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Some results concerning the state of bending for transversely isotropic plates
Author(s) -
Passarella Francesca,
Zampoli Vittorio
Publication year - 2009
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1113
Subject(s) - transverse isotropy , mathematics , uniqueness , representation (politics) , reciprocal , bending , isotropy , positive definiteness , mathematical analysis , galerkin method , state (computer science) , uniqueness theorem for poisson's equation , finite element method , physics , positive definite matrix , composite material , algorithm , materials science , eigenvalues and eigenvectors , quantum mechanics , linguistics , politics , political science , law , thermodynamics , philosophy
Abstract In this paper, we present a series of basic theorems for transversely isotropic plates characterized by a state of bending. More precisely, we show a reciprocal theorem and a uniqueness result without positive definiteness assumptions on the elastic coefficients. Moreover, we establish some variational and minimum principles. Finally, we give a Galerkin representation of the solution. Copyright © 2009 John Wiley & Sons, Ltd.