Slow relaxation of fiber composites, variable range of interaction approach

Raúl Cruz Hidalgo, F. Kun, Hans J. Herrmann

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

In the present work a fiber bundle model with slowly relaxing fibers and a continuous range of interaction rule is presented. The elements of the model are linearly elastic until they break, but after breaking they undergo a slow relaxation process, giving rise to time-dependent local load on intact fibers. The load sharing among the fibers is described by a power law as a function of the distance which allows to recover the global and local load sharing approaches as limit cases. Our results demonstrate that the two universality classes of creep rupture are robust with respect to the details of the relaxation mechanisms of the fibers.

Original languageEnglish
Pages (from-to)402-410
Number of pages9
JournalPhysica A: Statistical Mechanics and its Applications
Volume347
DOIs
Publication statusPublished - 2005

Fingerprint

fiber composites
Composite
Fiber
Load Sharing
fibers
Interaction
Range of data
interactions
Fiber Bundle
Rupture
Creep
Universality
Power Law
Linearly
bundles
Model
Demonstrate

Keywords

  • Creep failure
  • Fiber bundle model
  • Load sharing

ASJC Scopus subject areas

  • Mathematical Physics
  • Statistical and Nonlinear Physics

Cite this

Slow relaxation of fiber composites, variable range of interaction approach. / Hidalgo, Raúl Cruz; Kun, F.; Herrmann, Hans J.

In: Physica A: Statistical Mechanics and its Applications, Vol. 347, 2005, p. 402-410.

Research output: Contribution to journalArticle

@article{60845cc42c1249f2a0fb7e298b870848,
title = "Slow relaxation of fiber composites, variable range of interaction approach",
abstract = "In the present work a fiber bundle model with slowly relaxing fibers and a continuous range of interaction rule is presented. The elements of the model are linearly elastic until they break, but after breaking they undergo a slow relaxation process, giving rise to time-dependent local load on intact fibers. The load sharing among the fibers is described by a power law as a function of the distance which allows to recover the global and local load sharing approaches as limit cases. Our results demonstrate that the two universality classes of creep rupture are robust with respect to the details of the relaxation mechanisms of the fibers.",
keywords = "Creep failure, Fiber bundle model, Load sharing",
author = "Hidalgo, {Ra{\'u}l Cruz} and F. Kun and Herrmann, {Hans J.}",
year = "2005",
doi = "10.1016/j.physa.2004.08.039",
language = "English",
volume = "347",
pages = "402--410",
journal = "Physica A: Statistical Mechanics and its Applications",
issn = "0378-4371",
publisher = "Elsevier",

}

TY - JOUR

T1 - Slow relaxation of fiber composites, variable range of interaction approach

AU - Hidalgo, Raúl Cruz

AU - Kun, F.

AU - Herrmann, Hans J.

PY - 2005

Y1 - 2005

N2 - In the present work a fiber bundle model with slowly relaxing fibers and a continuous range of interaction rule is presented. The elements of the model are linearly elastic until they break, but after breaking they undergo a slow relaxation process, giving rise to time-dependent local load on intact fibers. The load sharing among the fibers is described by a power law as a function of the distance which allows to recover the global and local load sharing approaches as limit cases. Our results demonstrate that the two universality classes of creep rupture are robust with respect to the details of the relaxation mechanisms of the fibers.

AB - In the present work a fiber bundle model with slowly relaxing fibers and a continuous range of interaction rule is presented. The elements of the model are linearly elastic until they break, but after breaking they undergo a slow relaxation process, giving rise to time-dependent local load on intact fibers. The load sharing among the fibers is described by a power law as a function of the distance which allows to recover the global and local load sharing approaches as limit cases. Our results demonstrate that the two universality classes of creep rupture are robust with respect to the details of the relaxation mechanisms of the fibers.

KW - Creep failure

KW - Fiber bundle model

KW - Load sharing

UR - http://www.scopus.com/inward/record.url?scp=10644238589&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=10644238589&partnerID=8YFLogxK

U2 - 10.1016/j.physa.2004.08.039

DO - 10.1016/j.physa.2004.08.039

M3 - Article

AN - SCOPUS:10644238589

VL - 347

SP - 402

EP - 410

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

SN - 0378-4371

ER -