A semi-infinite plane crack is at rest in an unbounded, transversely
isotropic, thermoelastic solid. A finite region on each crack face is
subjected to compression and shear stresses of constant magnitude
, and
translates with constant speed at right angles to the initial crack edge. The speed is
rapid, but subcritical. Fracture occurs, accompanied by thermal convection on
the crack faces. A dynamic steady state ensues, so that the crack edge is
no longer rectilinear, but growth rate and translation speeds are identical.
Analytical results, based on a robust asymptotic form of 3D field equation
integral transforms, shows clearly the role of convection in solution behavior.
The enhancement — and generation — of exponential/sinusoidal behavior is
noted.
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