ME 525                           THEORY OF ELASTICITY                                2015/2016 FALL

 

Instructor                  : Hakan Tanrıöver

Office                         : LA05

E-mail                        : htanriover@cankaya.edu.tr

Phone                         : +90 (312) 233 1378

Class Hours               : Thu 13:20-16:10 @ TBD

Office Hours              : Mon 13:20-15:10,  Wed 13:20-15:20, Thu 13:20-15:20

 

Text Book:

 

  • M. H. Sadd, Elasticity: Theory, Applications and Numerics, Elsevier Academic Press, 2005.

                         

Other References:

 

  • Theory of Elasticity, S. P. Timoshenko and J. N. Goodier, 3rd Edition, McGraw Hill Book Company, 1970, 1987.
  • N. I. Muskhelishvili, 1975, Some basic problems of the mathematical theory of elasticity, Noordhoff International Publishing.
  • A. P. Boresi and K. P. Chong, 1987, Elasticity in engineering mechanics, Elsevier.
  • A. E. Green and W. Zerna, 1968, Theoretical elasticity, Oxford Univ. Press (also in Dover edition, 1992).
  • A. E. H. Love, 1944, The mathematical theory of elasticity, Dover Publications.
  • I. S. Sokolnikoff, 1956, Mathematical theory of elasticity, McGraw-Hill.
  • Advanced Strength and Applied Elasticity, A. C. Ugural and S. K. Fenster, 4th Edition, Prentice Hall Publishers., Inc.

Course Description:

This course will introduce basic definitions of strain and stress tensors, derive strain deformation relationships for finite and small deformations, derive compatibility conditions for strain tensors, equilibrium equations, and formulate constitutive properties of orthotropic and isotropic elastic materials; then introduce the Airy stress functions for 2-D plane stress and plane strain problems in Cartesian and cylindrical coordinate systems.

 

Course Objectives:

 

The objective of this course is to introduce the student to the analysis of linear elastic solids under mechanical and thermal loads. The material presented in this course will provide the foundation for pursuing other solid mechanics courses such as theory of plates and shells, elastic stability, composite materials/structures and fracture mechanics.

 

 

 

Learning Outcomes

 

Students completing this course will be able to:

1- read current literature.

2- understand the basic concepts in continuum mechanics of solids, including strain, internal force, stress and equilibrium in solids.

3- characterize materials with elastic constitutive relations.

4- use analytical techniques to predict deformation, internal force and failure of simple solids and structural components.

 

Schedule:

Week

Topics

Chapter

1

Mathematical Preliminaries

1

2

Mathematical Preliminaries

1

3

Displacements and Strains

2

4

Stress and Equilibrium

3

5

Stress and Equilibrium

3

6

Material Behavior

4

7

Formulation and Solution Techniques

5

8

Formulation and Solution Techniques

5

9

Mid Term

 

10

Strain Energy and Related Principles

6

11

Two-Dimensional Formulation

7

12

Two-Dimensional Formulation

7

13

Two-Dimensional Problem Solution

8

14

Two-Dimensional Problem Solution

8

 

Assesment Criteria

 

Quantity

Percentage

Mid Terms

1

30

Homeworks

3

30

Final Exam

1

40

Attendance

 

5

 

 

Other:                         Detailed information can be found at webpage “http://me525.cankaya.edu.tr/”.