Name of Lecture |
Introduction to Solid Mechanics |
| Lecturer |
Assoc. Prof. Anil C. WIJEYEWICKREMA |
Syllabus |
[Aims]
The course is designed for the students to attain the following four objectives:
(1) Understand index notation used in equations in any subject area.
(2) Understand the fundamentals of stresses and strains.
(3) Obtain a good knowledge of linear elasticity.
(4) To be able to formulate and solve basic problems in solid mechanics.
[Outline]
- Mathematical preliminaries -- Index notation
- Mathematical preliminaries -- Vectors and Cartesian tensors
- Mathematical preliminaries - Eigen-value problems, vector and tensor calculus
- Stress and strain - Stresses, traction and equilibrium equations
- Stress and strain - Principal stress and maximum shear stress
- Stress and strain - Strain tensor
- Stress and strain - Cylindrical polar coordinates
- Stress and strain - Spherical coordinates
- Linear elasticity? Hooke’s law
- Linear elasticity? Introduction to anisotropic elasticity
- Elastostatic plane problems - Classification of two-dimensional elasticity problems
- Elastostatic plane problems - Airy stress functions
- Elastostatic plane problems - Infinite plate problem and Kirsch solution
- Elastostatic plane problems - Infinite plane with a uniform body force in a circular region
- Elastostatic plane problems - Hertz solution
[Evaluation] Homework - 20%, Quizzes - 20% and Final exam - 60%
[Texts] Timoshenko, S. P. and Goodier, J. N., 1970, “Theory of Elasticity”, 3rd edition, Mc-Graw-Hill, New York / Barber, J. R., 2002, “Elasticity”, 2nd edition, Kluwer, Dordrecht.
[Prerequisites] None |
