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VARIATIONAL FORMULATION AND FINITE ELEMENT IMPLEMENTATION OF PAGANO'S THEORY OF LAMINATED PLATES

机译:VARIATIONAL FORMULATION AND FINITE ELEMENT IMPLEMENTATION OF PAGANO'S THEORY OF LAMINATED PLATES

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摘要

Pagano's theory of laminated composites is restated as a self-adjoint system of coupled equations. Consistent boundary operators are identified and a general variational principle, allowing for non-homogeneous boundary conditions as well as possible internal discontinuities is stated. Possible extensions to relax requirements of differentiability of various field variable are discussed. Specializations, restricting the variables to identically satisfy one or more of the field and/or boundary conditions, serve to reduce the number of free field variables. One such specialization is implemented in a finite element computer program used to solve several example problems of stresses in free-edge tensile specimens.

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