Exact Analytical Durometer Hardness Scale Interconversion
Source abstract
Abstract
Abstract Previous work has related Young’s modulus to durometer hardness for any standardized scale. In this paper, we build on this work to solve explicitly and exactly for the hardness in any one standardized durometer hardness scale as a function of the hardness in any other target scale. We find that when the target scale is for a flat indenter, the conversion is algebraic and straightforward. However, when the target scale is for an indenter that is not flat (conical or hemispherical), the exact explicit analytical solution requires a power series inversion, said series involving beta functions and solutions to a set of integer equations. We complete our analysis with two worked examples illustrating the use of our interconversion equations and charts.
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Research context
OpenAlex topics: Advanced Surface Polishing Techniques · Force Microscopy Techniques and Applications · Advanced MEMS and NEMS Technologies
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Chemical Engineering Department, Polymers Research Group 1 , 19 Division Street, Dupuis Hall, Queen’s University, Kingston, ON K7L 3N6 ,
Mechanical and Materials Engineering Department, Queen’s University 2 , 130 Stuart Street, McLaughlin Hall, Kingston, ON K7L 3N6 ,
References (34)
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