The incompressible limit in nonlinear elasticity

@article{Schochet1985TheIL,
  title={The incompressible limit in nonlinear elasticity},
  author={Steven Schochet},
  journal={Communications in Mathematical Physics},
  year={1985},
  volume={102},
  pages={207-215}
}
AbstractThe incompressible limit in nonlinear elasticity is shown to fall under the theory of singular limits of quasilinear symmetric hyperbolic systems developed by Klainerman and Majda. Specifically, initial-value problems for a family of hyperelastic materials with stored energy functions $$W\left( {\frac{{\partial x}}{{\partial X}}} \right) = W_\infty \left( {\frac{{\partial x}}{{\partial X}}} \right) + \lambda ^2 w\left( {\det \frac{{\partial x}}{{\partial X}}} \right)$$ are considered… CONTINUE READING