The practical application is response of a cushion in a pile driver. All such cushions are compressed axially. Cushions are circular discs of fibre-reinforced synthetic resin; some types are solid and others have a hole at the centre.
When a disc with a centre hole is compressed axially, will the hole get larger, smaller, or not change?
Consider two cases:
(1) at low strain where the slope of the resin's stress-strain curve is constant
(2) at high strain past the yield point where the slope of the stress-strain curve decreases
Dear Marshall,
I feel the stiffness of a circular disc with hole is less as compared to the solid circular disc..so the stress concentration will be more in case of the disc with hole than compared to the disc without hole..
For the mentioned application the hole will not change in diameter. Neglecting the localized effect near the hole the stiffness will remain nearly the same.This is provided that the ratio of the hole diameter to the disc diameter is small. for large ratios the disc will change to a ring with substantially lower stiffness.
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