Exact Solution of the Elastica with Transverse Shear Effects
Loading...
Files
External sources
External sources
Date
Advisor
Coadvisor
Graduate program
Undergraduate course
Journal Title
Journal ISSN
Volume Title
Publisher
World Scientific Publ Co Pte Ltd
Type
Article
Access right
Acesso restrito
Files
External sources
External sources
Abstract
A new derivation of Euler's Elastica with transverse shear effects included is presented. The elastic potential energy of bending and transverse shear is set up. The work of the axial compression force is determined. The equation of equilibrium is derived using the variation of the total potential. Using substitution of variables an exact solution is derived. The equation is transcendental and does not have a closed form solution. It is evaluated in a dimensionless form by using a numerical procedure. Finally, numerical examples of laminates made of composite material (fiber reinforced) and sandwich panels are provided.
Description
Keywords
Postbuckling, transverse shear, elastica, composite beam
Language
English
Citation
International Journal Of Structural Stability And Dynamics. Singapore: World Scientific Publ Co Pte Ltd, v. 14, n. 8, 14 p., 2014.
