考虑横法向热应变的C~0型整体-局部高阶层合梁理论

通过考虑横法向热变形,本文建立了预先满足层间应力连续的C0型整体-局部高阶层合梁理论,并用于分析复合材料层合梁热膨胀和热弯曲问题。虽然考虑了横法向应变,不增加额外的位移变量。此理论位移场不含有横向位移一阶导数,便于构造多节点高阶单元。基于虚功原理推导了复合材料层合梁平衡方程,并分析了简支多层复合材料梁热膨胀和热弯曲问题。数值结果表明,建立的模型能准确分析复合材料层合梁热膨胀和热弯曲问题,忽略横法向应变的理论分析热膨胀问题误差较大。

C0-type global-local higher-order beam theory considering transverse normal thermal strain

By considering transverse normal thermal deformation,this paper proposed a C⁰-type global-local higher-order beam theory,which is used to analyze thermal expansion and bending problems.Although transverse normal strain was taken into account,additional displacement variables are not increased.First derivatives of transverse displacement have been removed from displacement field of the proposed model,so it is convenient to construct higher-order element based on the proposed model.Using the principle of virtual work,the equations of equilibrium has been obtained,and the thermal expansion and bending problems of laminated composite beams are to be studied.Numerical results show that the proposed model can accurately analyze the thermal expansion and bending problems,whereas the models neglecting transverse normal strain are less accurate.