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.
1.
Mathematical preliminaries -- Index notation
2.
Mathematical preliminaries -- Vectors and Cartesian tensors
3.
Mathematical preliminaries - Eigen-value problems, vector and tensor calculus
4.
Stress and strain - Stresses, traction and equilibrium equations
5.
Stress and strain - Principal stress and maximum shear stress
6.
Stress and strain - Strain tensor
7.
Stress and strain - Cylindrical polar coordinates
8.
Stress and strain - Spherical coordinates
9.
Linear elasticity - Hooke's law
10.
Linear elasticity - introduction to anisotropic elasticity
11.
Elastostatic plane problems - Classification of two-dimensional elasticity problems
12.
Elastostatic plane problems - Airy stress functions
13.
Elastostatic plane problems - Infinite plate problem and Kirsch solution
14.
Elastostatic plane problems - Infinite plane with a uniform body force in a circular region
15.
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.
なし
Homework - 20%, Quizzes - 20% and Final exam - 60%
月曜日,火曜日および木曜日の16:00-19:00をオフィスアワーとして質問を受付けています。e-mail:anil@cv.titech.ac.jp
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