中文摘要：

将梁的弹性大挠度弯曲理论应用于蜂窝壁板，研究了大变形条件下蜂窝材料的非线性剪切变形行为．研究中将椭圆积分形式的解答应用于蜂窝胞元的壁板，并利用平衡和变形谐调条件建立了相应的非线性代数方程组，然后利用牛顿-拉夫森迭代法求解．在上述数值解法的基础上，确定了等效剪应力和剪应变间的非线性曲线，并给出了剪切模量的非线性修正因子，该因子只与蜂窝形状和变形情况有关，而与细长比无关，因而能描述一类蜂窝材料的剪切行为．与有限元数值结果的比较表明，此方法具有较好的精度．

英文摘要：

Basing on the elastic bending theory of beams in large deflection, the non-linear shearing behavior of cellular materials under large deformation is studied in the paper. Non-linear algebra equations are established from the balance and kinematical conditions, which contain the elliptic-integral-form solutions and can be solved by using the New-Raphson method. Basing on the numerical results above,a non-linear relationship between shearing stress and strain is presented. A non-linear modified factor of shearing modulus is also given out,which is only related with the shape of the celular materials and deformation results and is independent of the ratio of t and l,and thus it can describe a kind of cellular materials＇ shearing behavior. Compared with the results of Finite Element Method （FEM） ,the results in this paper have fine precision.