Special Topics (Theory of Viscoelasticity)
- A brief reminder for solving differential equations, the Laplace transform and integration methods
- Introducing viscoelastic constitutive functions including relaxation modulus and creep compliance and the method for evaluating these functions in the laboratory
- Introducing creep and relaxation tests for pavement materials
- Introducing the Boltzmann superposition principle
- Developing constitutive equations of viscoelasticity (stress - strain relation) based on Boltzmann superposition principle
- Introducing correspondence principle
- Solving some examples of viscoelastic problems based on existing elastic solutions by implementing correspondence principle
- Developing equations for responses of viscoelastic materials to harmonic loading to represent dynamic modulus and phase angle of bituminous materials
- Introducing the concepts of storage modulus and loss modulus
- Introducing stress - strain relations for viscoelastic materials based on differential constitutive equations (springs and dashpots model)
- Introducing the most important spring-dashpot models including the Maxwell, the Kelvin, the Burgers, the generalized Maxwell and Kelvin models, and etc
- Introducing the concept of Prony series and relaxation time
- Time-Temperature-Loading rate superposition and thermorheological behavior of viscoelastic materials
- Master curve, its construction based on some real cases of bituminous materials
- Introducing shift function and well-known shift functions for bituminous materials like WLF and Arrhenius
- Numerical interconversion methods
- Introducing nonlinear viscoelasticity based on Schaperys equations