A Crack Extending Non-Uniformly in an Elastic Solid Subjected to General Loading
Technical rept. Jun-Oct 1971
BROWN UNIV PROVIDENCE RI DIV OF ENGINEERING
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The stress intensity factor of a half-plane crack extending non- uniformly in an isotropic elastic solid subjected to general loading is determined. The loading is applied in such a way that a state of plane strain exists. and that crack extension takes place in mode I. The crack tip is initially at rest, and then moves in an arbitrary way in the plane of the crack. In the process of obtaining the stress intensity factor, the complete elastic field is determined for a crack which starts from some initial position, extends at a constant rate for some time, and then suddenly stops. Once the stress intensity factor is known for arbitrary motion of the crack tip, the Griffith fracture criterion is applied to obtain an equation of motion for the crack tip which is consistent with the assumptions of this criterion. Numerical results are included for the stress intensity factor and for the velocity-dependent term in the equation motion.
- Solid State Physics