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该文结合径向基点插值函数、弹簧层模型和弹性材料修正后的H-R(Hellinger-Reissner)变分原理,推导了含弱粘接复合材料层合板控制方程的无网格列式。利用典型径向基函数Multiquadric(MQ),计算了含弱粘接复合材料层合板的应力与位移。通过与精确法的对比,证明了控制方程无网格列式的正确性,并研究了弱粘接刚度和面积对层合板位移的影响规律。含弱粘接复合材料层合板控制方程的无网格列式与精确方法相比,更适合于复杂结构与复杂边界条件。
In this paper, the governing equations of weakly bonded composite laminates are deduced by combining the radial basis point interpolation function, the spring model and the modified H-R (Hellinger-Reissner) variational principle. Using the typical radial basis function Multiquadric (MQ), the stress and displacement of composite laminate with weak bonding were calculated. By comparing with the exact method, the correctness of the meshless formulation of the governing equations is proved. The influence of weak bonding stiffness and area on the displacement of the laminate is studied. Compared with the accurate method, the meshless formulation of the governing equations of the composite with weakly adhesive composite is more suitable for complex structures and complicated boundary conditions.