In this paper, it has been pro ved that the well_known Hu_Washizu variational principle is a pseudo_generalized variational principle(pseudo_GVP). The stationary conditions of its functional may satisfy all its fiel...In this paper, it has been pro ved that the well_known Hu_Washizu variational principle is a pseudo_generalized variational principle(pseudo_GVP). The stationary conditions of its functional may satisfy all its field equations and boundary conditions if all the variables in the functional are considered as independent variations, but there might exi st some kinds of constraints. Some new pseudo_GVPs are established to distinguis h them from genuine ones by the so_called inverse Lagrange multiplier method. Th e constrained Hu_Washizu principle, therefore, is proved to be equivalent with t he Hellinger_Reissner principle under the constraints of stress_strain relations .展开更多
文摘In this paper, it has been pro ved that the well_known Hu_Washizu variational principle is a pseudo_generalized variational principle(pseudo_GVP). The stationary conditions of its functional may satisfy all its field equations and boundary conditions if all the variables in the functional are considered as independent variations, but there might exi st some kinds of constraints. Some new pseudo_GVPs are established to distinguis h them from genuine ones by the so_called inverse Lagrange multiplier method. Th e constrained Hu_Washizu principle, therefore, is proved to be equivalent with t he Hellinger_Reissner principle under the constraints of stress_strain relations .
