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Generalized Mixed Variational Principles and New FEM Models in Solid Mechanics

Rong, Ting-Yu

UCB/SEMM-1987/04, Dept. of Civil Engineering, University of California, Berkeley, 1987-07, 11 pages

Generalized variational principles in finite deformation theory of solid mechanics called "generalized mixed variational principles" (GMPV) are established. Their distinctive feature is that the functionals contain some arbitrary additional functions called "splitting factors." Applying GVMP to FEM takes advatange of these splitting factors to improve precision and circumvent special problems arising with non-homogenous media, anisotropic materials, incompressible bodies, and so on.

Available online: http://nisee.berkeley.edu/documents/SEMM/SEMM-87-04.pdf (973 KB)