层合板热弹性问题混合状态Hamilton半解析法

从单斜晶材料热弹性问题分析的Ｈｅｌｌｉｎｇｅｒ－Ｒｅｉｓｓｎｅｒ泛函表达式出发，推导了混合边界条件下热弹性问题分析修正的Ｈｅｌｌｉｎｇｅｒ－Ｒｅｉｓｓｎｅｒ泛函表达式；建立了复合材料层合板热弹性总是了分析的混合状态Ｈａｍｉｌｔｏｎ等参元列式；给出了状太民方程的求解过程。

Mixed state Hamilton semi analytical method on thermal elastic problem of laminates

Deducing from the Hellinger Reissner functional expression of the thermal elastic problem of the monoclinic materials, the modified Hellinger Reissner functional expression on the thermal elastic problem of the mixed boundary conditions is obtained. The mixed state Hamilton isoparameter element equations to study the thermal elastic problem of the composite laminates is set up. And, the solving procedure of the state equations is also given. The loss which is caused by the introduction of the assumptions of plate theories is avoided. This method presents a new way on the study of the thermal stress problem of the laminates (especially for the interlaminated thermal stress of the multi layer thick laminates). The numerical results show the correctness and the utility of the method.