A weak form quadrature element method for plane elasticity problems

摘要

A weak form quadrature element method is proposed and applied to analysis of plane elasticity problems. A variational formulation of plane elasticity problems is established and the differential quadrature analog of the derivatives in the functional is introduced. Several typical plane elasticity problems are studied to verify the proposed method. Results show that the method is highly efficient and promising. It is applied to the analysis of nearly incompressible materials and shown to be robust against volumetric locking. Similarities and dissimilarities, advantages and disadvantages as compared with other numerical methods, typically the p-version finite element method are discussed.