Viscoelasticity & Rheo. of Bio. Mat.
- Introduction: history of mechanics of materials and rheology; creep, relaxation, hysteresis, strain-rate dependence, and anisotropy in biological materials
- Continuum mechanics and constitutive principles: kinematics, stress and strain measures, balance laws, objectivity, material symmetry, and thermodynamic restrictions
- Overview of constitutive models: elastic, hyperelastic, and Newtonian
- Basic viscoelastic models: Maxwell, Kelvin-Voigt, standard linear solid, and mechanical analogs
- Creep and relaxation: response functions, Boltzmann superposition, and differential and integral forms
- Generalized models and spectra: Prony series, relaxation and retardation spectra, and extraction from data
- Dynamic behavior: oscillatory response, complex modulus, storage and loss moduli, tan , energy dissipation, and time-temperature superposition
- Measurement and parameter identification: rheometry, DMA, indentation and AFM, artifacts, and model fitting
- Nonlinear shear behavior: generalized Newtonian fluids, yield stress, thixotropy, and normal stress differences
- Nonlinear viscoelastic fluids and extensional flow: upper convected Maxwell model and the equation of state, extensional viscosity, and the Trouton ratio
- Nonlinear viscoelasticity of solids: where linearity breaks down; Green-Rivlin, K-BKZ, and Schapery approaches
- Quasi-linear viscoelasticity (QLV): Fung's formulation, the reduced relaxation function, and identification from tissue data
- Biorheology and applications: blood rheology, arterial and venous flow, pulsatile effects, soft tissues and muscle; course review