Introduction to Solid Mechanics

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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

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

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Mathematical preliminaries -- Index notation

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Mathematical preliminaries -- Vectors and Cartesian tensors

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

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Stress and strain - Stresses, traction and equilibrium equations

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Stress and strain - Principal stress and maximum shear stress

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Stress and strain - Strain tensor

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Stress and strain - Cylindrical polar coordinates

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Stress and strain - Spherical coordinates

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Linear elasticity - Hooke's law

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Linear elasticity - introduction to anisotropic elasticity

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Elastostatic plane problems - Classification of two-dimensional elasticity problems

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Elastostatic plane problems - Airy stress functions

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Elastostatic plane problems - Infinite plate problem and Kirsch solution

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

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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.

Related and/or prerequisite courses

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Evaluation

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

Comments from lecturer

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Supplement

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