考虑横向剪切变形的层合板弯曲应力分析

Stresses analysis of the bending in laminated plates

比较了考虑横向剪切变形的几种力学模型 ,提出了一种新的假定剪应力沿板厚呈抛物线分布的分层模型 .以特殊正交各向异性层合板为例 ,采用两种不同的方法建立了各层剪切应变的关系 ,推演了层合板横向弯曲的微分方程组及边界条件 .算例表明 。

This paper compared several mechanical models with transverse shear deformation and put forward a kind of layer model assuming that shear stresses vary parabolically through the plate thickness. The author established the relations of shear strains of each layer in two different ways and deduced the differential equations and boundary conditions. The examples were given and the results indicated that this theoretical model enhanced the calculating precision.