Name of Lecture |
Advanced Course on Elasticity Theory |
| Lecturer |
Assoc. Prof. Anil C. WIJEYEWICKREMA |
Syllabus |
[Aims and Scope]
Non-linear elastic behavior is studied in detail. Anisotropic elasticity will also be introduced.
[Outline]
- Finite Elastic Deformations -- Mathematical preliminaries (Cartesian tensors)
- Finite Elastic Deformations -- Mathematical preliminaries (Tensor algebra)
- Finite Elastic Deformations -- Kinematics (Configurations and motions)
- Finite Elastic Deformations -- Kinematics (Deformation gradient and deformation of volume and surface elements)
- Finite Elastic Deformations -- Kinematics (Strain, stretch, extension and shear)
- Finite Elastic Deformations -- Kinematics (Geometrical interpretation of the deformation)
- Analysis of motion -- Deformation and strain rates
- Balance laws
- Stress tensors -- Cauchy stress tensor
- Stress tensors -- Nominal stress tensor
- Conjugate stress analysis
- Constitutive laws
- Anisotropic Elasticity -- Linear anisotropic elasticity
- Anisotropic Elasticity -- Lekhnitskii formalism
- Anisotropic Elasticity -- Stroh formalism
[Evaluation] Home Work Assignments and Examination
[Texts] Holzapfel, G. A., 2001, “Nonlinear solid mechanics”, John Wiley, Chichester.
Ogden, R. W., 1984, “Non-linear elastic deformations”, Ellis Horwood, Chichester, also published by Dover publications, New York in 1997. Ting, T. C. T., 1996, “Anisotropic elasticity”, Oxford University Press, New York.
[Prerequisites] Students should have previously followed a course on Fundamentals of Elasticity or Introduction to Solid Mechanics. |
