A Finite Element Application of the Hellinger-Reissner Variational Theorem

摘要: Abstract : The Hellinger-Reissner Variational Theorem of linear elastostatics is used to construct a Finite Element Method solution for boundary value problems in generalized plane stress. For the examples considered, present application gives more accurate field description both displacement and stress than do existing applications models. mixed model yields solutions which all components tensor are continuous from element element, eliminating histograph distribution often found vector obtained considerably that given by comparable Results superior, but tend be dependent on material properties mesh configuration. In part, this can attributed identically satisfying conditions. Since desired result, it would advantageous bias direction. An alternate form functional accomplishes currently being studied. A stiffness matrix axisymmetric solids discussed several presented with comparisons made frequently model. What has been clearly demonstrated here Methods successfully variational theorems direct mechanics.