An often used definition for asperities in geotechnical engineering: Unevenness of a surface are asperities if these cause dilation if two blocks with in between a discontinuity with matching asperities on the two opposing surfaces (i.e. a fitting discontinuity) move relative to each other, under low stress levels that do not cause breaking of the asperities.
Materials science recognizes asperities ranging from the sub-visual (normally less than 0.1 mm) to the atomic scale.
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