中文摘要：

为考察不同建模形式和界面处理方式对由功能梯度材料构成的双层悬臂梁计算结果的影响，通过有限元计算结果与理论解的对比发现，对于功能梯度悬臂梁，选取八节点二次单元能更好地消除剪力自锁现象，比四节点线性单元的求解结果更加精确；对于双材料理想界面，采取强制位移约束条件比消除重合节点的约束条件更符合真实情况；梁端部附近应力场的有限元解比理论解更加合理．

英文摘要：

To study the effect of different modeling and interface treatment on the calculation results of a functionally graded bi-layer cantilever beam, the comparison of finite element calculation results and theoretical solutions indicate that, the eight-node second-order element is more precise than the four-node linear element because the former could eliminate the shear self-locking effectively; as to the perfect interface of dual-material, the constraint condition, forced displacement coupling is more in line with the actual situation than the constraint condition of eliminating coincident nodes, and the finite element solutions of stress field around beam end are more rational than the theory solutions.