StressStrain Relationships

1
Stress-Strain Relationships

• Linear elastic materials
• A simple relationship assuming constant
  elasticity
• Viscoelasticity
• Elastic properties combined with viscous
  properties a differential (or integral) equation

2
Navier-Stokes Equations

• So far proved mathematically intractable
• 1,000,000 prize being offered for proof of
  existence smoothness of the Navier-Stokes
  equation-see www.claymath.org

3
Further Work-Turbulence Modelling

• Simulate turbulence directly
• DNS Direct Numerical Simulation
• Simulate some turbulence directly
• LES Large Eddy Simulation
• Just model everything
• Artificial construct to reproduce turbulence
  effects
• k-?, k-?, etc.