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中文摘要：
在多尺度渐近展开式的基础上，讨论小周期复合材料弹性结构均匀化方程的各向异性混合元，给出了关于位移向量的L^2-模和应变张量的H（div）-模的误差估计．这种单元具有各向异性特征，解除了正则性条件的束缚，有较好的实用性．最后的数值结果验证了理论的正确性．
英文摘要：
Based on the multi-scale asymptotic expansion, a mixed finite element method is discussed on anisotropic meshes. The method involves homogenization theory in small periodic elastic structure of composite materials. The error estimates in L2 -norm for displacement vector and H（div）- norm for strain tensor are derived. Relieving regularity assumption, this element is more practical. Finally, the numerical results validate the theoretical analysis.
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