Green's function applied to solution of mindlin plates

doi:10.1016/0045-7949(95)00376-2

Computers & Structures

Volume 60, Issue 1, 3 July 1996, Pages 41-48

https://doi.org/10.1016/0045-7949(95)00376-2 Get rights and content

Abstract

Numerical Green's functions constructed via the eigenfunction expansion method are derived to solve for non-classical (Mindlin) plate problems. The associated eigenvalue problem enables the expression of the Green's function as a series of eigenfunctions which are approximated by a series of polynomials that satisfy the homogeneous boundary conditions to which the plates are subjected. In order to construct the approximate Green's function consisting of polynomials, a computer algebra system (Mathematica) has been extensively used reducing substantially the amount of algebra involved in the calculation. The results are favorably compared with values found in the literature.

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Green's function applied to solution of mindlin plates

Abstract

Int. J. Mech. Sci.

Engng Anal. Boundary Elem.

Influence of rotary interia and shear of flexural motions of isotropic, elastic plates

J. appl. Mech.

Linked interpolation for Reissner-Mindlin plate elements: Part I—A simple quadrilateral

Int. J. numer. Meth. Engng

A stable bilinear element for the Reissner-Mindlin plate model

Comput. Meth. appl. Mech Engng

Linked interpolation for Reissner-Mindlin plate elements: Part II—a simple triangle

Int. J. numer. Meth. Engng

On a simple triangular Reissner-Mindlin plate elements

Int. J. numer. Meth. Engng

A new discrete Kirchhoff-Mindlin element based on Mindlin-Reissner throry and assumed shear strain fields. Part I: an extended DKT element for thick-plate banding analysis analysis

Int. J. numer. Meth. Engng