Calendar

DAY #   TOPICS LECTURE NOTES READINGS PROBLEM SETS EXAMS
1 Introduction and Overview of Polymers
  • Introduction (PDF)
2 Chemical Composition
  • Addition Polymerization (PDF)
  • Addition Kinetics (PDF)
  • Copolymerization (PDF)
  • Stereochemical Control (PDF)
  • Condensation Polymerization (PDF)
  • Condensation Kinetics (PDF)
Ward pp. 1-4
3 Structure
  • Molecular Weight and GPC (PDF)
  • WAXS, PE Crystal
  • DSC of PE and PP
  • Fringed Micelles, Lamellae (PDF)
  • Spherulites, Maltese Cross
  • Orientation Processing (PDF)
  • High Modulus Fibers (PDF)
Ward pp. 4-17
4 Elastic Response
  • Stress and Strain (PDF)
  • Pressure Vessels (PDF)
  • Torsion of Circular Shafts (PDF)
Module 1 pp. 1-8 Problem Set 1.8 (PDF)
5 Strain
  • Infinitesimal Strain (PDF)
  • Extension Ratio (PDF)
  • Finite Strain (PDF)
  • A Constitutive Law (PDF)

Ward pp. 20-22 & 25-26
Module 8 pp. 1-7

6 Stress
  • Stress Tensor (PDF)
  • Equilibrium Equations for Stresses (PDF)
  • Stress Transformation (Mohr's Circle) (PDF)
  • Matrix Form  of 2D Transformations (PDF)
  • Tensor Transformation (PDF)
  • Principal Stresses (PDF)
  • Hookean Constitutive Equations (PDF)
  • Matrix Form of Constitutive Equations (PDF)
  • Dissociation of Stress and Strain Tensors (PDF)
  • Summary of Governing Equations of Elasticity (PDF)

Ward pp. 18-20
Module 9 pp. 1-5

7 Transformations of Stress and Strain
  • Stress Tensor (PDF)
  • Equilibrium Equations for Stresses (PDF)
  • Stress Transformation (Mohr's circle) (PDF)
  • Matrix Form of 2D Transformations (PDF)
  • Tensor Transformation (PDF)
  • Principal Stresses (PDF)
  • Hookean Constitutive Equations (PDF)
  • Matrix form of Constitutive Equations (PDF)
  • Dissociation of Stress and Strain Tensors (PDF)
  • Summary of Governing Equations of Elasticity (PDF)
Module 10 pp. 1-4 & 8-10 Problem Set 10.6 (PDF)
8 Hookean Elasticity
  • Stress Tensor (PDF)
  • Equilibrium Equations for Stresses (PDF)
  • Stress Transformation (Mohr's circle) (PDF)
  • Matrix Form of 2D Transformations (PDF)
  • Tensor Transformation (PDF)
  • Principal Stresses (PDF)
  • Hookean Constitutive Equations (PDF)
  • Matrix Form of Constitutive Equations (PDF)
  • Dissociation of Stress and Strain Tensors (PDF)
  • Summary of Governing Equations of Elasticity (PDF)

Ward pp. 23-24
Module 11 pp. 1-6

Problem Set 11.2 (PDF)
9 Gaussian Chain Statistics
  • The Freely-Jointed Chain (PDF)
  • 1-D Random Walk (PDF)
  • The Gaussian Chain (PDF)
  • Uniaxial and Biaxial Extension (PDF)
  • Temperature Rise - 1-D Stretching (PDF)
  • Spherical Balloon (PDF)
Ward pp. 32-36
10 Rubber Elasticity
  • The Freely-Jointed Chain (PDF)
  • 1-D Random Walk (PDF)
  • The Gaussian Chain (PDF)
  • Uniaxial and Biaxial Extension (PDF)
  • Temperature Rise - 1-D Stretching (PDF)
  • Spherical Balloon (PDF)

Ward pp. 36-40
Module 2 pp. 7-15

11 Elastomer Mechanics
  • Compression of a Silicone Rubber Tube (PDF)
Module 6
12 Introduction to Linear Viscoelasticity
  • Introduction to Viscoelasticity (PDF)

Ward pp. 45-47
Module 19 pp. 1-3

Problem Set 19.1 & 2 (PDF)
13 Creep and Stress Relaxation
  • Viscoelastic Tensile Tests (PDF)

Ward pp. 48-50
Module 19 pp. 4-6

14

Quiz 1

  • Example Questions (PDF)
  • Solution: McCrum Problem 3.6 (PDF)
  • Quiz Questions (PDF)
15 Dynamic Response
  • Dynamic Loading (PDF)

Ward pp. 62-65
Module 19 pp. 6-8

Problem Set 19.4 (PDF)
16 The Maxwell Spring-Dashpot Model
  • Approaches to Modeling (PDF)
  • The Maxwell Model (PDF)

Ward pp. 55-58
Module 19 pp. 8-11

17 Standard Linear Solid
  • The Maxwell Standard Linear Solid (SLS) (PDF)
  • Three important Applications of the Maxwell SLS (PDF)

Ward pp. 58-60
Module 19 pp. 11-16

Problem Set 19.6-8 (PDF)
18 Wiechert Solid and Boltzman Superposition
  • The Wiechert Model (PDF)
  • Shapery collocation (PDF)
  • Relation to Ordinary Differential Equations (PDF)
  • The Boltzman integral (PDF)

Ward pp.51-55
Module 19 pp. 17-19

Problem Set 19.11 (PDF)
19 Effect of Temperature
  • Time-Temperature Superposition (PDF)
  • The Williams-Landel-Ferry (WLF) Equation (PDF)
  • "Effective" Time (PDF)
  •  Physical Aging (PDF)
Module 19 pp. 19-23 Problem Set 19.17 & 18 (PDF)
20 Temperature Effects Continued Ward pp. 84-93 & 97-102 Problem Set 19.19 (PDF)
21 Multiaxial Stresses
  • An Example of Viscoelastic Modeling - Ultrasonic Consolidation (PDF)
  • Consititutive equations - 3D (PDF)
  • Hydrostatic and shear response (PDF)
Module 19 pp. 23-26 Problem Set 19.20 (PDF)
22 Stress Analysis: Superposition
  • Example: Torsion of a Circular Shaft (PDF)
  • Three Cases for Time Dependency(PDF)
  • Maple Calculation (PDF)
Module 19 pp. 26-28
23 Stress Analysis: Correspondence Principle
  • Superposition in the Laplace Plane (PDF)
  • The Correspondence Principle (PDF)
  • Closed-End Pressure Vessel (Ex. 9.14) (PDF)
  • Viscoelastic Finite Elements (PDF)
  • Viscoelastic Fiber Impact
Module 19 pp. 28-31 Problem Set 19.21 & 22 (PDF)
24 Composite Materials and Rule of Mixtures
  • Properties (PDF)
  • Processing
  • Netting Analysis (PDF)
  • Micromechanics - Stiffness (PDF)
  • Micromechanics - Strength (PDF)

Ward pp. 141-149
Module 3 pp. 1-4

Problem Set 3.1 & 2 (PDF)
25 Strength of Composites
  • Thermoset Matrices (PDF)
  • Thermoplastic Matrices (PDF)
  • Short-Fiber Composites (PDF)
  • Shear Lag Theory (PDF)

Ward pp. 149-154
Module 3 pp. 4-5

Problem Set 3.3 (PDF)
26 Quiz 2 (PDF)
27 Composite Laminates: Anisotropy and Transformations Module 15 pp. 1-6 Problem Set 15.1 & 2 (PDF)
28 Laminates: Plate Bending Module 15 pp. 6-13 Problem Set 15.5 (PDF)
29

Laminates: Temperature and Viscoelastic Effects

Module 15 pp. 11-16
30 Yield

Ward pp. 211-221
Module 4

Problem Set 4.8 (PDF)
31 Yield: Multiaxial Stresses

Ward pp. 222-224
Module 20 pp. 1-5

32 Yield: Effect of Hydrostatic Stress, Crazing

Ward pp. 224-229
Module 20 pp. 5-8

33 Yield: Effect of Rate and Temperature

Ward pp. 237-241
Module 20 pp. 8-10

34 Fracture: The Zhurkov Model

Ward pp. 269-271
Roylance Article (PDF)

35 Fracture: The Griffith Model

Ward pp. 246-253
Module 23 pp. 1-7

36 Fracture: Crack-Tip Stresses, Stress Intensity Factor Module 23 pp. 7-9
37 Fracture: Effect of Specimen Geometry Module 23 pp. 10-13
38 Fracture: J-Integral and Viscoelasticity