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- Common Course of Graduate School

- Lecturer
- Wijeyewickrema Anil

- Place
- Tue5-6(M112)

- Credits
- Lecture2 Exercise0 Experiment0

- Code
- 61065

- Syllabus updated
- 2011/3/23

- Lecture notes updated
- 2011/3/23

- Semester
- Spring Semester

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.

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.

ｼ托ｼ

Mathematical preliminaries -- Index notation

ｼ抵ｼ

Mathematical preliminaries -- Vectors and Cartesian tensors

ｼ難ｼ

Mathematical preliminaries - Eigen-value problems, vector and tensor calculus

ｼ費ｼ

Stress and strain - Stresses, traction and equilibrium equations

ｼ包ｼ

Stress and strain - Principal stress and maximum shear stress

ｼ厄ｼ

Stress and strain - Strain tensor

ｼ暦ｼ

Stress and strain - Cylindrical polar coordinates

ｼ假ｼ

Stress and strain - Spherical coordinates

ｼ呻ｼ

Linear elasticity - Hooke's law

ｼ托ｼ撰ｼ

Linear elasticity - introduction to anisotropic elasticity

ｼ托ｼ托ｼ

Elastostatic plane problems - Classification of two-dimensional elasticity problems

ｼ托ｼ抵ｼ

Elastostatic plane problems - Airy stress functions

ｼ托ｼ難ｼ

Elastostatic plane problems - Infinite plate problem and Kirsch solution

ｼ托ｼ費ｼ

Elastostatic plane problems - Infinite plane with a uniform body force in a circular region

ｼ托ｼ包ｼ

Elastostatic plane problems - Hertz solution

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.

縺ｪ縺

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

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