Finite elements based on consistently assumed stresses and displacements

Pian, 1964, Derivation of element stiffness matrices by assumed stress distributions, AIAA Journal, 2, 1333, 10.2514/3.2546 Pian, 1978, A historical note about ‘hybrid elements’, Internat. J. Numer. Meths. in Engrg., 12, 891, 10.1002/nme.1620120514 Fraeijs, 1965, Displacement and equilibrium models in finite element method, 145 Pian, 1969, Rationalization in deriving element stiffness matrix by assumed stress approach, 441 Pian, 1983, On the suppression of zero energy deformation modes, Internat. J. Numer. Meths. Engrg., 19, 1741, 10.1002/nme.1620191202 Yang, 1982, On some fundamental studies into the stability of hybrid/mixed finite element methods for Navier-Stokes equations in solid/fluid mechanics, 25 Pian, 1981, On hybrid and mixed finite element methods 1982, 1 Pian, 1982, Alternative ways for formulation of hybrid stress elements, Internat. J. Numer. Meths. Engrg., 18, 679, 10.1002/nme.1620181107 Pian, 1964, Derivation of element stiffness matrices, AIAA Journal, 2, 576, 10.2514/3.2372 Froier, 1974, The rectangular plane stress element by Turner, Pian and Wilson, Internat. J. Numer. Meths. Engrg., 8, 433, 10.1002/nme.1620080223 Wilson, 1973, Incompatible displacement models, 43 Pian, 1982, On the equivalence of non-conforming elements and hybrid stress elements, Vol. 3, 773 Pian, 1984, Rational approach for assumed stress finite element, Internat. J. Numer. Meths. Engrg., 20, 1685, 10.1002/nme.1620200911 Pian, 1983, A new formulation of hybrid/mixed finite element, Computers and Structures, 16, 81, 10.1016/0045-7949(83)90149-9 Irons, 1972, An assumed-stress version of the Wilson 8-node isoparametric brick Pian, 1984, New variational formulation of hybrid stress elements, 2297, 17 Tian, 1984, Axisymmetric solid elements by a rational hybrid stress method Pian, 1984, Hybrid semi-Loof elements for plates and shells based upon a modified Hu-Washizu principle, Computers and Structures, 19, 165, 10.1016/0045-7949(84)90215-3