- Lecturer
- Wijeyewickrema Anil
- Place
- Fri7-8(M112)
- Credits
- Lecture2 Exercise0 Experiment0
- Code
- 61048
- Syllabus updated
- 2009/9/28
- Lecture notes updated
- 2009/9/28
- Semester
- Fall Semester
Outline of lecture
(A) Finite Elastic Deformations
ｼ托ｼ擦artesian tensors and tensor algebra, ｼ抵ｼ錆inematics, ｼ難ｼ札eformation and strain rates, ｼ費ｼ惨tress tensors and conjugate stress analysis, ｼ包ｼ擦onstitutive laws
(B) Anisotropic Elasticity
(1). Linear anisotropic elasticity, (2). Lekhnitskii formalism, (3). Stroh formalism
Purpose of lecture
Non-linear elastic behavior is studied in detail. Anisotropic elasticity will also be introduced.
Plan of lecture
1.
Finite Elastic Deformations -- Mathematical preliminaries (Cartesian tensors)
2.
Finite Elastic Deformations -- Mathematical preliminaries (Tensor algebra)
3.
Finite Elastic Deformations -- Kinematics (Configurations and motions)
4.
Finite Elastic Deformations -- Kinematics (Deformation gradient and deformation of volume and surface elements)
5.
Finite Elastic Deformations -- Kinematics (Strain, stretch, extension and shear)
6.
Finite Elastic Deformations -- Kinematics (Geometrical interpretation of the deformation)
7.
Analysis of motion -- Deformation and strain rates
8.
Balance laws
9.
Stress tensors -- Cauchy stress tensor
10.
Stress tensors -- Nominal stress tensor
11.
Conjugate stress analysis
12.
Constitutive laws
13.
Anisotropic Elasticity -- Linear anisotropic elasticity
14.
Anisotropic Elasticity -- Lekhnitskii formalism
15.
Anisotropic Elasticity -- Stroh formalism
Textbook and reference
Holzapfel, G. A., 2001, 窶廸onlinear solid mechanics窶, John Wiley, Chichester.
Ogden, R. W., 1984, 窶廸on-linear elastic deformations窶, Ellis Horwood, Chichester, also published by Dover publications, New York in 1997.
Ting, T. C. T., 1996, 窶廣nisotropic elasticity窶, Oxford University Press, New York.
Related and/or prerequisite courses
Students should have previously followed a course on Fundamentals of Elasticity or Introduction to Solid Mechanics.
Evaluation
Homework - 20%, Quizzes - 20% and Final exam - 60%
