Exactly solvable model for a velocity jump observed in crack propagation in viscoelastic solids

Abstract Needs to impart appropriate elasticity and high toughness to viscoelastic polymer materials are ubiquitous in industries such as concerning automobiles and medical devices. One of the major problems to overcome for toughening is catastrophic failure linked to a velocity jump, i.e., a sharp...

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Autores principales:	Naoyuki Sakumichi, Ko Okumura
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2017
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/5e75dfa05db643aeb61bbfaa0808c090
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spelling	oai:doaj.org-article:5e75dfa05db643aeb61bbfaa0808c0902021-12-02T16:06:30ZExactly solvable model for a velocity jump observed in crack propagation in viscoelastic solids10.1038/s41598-017-07214-82045-2322https://doaj.org/article/5e75dfa05db643aeb61bbfaa0808c0902017-08-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-07214-8https://doaj.org/toc/2045-2322Abstract Needs to impart appropriate elasticity and high toughness to viscoelastic polymer materials are ubiquitous in industries such as concerning automobiles and medical devices. One of the major problems to overcome for toughening is catastrophic failure linked to a velocity jump, i.e., a sharp transition in the velocity of crack propagation occurred in a narrow range of the applied load. However, its physical origin has remained an enigma despite previous studies over 60 years. Here, we propose an exactly solvable model that exhibits the velocity jump incorporating linear viscoelasticity with a cutoff length for a continuum description. With the exact solution, we elucidate the physical origin of the velocity jump: it emerges from a dynamic glass transition in the vicinity of the propagating crack tip. We further quantify the velocity jump together with slow- and fast-velocity regimes of crack propagation, which would stimulate the development of tough polymer materials.Naoyuki SakumichiKo OkumuraNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-11 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Naoyuki Sakumichi Ko Okumura Exactly solvable model for a velocity jump observed in crack propagation in viscoelastic solids
description	Abstract Needs to impart appropriate elasticity and high toughness to viscoelastic polymer materials are ubiquitous in industries such as concerning automobiles and medical devices. One of the major problems to overcome for toughening is catastrophic failure linked to a velocity jump, i.e., a sharp transition in the velocity of crack propagation occurred in a narrow range of the applied load. However, its physical origin has remained an enigma despite previous studies over 60 years. Here, we propose an exactly solvable model that exhibits the velocity jump incorporating linear viscoelasticity with a cutoff length for a continuum description. With the exact solution, we elucidate the physical origin of the velocity jump: it emerges from a dynamic glass transition in the vicinity of the propagating crack tip. We further quantify the velocity jump together with slow- and fast-velocity regimes of crack propagation, which would stimulate the development of tough polymer materials.
format	article
author	Naoyuki Sakumichi Ko Okumura
author_facet	Naoyuki Sakumichi Ko Okumura
author_sort	Naoyuki Sakumichi
title	Exactly solvable model for a velocity jump observed in crack propagation in viscoelastic solids
title_short	Exactly solvable model for a velocity jump observed in crack propagation in viscoelastic solids
title_full	Exactly solvable model for a velocity jump observed in crack propagation in viscoelastic solids
title_fullStr	Exactly solvable model for a velocity jump observed in crack propagation in viscoelastic solids
title_full_unstemmed	Exactly solvable model for a velocity jump observed in crack propagation in viscoelastic solids
title_sort	exactly solvable model for a velocity jump observed in crack propagation in viscoelastic solids
publisher	Nature Portfolio
publishDate	2017
url	https://doaj.org/article/5e75dfa05db643aeb61bbfaa0808c090
work_keys_str_mv	AT naoyukisakumichi exactlysolvablemodelforavelocityjumpobservedincrackpropagationinviscoelasticsolids AT kookumura exactlysolvablemodelforavelocityjumpobservedincrackpropagationinviscoelasticsolids
_version_	1718384962587066368

Exactly solvable model for a velocity jump observed in crack propagation in viscoelastic solids

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