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## Summary:

- Finding Force and Energy from an indentation into a volume. Includes a theoretical experiment/problem with multiple known values.

Hello folks, a recent theoretical discussion with a materials engineer has left my head spinning, this sort of thing is beyond me but I am curious if any of the clever folks on here could solve my problem.

I want to find the Force and Energy applied by my Indenter within the following parameters;

I have been offered this paper, Eq. (15.5) to try and help me but this math is well beyond me, I can just about work out force from pressure/surface area, let alone volume and mechanical calculus and even then, that is with online calculators.

Many thanks for any help with this, props if anyone knows of a calculator that can help me at least part way. I may want to find the force/energy values but for different materials, specifically brass, granite, limestone, sandstone and possibly steel.

I want to find the Force and Energy applied by my Indenter within the following parameters;

**Iron block that will be indented;**- Block material - iron, hardness 490 MPa.
- Dimensions, 1 cubic meter.
- Rests on flat stone, will not move from rest upon impact by indenter.

**Indenter**- A 8 inch, 0.95 radius solid cone with an area of 26.88 square inches.
- For the sake of argument, the indenter is functionally indestructible, enough so to complete the experiment without itself shattering or shearing.
- The indenter cone indents vertically into the iron block 8 inches (its full length) within 1 second.

**Force in newtons**required to make the impact, and the**energy in joules**.I have been offered this paper, Eq. (15.5) to try and help me but this math is well beyond me, I can just about work out force from pressure/surface area, let alone volume and mechanical calculus and even then, that is with online calculators.

Many thanks for any help with this, props if anyone knows of a calculator that can help me at least part way. I may want to find the force/energy values but for different materials, specifically brass, granite, limestone, sandstone and possibly steel.