Abstract: Based on new forms of the densities of potential and complementary energy rate, two kinds of the generalized functionals and the generalized variational principles belonging to three independent argument functions were established with Largrange multiplier method. Making use of match principle in combinatorics and normalization method, we have derived the new forms of the functionals and variational principles belonging to two independent argument functions and standard principle from the generalized variational principles.
These generalized variational principles are the fundamentals for approximate computation and numerical analyais of the engineering structure in creep theory.