On the stiffness of surfaces with non-Gaussian height distribution

Abstract In this work, the stiffness, i.e., the derivative of the load-separation curve, is studied for self-affine fractal surfaces with non-Gaussian height distribution. In particular, the heights of the surfaces are assumed to follow a Weibull distribution. We find that a linear relation between...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Francesc Pérez-Ràfols, Andreas Almqvist
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/943f5058177a4b27b56e5abc293a1f25
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:943f5058177a4b27b56e5abc293a1f25
record_format	dspace
spelling	oai:doaj.org-article:943f5058177a4b27b56e5abc293a1f252021-12-02T10:49:23ZOn the stiffness of surfaces with non-Gaussian height distribution10.1038/s41598-021-81259-82045-2322https://doaj.org/article/943f5058177a4b27b56e5abc293a1f252021-01-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-81259-8https://doaj.org/toc/2045-2322Abstract In this work, the stiffness, i.e., the derivative of the load-separation curve, is studied for self-affine fractal surfaces with non-Gaussian height distribution. In particular, the heights of the surfaces are assumed to follow a Weibull distribution. We find that a linear relation between stiffness and load, well established for Gaussian surfaces, is not obtained in this case. Instead, a power law, which can be motivated by dimensionality analysis, is a better descriptor. Also unlike Gaussian surfaces, we find that the stiffness curve is no longer independent of the Hurst exponent in this case. We carefully asses the possible convergence errors to ensure that our conclusions are not affected by them.Francesc Pérez-RàfolsAndreas AlmqvistNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-8 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Francesc Pérez-Ràfols Andreas Almqvist On the stiffness of surfaces with non-Gaussian height distribution
description	Abstract In this work, the stiffness, i.e., the derivative of the load-separation curve, is studied for self-affine fractal surfaces with non-Gaussian height distribution. In particular, the heights of the surfaces are assumed to follow a Weibull distribution. We find that a linear relation between stiffness and load, well established for Gaussian surfaces, is not obtained in this case. Instead, a power law, which can be motivated by dimensionality analysis, is a better descriptor. Also unlike Gaussian surfaces, we find that the stiffness curve is no longer independent of the Hurst exponent in this case. We carefully asses the possible convergence errors to ensure that our conclusions are not affected by them.
format	article
author	Francesc Pérez-Ràfols Andreas Almqvist
author_facet	Francesc Pérez-Ràfols Andreas Almqvist
author_sort	Francesc Pérez-Ràfols
title	On the stiffness of surfaces with non-Gaussian height distribution
title_short	On the stiffness of surfaces with non-Gaussian height distribution
title_full	On the stiffness of surfaces with non-Gaussian height distribution
title_fullStr	On the stiffness of surfaces with non-Gaussian height distribution
title_full_unstemmed	On the stiffness of surfaces with non-Gaussian height distribution
title_sort	on the stiffness of surfaces with non-gaussian height distribution
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/943f5058177a4b27b56e5abc293a1f25
work_keys_str_mv	AT francescperezrafols onthestiffnessofsurfaceswithnongaussianheightdistribution AT andreasalmqvist onthestiffnessofsurfaceswithnongaussianheightdistribution
_version_	1718396606262280192

On the stiffness of surfaces with non-Gaussian height distribution

Ejemplares similares