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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.