Lecture Notes

Introduction and Overview of Polymers
  • Introduction (PDF)

Chemical Composition

  • Addition polymerization (PDF)
  • Addition kinetics (PDF)
  • Copolymerization (PDF)
  • Stereochemical control (PDF)
  • Condensation polymerization (PDF)
  • Condensation kinetics (PDF)

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)

Elastic Response

  • Stress and strain (PDF)
  • Pressure vessels (PDF)
  • Torsion of circular shafts (PDF)

Strain

  • Infinitesimal strain (PDF)
  • Extension ratio (PDF)
  • Finite strain (PDF)
  • A constitutive law (PDF)

Stress, Transformations of Stress and Strain, and 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)

Gaussian Chain Statistics and 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

Elastomer Mechanics

  • Compression of a silicone rubber tube (PDF)

Introduction to Linear Viscoelasticity

  • Introduction to viscoelasticity (PDF)

Creep and Stress Relaxation

  • Viscoelastic tensile tests (PDF)

Dynamic Response

  • Dynamic loading (PDF)

The Maxwell Spring-Dashpot Model

  • Approaches to modeling (PDF)
  • The Maxwell model (PDF)

Standard Linear Solid

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

Wiechert Solid and Boltzman Superposition

  • The Wiechert model (PDF)
  • Shapery collocation (PDF)
  • Relation to ordinary differential equations (PDF)
  • The Boltzman integral (PDF)

Effect of Temperature

  • Time-temperature superposition (PDF)
  • The Williams-Landel-Ferry (WLF) equation (PDF)
  • "Effective" time (PDF)
  • Physical aging (PDF)

Multiaxial Stresses

  • An example of viscoelastic modeling - Ultrasonic consolidation (PDF)
  • Consititutive equations - 3D (PDF)
  • Hydrostatic and shear response (PDF)

Stress Analysis: Superposition

  • Example: Torsion of a circular shaft (PDF)
  • Three cases for time dependency (PDF)
  • Maple calculation (PDF)

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

Composite Materials and Rule of Mixtures

  • Properties (PDF)
  • Processing
  • Netting analysis (PDF)
  • Micromechanics - Stiffness (PDF)
  • Micromechanics - Strength (PDF)

Strength of Composites

  • Thermoset matrices (PDF)
  • Thermoplastic matrices (PDF)
  • Short-fiber composites (PDF)
  • Shear lag theory (PDF)