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结合二维四边形单元的位移形函数,针对几种节点布置,导出a-模式的约束条件,建立了q～α对应关系。利用交叉能量矩阵G_α讨论了HMQ—5和HMH—10的含秩问题,并给出可供选择的应力方案。两种方案分别能够保证这两种单元不含多余奇异性。
Combined with the displacement shape function of two-dimensional quadrilateral elements, the constraints of a-mode are deduced for several kinds of nodes layout and the corresponding relation of q ~ α is established. The rank problem of HMQ-5 and HMH-10 is discussed by using the cross-energy matrix G_α, and the alternative stress solution is given. The two schemes respectively ensure that these two units do not contain extra singularities.