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Surface orientation tensor to predict preferred contact orientation and characterise the form of individual particles

Lookup NU author(s): Vasileios AngelidakisORCiD



This work is licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0).


The characterisation and classification of particle form are typically based on the consideration of the main particle dimensions, for the derivation of which no method has been unanimously accepted or proven to be representative of its morphology or load-bearing capabilities. This study proposes a weighted fabric tensor, named “surface orientation tensor”, that characterises the form of an individual particle. Using the eigenvalues of this tensor, efficient measures of compactness, flakiness and elongation are proposed. In comparison to the traditional oriented bounding box approaches, it has the advantage that it is based directly on the orientations of the normal vectors of the faces forming the surface of the particle, i.e. those directions along which the particle can best transmit contact forces to its neighbours. The advantages of the proposed approach are pointed out with discrete element simulations on assemblies of polyhedral particles.

Publication metadata

Author(s): Orosz Á, Angelidakis V, Bagi K

Publication type: Article

Publication status: Published

Journal: Powder Technology

Year: 2021

Volume: 394

Pages: 312-325

Print publication date: 01/12/2021

Online publication date: 18/08/2021

Acceptance date: 15/08/2021

Date deposited: 01/09/2021

ISSN (electronic): 0032-5910

Publisher: Elsevier


DOI: 10.1016/j.powtec.2021.08.054


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