Impact-Induced Tensile Waves in a Rubberlike Material

@article{Knowles2002ImpactInducedTW,
  title={Impact-Induced Tensile Waves in a Rubberlike Material},
  author={James K. Knowles},
  journal={SIAM Journal of Applied Mathematics},
  year={2002},
  volume={62},
  pages={1153-1175}
}
This paper concerns the propagation of impact-generated tensile waves in a onedimensional bar made of a rubberlike material. Because the stress-strain curve changes from concave to convex as the strain increases, the governing quasi-linear system of partial differential equations, though hyperbolic, fails to be “genuinely nonlinear” so that the standard form of the boundary-initial value problem corresponding to impact is not well-posed at all levels of loading. When the problem fails to be… CONTINUE READING