Bending of elastic plates with transverse shear deformation: The Neumann problem | Zendy

Constanda Christian | Zendy; Doty Dale | Zendy

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Bending of elastic plates with transverse shear deformation: The Neumann problem

Author(s) -

Constanda Christian,

Doty Dale

Publication year - 2018

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.4704

Subject(s) - mathematics , von neumann stability analysis , transverse plane , computation , fourier series , mathematical analysis , bending , neumann series , fourier transform , deformation (meteorology) , shear (geology) , neumann boundary condition , transverse shear , domain (mathematical analysis) , geometry , boundary value problem , structural engineering , materials science , composite material , engineering , algorithm

A generalized Fourier series method is constructed to approximate the solution of the Neumann problem in a finite domain for the system of equations governing the bending of elastic plates with transverse shear deformation. The method is illustrated by an example with computation performed by 3 different techniques that are contrasted and compared for efficiency, accuracy, and stability.

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