Faculty of Engineering and Applied Science

Topics in Plates and Shells 


Rationale
Plates and shells form a major part of all applications in the area of
Structural Mechanics and Materials. Almost all civil and mechanical engineering
structures are basically made of components which can be viewed as
beams/bars, plates and shells. Behaviour of beams, bars, etc., is usually
covered at undergraduate level. Traditionally, graduate students across the
world who work in structural mechanics tended to take several courses
covering the topics of Advanced Solid Mechanics, Plates, Shells, Stability,
Finite Elements, etc. At 
The course is intended to familiarize the students with the fundamental concepts, basic development of governing equations, their solution to standard cases, and some special application areas. In addition, an introduction will be given to special solution techniques such as finite differences, etc. This should give the students a firm grounding leading to better understanding of their individual research topics, which usually consist of components such as plates and shells. 
Course Outline:
Basics 

1a. 
Short introduction may include brief review of tensors and curvilinear coordinates, Fundamental equations of deformable bodies, StressStrain and Compatibility equations 
1b. 
Plates loaded in their plane. Governing equations, basic concepts in the solution 
Introduction to the theory of Plates 

2a. 
Fundamental equations of Plate bending 
2b. 
Solutions to rectangular plates and circular plates with regular loading 
2c. 
Engineering Applications 
Special Topics in Plates 

3a. 
Introduction to large deflections of plates 
3b. 
Introduction to the stability of plates 
3c. 
Finite difference solution for plates 
Introduction to the theory of Shells 

4a. 
Membrane theory of shells 
4b. 
Applications of the membrane theory 
4c. 
Bending theory of shells 
4d. 
Applications for shallow shells 
Special Topics in Shells 

5a. 
Axisymmetric shells 
5b. 
Stability and large deformation of shells 
5c. 
Dynamics and vibrations of shells 
5d. 
Engineering applications of shells 
Assessment Procedure:
Assignments 
10% 
Midterm Examination 
30% 
Project work 
10% 
Final Examination 
50% 
References:
Timishenko, S.P. and S. WoinowskyKrieger, 1970. "Theory Plates and Shells," McGrawHill
R. Szilard. 1974. "Theory and Analysis of Plates Classical and Numerical Methods," Prentice Hall.
Mansfield, E.H. 1989. "The Bending and Stretching of Plates," Cambridge University Press
Jaeger, L.G. "Elementary Theory of Elastic Plates," Pergamon Press
Salvadori, M.G. and M.L. Baron, 1967. "Numerical Methods in Engineering, " PrenticeHall
Donnell, L.H., 1976. "Beams, Plates and Shells," McGrawHill
Flugge, W., 1990. "Stresses in Shells," Springer
Class Notes on the Theory of Plates – S.M.R. Adluri, MUN
Timishenko, S.P. and J. N. Goodier, 1970. "Theory Elasticity," McGrawHill
Additional references will be given during the course.
Legal stuff: 
The MUN Faculty Association asked us to
include the following in Legalese. J So there! J The lectures and displays (and all material) delivered or
provided in this course, including any visual or audio recording thereof, are
subject to copyright owned by the instructor for the course (Dr. Seshu
Adluri). Other copyrights may also be
applicable. It is prohibited to record or copy by any means, in any format,
openly or surreptitiously, in whole or in part, in the absence of express
written permission from the instructor, Dr. Seshu Adluri any of the lectures,
materials provided or published in any form during or from the above course. 