Paper Info
Title
Deduction By Scaling: A Unified Approach To Classic Plate And Rod Theories
Abstract
A method of formal scaling is presented that allows for a unified deduction from three-dimensional linear elasticity of the equations of structural mechanics, such as Reissner-Mindlin's equations for shearable plates and Timoshenko's equations for shearable rods. This method is based on the requirement that a scaled energy functional that may include second-gradient terms stay bounded in the limit of vanishing thickness.
Year
Venue
Field
2007
ASYMPTOTIC ANALYSIS
Mathematical analysis,Energy functional,Structural mechanics,Linear elasticity,Rod,Scaling,Mathematics,Bounded function
DocType
Volume
Issue
Journal
51
2
ISSN
Citations 
PageRank 
0921-7134
0
0.34
References 
Authors
0
2
Name
Order
Citations
PageRank
Bernadette Miara152.69
Paolo Podio-Guidugli231.99