Memorial University of Newfoundland

Faculty of Engineering and Applied Science

Eng. 9545

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 Memorial University, however, courses in plates, shells and stability have been absent for various reasons. It is long felt that our graduate students are generally lacking in the knowledge of these very important areas. A special topics course covering the twin area of plates and shells would be very helpful in this regard.

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, Stress-Strain 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. Woinowsky-Krieger, 1970. "Theory Plates and Shells," McGraw-Hill

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, " Prentice-Hall

Donnell, L.H., 1976. "Beams, Plates and Shells," McGraw-Hill

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," McGraw-Hill

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.