On local intrinsic dimensionality of deformation in complex materials

Abstract We propose a new metric called s-LID based on the concept of Local Intrinsic Dimensionality to identify and quantify hierarchies of kinematic patterns in heterogeneous media. s-LID measures how outlying a grain’s motion is relative to its s nearest neighbors in displacement state space. To...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Shuo Zhou, Antoinette Tordesillas, Mehdi Pouragha, James Bailey, Howard Bondell
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/e58d6742d10b4a4387085041400902ae
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:e58d6742d10b4a4387085041400902ae
record_format	dspace
spelling	oai:doaj.org-article:e58d6742d10b4a4387085041400902ae2021-12-02T15:43:23ZOn local intrinsic dimensionality of deformation in complex materials10.1038/s41598-021-89328-82045-2322https://doaj.org/article/e58d6742d10b4a4387085041400902ae2021-05-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-89328-8https://doaj.org/toc/2045-2322Abstract We propose a new metric called s-LID based on the concept of Local Intrinsic Dimensionality to identify and quantify hierarchies of kinematic patterns in heterogeneous media. s-LID measures how outlying a grain’s motion is relative to its s nearest neighbors in displacement state space. To demonstrate the merits of s-LID over the conventional measure of strain, we apply it to data on individual grain motions in a set of deforming granular materials. Several new insights into the evolution of failure are uncovered. First, s-LID reveals a hierarchy of concurrent deformation bands that prevails throughout loading history. These structures vary not only in relative dominance but also spatial and kinematic scales. Second, in the nascent stages of the pre-failure regime, s-LID uncovers a set of system-spanning, criss-crossing bands: microbands for small s and embryonic-shearbands at large s, with the former being dominant. At the opposite extreme, in the failure regime, fully formed shearbands at large s dominate over the microbands. The novel patterns uncovered from s-LID contradict the common belief of a causal sequence where a subset of microbands coalesce and/or grow to form shearbands. Instead, s-LID suggests that the deformation of the sample in the lead-up to failure is governed by a complex symbiosis among these different coexisting structures, which amplifies and promotes the progressive dominance of the embryonic-shearbands over microbands. Third, we probed this transition from the microband-dominated regime to the shearband-dominated regime by systematically suppressing grain rotations. We found particle rotation to be an essential enabler of the transition to the shearband-dominated regime. When grain rotations are completely suppressed, this transition is prevented: microbands and shearbands coexist in relative parity.Shuo ZhouAntoinette TordesillasMehdi PouraghaJames BaileyHoward BondellNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-14 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Shuo Zhou Antoinette Tordesillas Mehdi Pouragha James Bailey Howard Bondell On local intrinsic dimensionality of deformation in complex materials
description	Abstract We propose a new metric called s-LID based on the concept of Local Intrinsic Dimensionality to identify and quantify hierarchies of kinematic patterns in heterogeneous media. s-LID measures how outlying a grain’s motion is relative to its s nearest neighbors in displacement state space. To demonstrate the merits of s-LID over the conventional measure of strain, we apply it to data on individual grain motions in a set of deforming granular materials. Several new insights into the evolution of failure are uncovered. First, s-LID reveals a hierarchy of concurrent deformation bands that prevails throughout loading history. These structures vary not only in relative dominance but also spatial and kinematic scales. Second, in the nascent stages of the pre-failure regime, s-LID uncovers a set of system-spanning, criss-crossing bands: microbands for small s and embryonic-shearbands at large s, with the former being dominant. At the opposite extreme, in the failure regime, fully formed shearbands at large s dominate over the microbands. The novel patterns uncovered from s-LID contradict the common belief of a causal sequence where a subset of microbands coalesce and/or grow to form shearbands. Instead, s-LID suggests that the deformation of the sample in the lead-up to failure is governed by a complex symbiosis among these different coexisting structures, which amplifies and promotes the progressive dominance of the embryonic-shearbands over microbands. Third, we probed this transition from the microband-dominated regime to the shearband-dominated regime by systematically suppressing grain rotations. We found particle rotation to be an essential enabler of the transition to the shearband-dominated regime. When grain rotations are completely suppressed, this transition is prevented: microbands and shearbands coexist in relative parity.
format	article
author	Shuo Zhou Antoinette Tordesillas Mehdi Pouragha James Bailey Howard Bondell
author_facet	Shuo Zhou Antoinette Tordesillas Mehdi Pouragha James Bailey Howard Bondell
author_sort	Shuo Zhou
title	On local intrinsic dimensionality of deformation in complex materials
title_short	On local intrinsic dimensionality of deformation in complex materials
title_full	On local intrinsic dimensionality of deformation in complex materials
title_fullStr	On local intrinsic dimensionality of deformation in complex materials
title_full_unstemmed	On local intrinsic dimensionality of deformation in complex materials
title_sort	on local intrinsic dimensionality of deformation in complex materials
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/e58d6742d10b4a4387085041400902ae
work_keys_str_mv	AT shuozhou onlocalintrinsicdimensionalityofdeformationincomplexmaterials AT antoinettetordesillas onlocalintrinsicdimensionalityofdeformationincomplexmaterials AT mehdipouragha onlocalintrinsicdimensionalityofdeformationincomplexmaterials AT jamesbailey onlocalintrinsicdimensionalityofdeformationincomplexmaterials AT howardbondell onlocalintrinsicdimensionalityofdeformationincomplexmaterials
_version_	1718385842195529728

On local intrinsic dimensionality of deformation in complex materials

Ejemplares similares