### Introduction to Solid Mechanics

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Lecturer
Wijeyewickrema Anil
Place
Tue5-6(M112)
Credits
Lecture2  Exercise0  Experiment0
Code
61065
Syllabus updated
2014/3/18
Lecture notes updated
2014/3/18
Semester
Spring Semester

### Outline of lecture

01.Mathematical preliminaries-index notation, vectors and tensors.
02.Traction vector, equilibrium equations, stress and strain tensors.
03.Governing equations in cylindrical polar coordinates.
04.Linear elasticity.
05.Elastostatic plane problems.

### Purpose of lecture

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.

### Plan of lecture

’╝æ’╝Ä
Mathematical preliminaries -- Index notation

’╝Æ’╝Ä
Mathematical preliminaries -- Vectors and Cartesian tensors

’╝ō’╝Ä
Mathematical preliminaries - Eigen-value problems, vector and tensor calculus

’╝ö’╝Ä
Stress and strain - Stresses, traction and equilibrium equations

’╝Ģ’╝Ä
Stress and strain - Principal stress and maximum shear stress

’╝¢’╝Ä
Stress and strain - Strain tensor

’╝Ś’╝Ä
Stress and strain - Cylindrical polar coordinates

’╝ś’╝Ä
Stress and strain - Spherical coordinates

’╝Ö’╝Ä
Linear elasticity - Hooke's law

’╝æ’╝É’╝Ä
Linear elasticity - introduction to anisotropic elasticity

’╝æ’╝æ’╝Ä
Elastostatic plane problems - Classification of two-dimensional elasticity problems

’╝æ’╝Æ’╝Ä
Elastostatic plane problems - Airy stress functions

’╝æ’╝ō’╝Ä
Elastostatic plane problems - Infinite plate problem and Kirsch solution

’╝æ’╝ö’╝Ä
Elastostatic plane problems - Infinite plane with a uniform body force in a circular region

’╝æ’╝Ģ’╝Ä
Elastostatic plane problems - Hertz solution

### Textbook and reference

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.

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### Evaluation

Homework - 20%, Quizzes - 20% and Final exam - 60% 