A GENERALIZED CONFORMING PLANE ELEMENT WITH INTERNAL PARAMETERS BASED ON ANALYTICAL TRIAL FUNCTIONS

Based on the analytical trial functions,a 4-node 8 degrees-of-freedom generalized conforming plane element with internal parameters is developed in this paper.From the governing equations of the elastic plane problem and the Airy stress function,the complete basic analytical solutions are derived and used as the trial functions to formulate the element: ATF-GCQ4X.Fourteen analytical trial functions form the second order complete inner field for strain while six additional boundary displacement modules are used as internal parameters.Balance forces are used to form the generalized conforming equations.Numerical examples show that the proposed element with internal parameters can enhance the precision without increasing degree-of-freedom,and satisfactory convergence rate is achieved.