ME5110 Advanced Mechanics of Solids
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)