Bilinear plate bending element for thin and moderately thick plates using Integrated Force Method

2007 ◽  
Vol 26 (1) ◽  
pp. 43-68 ◽  
Author(s):  
H.R. Dhananjaya ◽  
J. Nagabhushanam ◽  
P.C. Pandey
Keyword(s):  
Plate Bending ◽  
Thick Plates ◽  
Force Method ◽  
Integrated Force Method ◽  
Moderately Thick Plates

Three-dimensional structural analysis by the integrated force method

1996 ◽  
Vol 58 (5) ◽  
pp. 869-886 ◽  
Author(s):  
I. Kaljević ◽  
S.N. Patnaik ◽  
D.A. Hopkins
Keyword(s):  
Structural Analysis ◽  
Three Dimensional ◽  
Force Method ◽  
Integrated Force Method

The dual integrated force method applied to unidirectional composites

2014 ◽  
Vol 98 (9) ◽  
pp. 663-677 ◽  
Author(s):  
I. Adarraga ◽  
M.A. Cantera ◽  
J.M. Romera ◽  
N. Insausti ◽  
F. Mujika
Keyword(s):  
Unidirectional Composites ◽  
Force Method ◽  
Integrated Force Method

Sharp Corner Functions for Mindlin Plates

2005 ◽  
Vol 72 (1) ◽  
pp. 1-9 ◽  
Author(s):  
O. G. McGee ◽  
J. W. Kim ◽  
A. W. Leissa
Keyword(s):  
Plate Theory ◽  
Thin Plates ◽  
Mode Shapes ◽  
Mindlin Plate ◽  
Transverse Displacement ◽  
Thick Plates ◽  
Thin Plate Theory ◽  
Mindlin Plate Theory ◽  
Moderately Thick Plates ◽  
Sharp Corners

Transverse displacement and rotation eigenfunctions for the bending of moderately thick plates are derived for the Mindlin plate theory so as to satisfy exactly the differential equations of equilibrium and the boundary conditions along two intersecting straight edges. These eigenfunctions are in some ways similar to those derived by Max Williams for thin plates a half century ago. The eigenfunctions are called “corner functions,” for they represent the state of stress currently in sharp corners, demonstrating the singularities that arise there for larger angles. The corner functions, together with others, may be used with energy approaches to obtain accurate results for global behavior of moderately thick plates, such as static deflections, free vibration frequencies, buckling loads, and mode shapes. Comparisons of Mindlin corner functions with those of thin-plate theory are made in this work, and remarkable differences are found.

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