Computation of stress resultants in plate bending problems using higher-order triangular elements

abstract

• This paper is concerned with the development of a higher-order triangular plate element based on the first-order shear deformation plate theory. The present study brings out the shortcomings of conventional lower-order finite element interpolation when applied for the bending analysis of plates with free edges. The stress resultants, especially the transverse shear forces and twisting moments, obtained using the lower-order displacement finite elements fail to satisfy the natural (or force) boundary conditions accurately. On the other hand, the plate element with higher-order interpolation of the field variables enables the accurate prediction of stress resultants for plates. The superior performance of the higher-order plate bending element is demonstrated through bending analyses of plates of various shapes and free edges and examining the distribution of the stress resultants and the satisfaction of the natural boundary conditions. 2008 Elsevier Ltd. All rights reserved.

authors

• Reddy, Junuthula

published proceedings

• ENGINEERING STRUCTURES

author list (cited authors)

• Ramesh, S. S., Wang, C. M., Reddy, J. N., & Ang, K. K.

citation count

• 16

complete list of authors

• Ramesh, Sai Sudha||Wang, CM||Reddy, JN||Ang, KK

publication date

• October 2008

publisher

• Elsevier  Publisher

published in

• Engineering Structures  Journal

keywords

• Boundary Conditions
• Corner Supported Plates
• Higher-order Interpolation
• L-shaped Plates
• Plate Bending
• Skew Plates
• Stress Resultants

Digital Object Identifier (DOI)

• 10.1016/j.engstruct.2008.03.003

start page

• 2687

end page

• 2706

volume

• 30

issue

• 10

URL

• http://dx.doi.org/10.1016/j.engstruct.2008.03.003