Course Policy:

Major Exam         - 40%

Mid-Term Exam  - 30%

Quizzes                 - 20%

Assignments        - 10%

Office Hours: Tuesday 3 PM to 4 PM in my office C438. (other than this time, please email me to schedule an appointment)

Reference book:
An Introduction to Finite Elasticity
Continuum mechanics by A.J.M. Spencer. 

Lecture Notes:

Lecture 1: Introductory Lecture

Lecture 2: Concept of Vector Spaces

Lecture 3: Index notation

Lecture 4: Permutation Symbol

Lecture 5: Linear Transformation

Lecture 6: Applications of Linear Transformations

Lecture 7: Properties of Linear Transformations

Lecture 8: Change of basis

Lecture 9: Calculus of Tensor Fields

Lecture 10: Gauss Divergence Theorem

Lecture 11: Kinematics

Lecture 12: Tutorial 1

Lecture 13: Tutorial 2

Exam I: Quiz I

Lecture 14: Longitudinal Strain

Lecture 15: Shear Strain

Lecture 16: Linear Elastic strain

Lecture 17: Relation between deformed and undeformed volume, and Nanson's formula

Lecture 18: Kinetics: Part1

Lecture 19: Kinetics: Part 2

Lecture 20: Constitutive relations

Lecture 21: Material Objectivity

Exam II: Mid-Term Exam

Lecture 22: Polar Decomposition

Lecture 23: Stress Transformations 

Lecture 24: Material Symmetry

Lecture 25: Different forms of stresses

Lecture 26: Elasticity tensor in linear elasticity

Lecture 27: Elasticity tensor in linear elasticity (contd...)

Lecture 28: Isotropic Elasticity tensor

Lecture 29: Linear elasticity and boundary conditions

Lecture 30: Boundary Conditions

Lecture 31: LMB in cylindrical coordinates

Lecture 32: Boundary conditions in cylindrical coordinates

Lecture 33: Extension and torsion of circular rods

Lecture 34: Planar Bending

Lecture 35: Plane Strain

Lecture 36: Antiplane strain and plane stress

Lecture 37: Plane stress example

Lecture 38: Principle of minimum potential energy

Assignments:

Assignment 1 (due date: 11th Aug 2023)

Assignment 2 (due date: 25th Aug 2023)

Assignment 3 (due date: 10th Oct 2023)