- 使用教室
- 木5-6(M112)
- 単位数
- 講義：2 演習：0 実験：0
- 講義コード
- 61065
- シラバス更新日
- 2009年3月30日
- 講義資料更新日
- 2009年3月30日
- 学期
- 前期
講義概要
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.
講義の目的
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.
講義計画
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
教科書・参考書等
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.
関連科目・履修の条件等
なし
成績評価
Homework - 20%, Quizzes - 20% and Final exam - 60%
担当教員の一言
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
その他
関連する学習教育目標
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))
