Wedging of an elastic body by a slender wedge moving with a constant super-Rayleigh subsonic velocity

✍ Scribed by G. I. Barenblatt; R. V. Goldstein

• Publisher: Springer Netherlands
• Year: 1972
• Tongue: English
• Weight: 571 KB
• Volume: 8
• Category: Article
• ISSN: 1573-2673
• DOI: 10.1007/bf00191104

✦ Synopsis

The problem of the wedging of an elamc body by a slender wedge moving with a speed between that of Rayleigh surface waves and the velocity of transverse elastic waves is considered.

It is shown that at a super-Rayleigh velocity of wedge motion the statement of the elastic problems becomes different in comparison with the sub-Rayleigh case : no free crack is formed ahead of the wedge, the contact of the wedged body is maintained at the wedge head surface only. At some distance from the leading edge of the wedge the wedged body separates from the wedge surface and the elastic body surface behind the separation point becomes free from stress. There occurs in this case "free-streamline flow" of the wedged elastic body around the wedge which is accompanied, in contrast with sub-Rayleigh case, with the radiation of energy from the wedge head to the infinity. Appearance of compressive stresses ahead of the wedge, also in contrast with the sub-Rayleigh case suggests that the nature of the wedged body fracture changes with the transition of the wedge velocity from a sub-Rayleigh to a super-Rayleigh one.