## Prerequisite Knowledge for BENG 226

You need to have firm working knowledge of the following fundamental definitions and concepts in Biomechanics:

- first order and second partial differential equations
- use of tensor index notation
- orthogonal transformations
- material derivatives
- material derivative of a volume integral
- physics of gases, liquid – solid phases
- chemical concentrations, partial pressure of mixtures
- resultant force and moments
- inertial, viscous forces
- stress and stress deviator components, pressure
- traction vector to describe internal forces, Cauchy relationship
- principal stress, principal directions, invariants
- strain, strain – displacement relationship
- rate of deformation tensor
- basic material properties: isotropy
- constitutive equations for linear fluids and solids
- conservation of mass
- conservation of momentum, equilibrium conditions
- Navier equations for an isotropic solid
- Navier Stokes equations for an incompressible fluid

Dr. McCulloch's Continuum Mechanics Review notes