Mixed Finite Element Method for Elastic Problems of Composite Materials with Small Period

Abstract:

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 L2norm 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.