- Lecturer
- Wijeyewickrema Anil
- Place
- Thr5-6(M112)
- Credits
- Lecture2 Exercise0 Experiment0
- Code
- 61065
- Syllabus updated
- 2009/3/30
- Lecture notes updated
- 2009/3/30
- 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
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
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
縺ｪ縺
Evaluation
Homework - 20%, Quizzes - 20% and Final exam - 60%
Comments from lecturer
譛域屆譌･ｼ檎↓譖懈律縺翫ｈ縺ｳ譛ｨ譖懈律縺ｮ16:00-19:00繧偵が繝輔ぅ繧ｹ繧｢繝ｯ繝ｼ縺ｨ縺励※雉ｪ蝠上ｒ蜿嶺ｻ倥¢縺ｦ縺縺ｾ縺吶Ｆ-mail:anil@cv.titech.ac.jp
Supplement
髢｢騾｣縺吶ｋ蟄ｦ鄙呈蕗閧ｲ逶ｮ讓
C(http://www.cv.titech.ac.jp/class/objective_ug.html#kyouikumokuhyou(C)),E(http://www.cv.titech.ac.jp/class/objective_ug.html#kyouikumokuhyou(E))
