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This study introduces a new paradigm that unifies abrasion and breakage
concepts, allowing for a holistic understanding of the comminution process. The
significance of this paradigm lies in its ability to present both abrasion and
breakage in a single big picture because both processes can co-occur under
loading as particles are subjected to friction as well as collision. A
comprehensive descriptive framework is employed to this end, which operates in
a log-transformed surface-area-to-volume ratio ($A/V$) and volume ($V$) space.
This space facilitates a holistic characterization of the four-dimensional
particle geometry features, i.e., volume ($V$), surface area ($A$), size ($D$),
and shape (${\beta}$). Consequently, this approach enables to systematically
relate the co-occurring abrasion and breakage process to co-evolving particle
shape and size. Transformative concepts including the breakage line, sphere
line, and average shape-conserving line are introduced to describe the limit
states and a special comminution process. This approach also uncovers a
self-similar nature in evolving particle geometry during comminution, which
will be a significant discovery for the granular materials research community
given the most fundamental properties observed in natural phenomena.
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