3.91 | Spring 2007 | Graduate
Mechanical Behavior of Plastics


Each assignment is due during the next class session.

1 Introduction, overview of polymers (PDF)
2 Chemical composition
3 Structure
4 Elastic response (PDF)
5 Strain
6 Stress
7 Transformations of stress and strain (PDF)
8 Hookean elasticity (PDF)
9 Gaussian chain statistics
10 Rubber elasticity (PDF)
11 Elastomer mechanics (PDF)
12 Introduction to linear viscoelasticity (PDF)
13 Creep and stress relaxation
14 Quiz 1
15 Dynamic response (PDF)
16 The Maxwell spring-dashpot model
17 Standard linear solid (PDF)
18 Wiechert solid, Boltzman superposition (PDF)
19 Effect of temperature (PDF)
20 Effect of temperature (cont.) (PDF)
21 Multiaxial stresses (PDF)
22 Stress analysis: Superposition
23 Stress analysis: Correspondence principle (PDF)
24 Composite materials, rule of mixtures (PDF)
25 Mechanics of composites (PDF)
26 Quiz 2
27 Composite laminates: Anisotropy and transformations (PDF)

Laminates: Plate bending (PDF)

Fortran code

To run in MIT Server, type “add 3.11”, then “plate”

Download plate source code: vplate_3_91.f90 (F90)

Download a PC executable: vplate2.exe (EXE)


Laminates: Temperature and viscoelastic effects


Source code for temperature-dependent laminate analysis: HOTPLATE.FOR (FOR)

Hotplate PC executable: HOTPLATE.EXE (EXE)

Source code for viscoelastic laminate analysis: plate07.f90 (F90)

Vplate PC executable: plate07.exe (EXE)

30 Yield (PDF)
31 Yield: Multiaxial stresses
32 Yield: Effect of hydrostatic stress, crazing
33 Yield: Effect of rate and temperature (PDF)
34 Fracture: The Zhurkov model
35 Fracture: The Griffith model
36 Fracture: Crack-tip stresses, stress intensity factor
37 Quiz 3
38 Fracture: Effect of specimen geometry
39 Fracture: J-integral and viscoelasticity