Abstract
ABSTRACTDynamic steady-state fracture in 3D of an unbounded, coupled thermoelastic solid is considered. Fracture is brittle and results from the wedging effect of a rigid die that slides between surfaces of an initially closed, semi-infinite slit. Friction is neglected, and the possibility that slit surfaces resume contact in the wake of the die is considered. For subcritical rate of sliding and resultant slit extension, an asymptotic solution is obtained in analytic form. A dynamic energy release rate criterion, with kinetic energy included, is imposed. The result is a relation between parameters for locations of slit edge, slit closure, and contact zone, in the form of a nonlinear differential equation. The mathematical norm of temperature change is also developed and indicates that thermal response near the slit edge is highly dependent on the relative distances of slit edge and closure contour from the die.
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