### Introduction to Solid Mechanics   Introduction to Solid Mechanics

WIJEYEWICKREMA ANIL CHRISTOPHER

61065
シラバス更新日
2012年3月26日

2012年3月26日

### 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.

なし

### 成績評価

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

### その他

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))