arXiv subjects

Priya Tripathi

Publications and source records attributed to Priya Tripathi.

3 recordsLinked to original sources

arXiv2025

Particle Geometry Space: An integrated characterization of particle shape, surface area, volume, specific surface, and size distribution

Particle size and shape are the key 3D particle geometry parameters that govern the complex behavior of granular materials. The effect of particle size and shape has often been examined in isolation, typically through separate analyses of particle size distribution (PSD) and shape distribution, leading to an unaddressed knowledge gap. Beyond size and shape, 3D particle geometry also includes attributes such as surface area and volume, which together defines the surface-area-to-volume ratio, commonly known as the specific surface. To comprehensively understand the influence of particle geometry on the behavior of granular materials, it is important to integrate these parameters, ideally into a single analytical framework. To this end, this paper presents a new approach, particle geometry space (PGS), formulated based on the principle that the key 3D particle geometry attributes - volume, surface area, and shape - can be uniformly expressed as a function of specific surface. The PGS not only encompasses all 3D particle geometry attributes but also extends its scope by integrating the conventional PSD concept. This innovation enables engineers and researchers who are already familiar with PSD to perform a more systematic characterization of 3D particle geometries. The paper (i) discusses the limitations of existing methods for characterizing 3D particle geometry, (ii) offers an overview of the PGS, (iii) proposes a method for integrating PSD into the PGS, and (iv) demonstrates its application with a set of 3D mineral particle geometry data.

cond-mat.soft↗

arXiv2023

A New Paradigm Integrating the Concepts of Particle Abrasion and Breakage

This paper introduces a new paradigm that integrates the concepts of particle abrasion and breakage. Both processes can co-occur under loading as soil particles are subjected to friction as well as collisions between particles. Therefore, the significance of this integrating paradigm lies in its ability to address both abrasion and breakage in a single framework. The new paradigm is mapped out in a framework called the 'particle geometry space.' The x-axis corresponds to the surface-area-to-volume ratio ($A/V$), while the y-axis represents volume ($V$). This space facilitates a holistic characterization of the four-particle geometry features, i.e., shape (${\beta}$) and size ($D$) as well as surface area ($A$) and volume ($V$). Three distinct paths (abrasion, breakage, and equally-occurring abrasion and breakage processes), three limit lines (breakage line, sphere line, and average shape-conserving line), and five different zones are defined in the particle geometry space. Consequently, this approach enables us to systematically relate the extent of co-occurring abrasion and breakage to the particle geometry evolution.

cond-mat.soft↗

arXiv2021

Phenotypic Trait of Particle Geometries

People of a race appear different but share a 'phenotypic trait' due to a common genetic origin. Mineral particles are like humans: they appear different despite having a same geological origin. Then, do the particles have some sort of 'phenotypic trait' in the geometries as we do? How can we characterize the phenotypic trait of particle geometries? This paper discusses a new perspective on how the phenotypic trait can be discovered in the particle geometries and how the 'variation' and 'average' of the geometry can be quantified. The key idea is using the power-law between particle surface-area-to-volume ratio ($A/V$) and the particle volume ($V$) that uncovers the phenotypic trait in terms of $α$ and $β^*$: From the log-transformed relation of $V = (A/V)^α {\times} β^*$, the power value $α$ represents the relation between shape and size, while the term $β^*$ (evaluated by fixing $α$ = -3) informs the angularity of the average shape in the granular material. In other words, $α$ represents the 'variation' of the geometry while $β^*$ is concerned with the 'average' geometry of a granular material. Furthermore, this study finds that $A/V$ and $V$ can be also used to characterize individual particle shape in terms of Wadell's true Sphericity ($S$). This paper also revisits the $M = A/V {\times} L/6$ concept originally introduced by Su et al. (2020) and finds the shape index $M$ is an extended form of $S$ providing additional information about the particle elongation. Therefore, the proposed method using $A/V$ and $V$ provides a unified approach that can characterize the particle geometry at multiple scales from granular material to a single particle. Ref.: Su, Y.F., Bhattacharya, S., Lee, S.J., Lee, C.H., Shin, M.: A new interpretation of three-dimensional particle geometry: M-A-V-L. Transp. Geotech. 23, 100328 (2020).

cond-mat.soft↗