(A) Finite Elastic Deformations
１．Cartesian tensors and tensor algebra, ２．Kinematics, ３．Deformation and strain rates, ４．Stress tensors and conjugate stress analysis, ５．Constitutive laws
(B) Anisotropic Elasticity
(1). Linear anisotropic elasticity, (2). Lekhnitskii formalism, (3). Stroh formalism
Non-linear elastic behavior is studied in detail. Anisotropic elasticity will also be introduced.
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
Stress tensors -- Cauchy stress tensor
Stress tensors -- Nominal stress tensor
Conjugate stress analysis
Anisotropic Elasticity -- Linear anisotropic elasticity
Anisotropic Elasticity -- Lekhnitskii formalism
Anisotropic Elasticity -- Stroh formalism
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.
Students should have previously followed a course on Fundamentals of Elasticity or Introduction to Solid Mechanics.
Homework - 20%, Quizzes - 20% and Final exam - 60%
Lecture notes and Assignments from http://www.cv.titech.ac.jp/~anil-lab/