Engineering constants

Many different forms of constants are used to describe the two degrees of freedom in an isotropic material. For reference, the conversions are:

• Lamé constants:

  $$\mu = \frac{E}{2(1 + \nu)}$$ (2.69)

  
  

  $$\lambda = \frac{\nu E}{(1 + \nu)(1 - 2 \nu)}$$ (2.70)

  
  

• Young's modulus:

  $$E = \frac{\mu(2\mu + 3\lambda)}{\mu + \lambda}$$ (2.71)

  
  

• Poisson's ratio:

  $$\nu = \frac{\lambda}{2(\mu + \lambda)}, -1 < \nu < \frac{1}{2}$$ (2.72)