论 正交各向异性层合板 位移应力 虚功原理 湿热载荷 

分 类 号：O343.8[理学—固体力学]