Course Policy:

Major Exam         - 40%

Mid-Term Exam  - 30%

Quizzes                 - 20%

Assignments        - 10%

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

Reference book: Continuum mechanics by A.J.M. Spencer. 

Lecture Notes:

Lecture 0: Introductory Lecture  Class Notes

Lecture 1: Concept of Vector Space Class Notes

Lecture 2: Linear Transformations Class Notes

Lecture 3: Properties of Linear Transformations Class Notes

Lecture 4: Calculus of Tensor Fields Class Notes

Lecture 5: Tutorial Session Class Notes

Exam I: Quiz I 

Lecture 6: Kinematics of Deformations Class Notes

Lecture 7: Concept of Deformation Gradient Class Notes

Lecture 8: Shear Strains Class Notes

Lecture 9: Relation between deformed and undeformed volume & area, Polar Decomposition  Class Notes

Lecture 10: Different Strain Measures in large deformations Class Notes

Lecture 11: Linear Momentum Balance (LMB) in Lagrangian framework Class Notes

Exam II: Mid-Term Exam

Lecture 12:  Different stress measures Class Notes

Lecture 13:  Constitutive relations Class Notes

Lecture 14: Material Objectivity Class Notes

Lecture 15: Material Symmetry Class Notes

Lecture 16: Energy conjugates Class Notes

Lecture 17: Constitutive relations for linear elasticity Class Notes

Exam III: Quiz II

Lecture 18: Boundary conditions Class Notes

Lecture 19: LMB in cylindrical coordinates Class Notes

Lecture 20: Theroy of rods Class Notes

Lecture 21: Strain measures in Special Cosserat rod Class Notes

Lecture 22: LMB and AMB of rods Class Notes

Lecture 23: Material Objectivity in rods and constitutive relations + Tutorial Class Notes

Lecture 24: Balance equations posed as 1st order ODEs  Class Notes

Exam IV: End-Term Exam

Assignments:

Assignment 1 (due date: 18th Aug 2022)
Assignment 2 (due date: 15th Sep 2022)
Assignment 3 (due date: 19th Oct 2022)

Bending Simulations of rod (by Aman Gautam)