A steel strip ( ) of width and thickness is glued to a rigid block and is being…

PHYSICS · Multi-part · Fermi University Physics · Fluids & Continuum Physics · Solid continuum mechanics and complex fluids · Solid continuum mechanics and complex fluids

Bending, Ringing, Breaking and Flowing, Ch Fracture: stress concentration, cracks and toughness

Problem

A steel strip (

E=200\,\mathrm{GPa}

) of width

B=10\,\mathrm{mm}

and thickness

h=1.0\,\mathrm{mm}

is glued to a rigid block and is being peeled off by a force

F

at its free end, perpendicular to the block. A length

a

has already come away, and the glue needs

\mathcal{G}_c=100\,\mathrm{J\,m^{-2}}

to separate further. Treat the free length as a cantilever built in where the glue still holds. ((a)) Find the compliance

C=\delta/F

of the end, where

\delta

is the end's lift. ((b)) Find

\mathcal{G}

at fixed load and at fixed lift, and say under which the peel is stable. ((c)) For

a=50\,\mathrm{mm}

, find the force at which peeling starts and the lift at that moment.

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