Sudden Extension of a Crack in an Elastic Solid.
Abstract
A particular motion of a half plane crack in an elastic solid subjected to general loading is considered. The loading is prescribed so that the mode of deformation of the crack is the plane strain opening mode. The crack is initially at rest and then, at a certain instant, begins to move with a constant velocity which is less than the Rayleigh wave speed. A fundamental solution is derived for particular loading on the body which makes it possible to obtain the solution for the complete dynamic stress field due to crack extension by linear superposition. The details of the solution are worked out for the dynamic stress intensity factor for th moving crack. It is found that the stress intensity factory varies almost linearly with crack speed, from the static value at zero speed to zero at the Rayleigh wave speed. Some numerical results are also presented for the shape of the crack tip as a function of crack speed. Finally, the energy release rate of the moving crack tip is plotted as a function of crack tip speed. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1971
- Accession Number
- AD0732269
Entities
People
- Lambert Ben Freund
Organizations
- Brown University