任意边界形状层合板热弹性分析的 Hamilton 半解析法

Hamilton semi-analytical method to study thermal elastic problem of composite laminates with any contour

推导了异形层合板热弹性问题修正的Ｈｅｌｉｎｇｅｒ－Ｒｅｉｓｓｎｅｒ泛函表达式，介绍了其在板平面内进行有限元离散、而沿板厚度方向精确积分的半解析方法．数值算例表明，该方法不仅可以求解任意形状层合板的热应力和热变形，而且该方法还具有不受层合板层数和厚度的限制、未知量少、精度高等优点．

The modified HellingerReissner functional expression of thermal elastic problem of composite laminates with any contour is deduced; and, the corresponding semianalytical Hamilton method is introduced. The method is divided into two steps: 1) Discretizing along the inplane direction by finite element method; 2) Fine integration along the thickness direction of the laminates. The numerical results show that this method not only can solve the thermostress and deformation of the laminates with any contour, but also has some advantages of no restriction on the layer numbers and the thickness of the laminates, few unknowns and more accurate results.