Highly Influenced

# 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} }

- Published 2002 in SIAM Journal of Applied Mathematics
DOI:10.1137/S0036139901388234

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