Impact-induced tensile waves in a kind of phase-transforming materials

Details Impact-induced tensile waves in a kind of phase-transforming materials Impact-induced tensile waves in a kind of phase-transforming materials

2010-07-23

arxiv.org/abs/1007.4227v1

Physics

Mathematical Physics

14 pages; 5 figures; submitted to IMA Journal of Applied Mathematics

Scientific paper

This paper concerns the global propagation of impact-induced tensile waves in a kind of phase-transforming materials. It is well-known that the governing system of partial differential equations is hyperbolic-elliptic and the initial-boundary value problem is not well-posed at all levels of loading. By making use of fully nonlinear stress-strain curve to model this material, Dai and Kong succeeded in constructing a physical solution of the above initial-boundary value problem. For the impact of intermediate range, they assumed that $\beta<3\alpha$ in the stress-response function for simplicity. In this paper, we revisit the impact problem and consider the propagation of impact-induced tensile waves for all values of the parameters $\alpha$ and $\beta$. The physical solutions for all levels of loading are obtained completely.

Affiliated with

Also associated with

No associations

Rating

Impact-induced tensile waves in a kind of phase-transforming materials does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Impact-induced tensile waves in a kind of phase-transforming materials, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Impact-induced tensile waves in a kind of phase-transforming materials will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-368861