Schedule and Notes
| Week | Dates Topics | Notes | Assignments |
| 1 |
Jan. 5:
Scope of the course Concept of stress and strain Jan. 7: Coordinate transformation of stress and strain Jan. 7: Introducing Matlab; animation of the lower arm lifting a weight (at 5 pm by the TA; we have BSSE Annual Symposium on 8th; hence changed to 7th) |
A "refresher" problem set on classical mechanics Coordinate transformation of stress |
Homework #1 |
| 2 |
Jan. 12:
Strain measures
Jan. 14: Strain transformation Constitutive relations Jan. 15: Inverse kinematics of a two-jointed planar arm Jan. 16: Matlab lectures from 09:00 am to 12:30 pm in ME-MMCR by Anish RoyChowdhury |
|
- |
| 3 |
Jan. 19:
Constitutive relations (contd.)
Jan. 21: No class Jan. 22: Problems on stress and strain transformation and constitutive relations | - | Homework #2 |
| 4 |
Jan. 26:
No class on account of the Repulic Day
Jan. 29: Static equilibrium in 1D, 2D, and 3D; thin cylindrical shells Jan. 22: 3D stress and strain transformation | - | - |
| 5 |
Feb. 2:
Thin spherical shell Thick cylndrical shells and its implications in stress concentration, interference fits, and rotating cylinders Feb. 4: Axial deformation of slender members Feb. 5: Numerical problems in shells |
More on thick shells |
Homework #3 |
| 6 |
Feb. 9:
Torsion of circular cylinders; stress and twist.
Feb. 11: Tutorial on finite element analysis software Feb. 12: A numerical problem on combined torsion and axial force |
Static failure: part 2 Static failure: part 3 |
Homework #4 |
| 7 |
Feb. 16:
Static failure theories
Feb. 18: Beam theory Feb. 19: Second session on COMSOL finite element analysis software |
|
Homework #5 |
| 8 |
Feb. 23:
Beam theory (contd.)
Feb. 25: Column buckling Feb. 26: Beam problems; curved beam problem |
|
Practice problems |
| 9 |
Mar. 1:
Dynamics of a spring-mass-damper model
Mar. 3: Response of a viscoelastic material: creep and relaxation Mar. 4: A problem on vibrations |
|
- |
| 10 |
Mar. 8:
Discussion of a dozen problems in view of the mid-term review
Mar. 10: Midterm examination |
|
- |
| 11 |
Mar. 15:
1D Viscoelasticity; concepts of stress relaxation and creep
Mar. 17: Mechanical analogs of viscoelasticity; Hamilton's principle; Lagrngian and Rayleigh's dissipation function Mar. 11: Viscoelastic modeling example |
|
- |
| 12 |
Mar. 22:
Class cancelled
Mar. 25: Stress relaxation function and creep function equations using equation of motions approach Mar. 26: Midterm (re-test) |
|
- |
| 13 |
Mar. 29:
Standrad linear solid and its evaluation in creep and stress-relaxation experiments
Mar. 31: Introduction to cytoskeleton and motor proteins by Dr. Vaishnavi Ananthanarayanan Apr. 1: Odd-numbered problems in Chapters 1 and 2 of "Polymer Mechanics" by Wineman and Rajagopal |
Cytoskeleton and motor proteins |
Homework #6 |
| 14 |
Apr. 4:
Mechanical forces on proteins Boltzmann distribution and equipartition of energy Apr. 5: Diffusion and thermal forces Apr. 7: Chemical forces on proteins |
Derivation of the Boltzmann Equation Why is there a pi in the solution of the Green's function of the diffusion equation? |
Homework #7 |
| 15 |
Apr. 11:
Polymerization of cytoskeletal filaments
Apr. 12: Active polymerization Apr. 14: Speeds, forces, and steps of molecular motors |
Speeds of Motors and Steps and Forces Putting theory into practice: data from real experiments |
Homework #8 |