Dynamic stability of one-dimensional models of fracture

Emily S.C. Ching, J. S. Langer, Hiizu Nakanishi

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

We examine the linear stability of steady-state propagating fracture in two one-dimensional models. Both of these models include a cohesive force at the crack tip; they differ only in that the dissipative mechanism is a frictional force in the first model and a viscosity in the second. Our strategy is to compute the linear response of this system to a spatially periodic perturbation. As expected, we find no dynamical instabilities in these models. However, we do find some interesting analytic properties of the response coefficient that we expect to be relevant to the analysis of more realistic two-dimensional models.

Original languageEnglish
Pages (from-to)4414-4420
Number of pages7
JournalPhysical Review E
Volume52
Issue number4
DOIs
Publication statusPublished - Jan 1 1995
Externally publishedYes

Fingerprint

dynamic stability
One-dimensional Model
Linear Response
crack tips
Linear Stability
Crack Tip
two dimensional models
Model
Viscosity
viscosity
Perturbation
perturbation
Coefficient
coefficients

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Physics and Astronomy(all)

Cite this

Dynamic stability of one-dimensional models of fracture. / Ching, Emily S.C.; Langer, J. S.; Nakanishi, Hiizu.

In: Physical Review E, Vol. 52, No. 4, 01.01.1995, p. 4414-4420.

Research output: Contribution to journalArticle

Ching, Emily S.C. ; Langer, J. S. ; Nakanishi, Hiizu. / Dynamic stability of one-dimensional models of fracture. In: Physical Review E. 1995 ; Vol. 52, No. 4. pp. 4414-4420.
@article{2fedaf9cbe1e40e4b3beb2ebf2518636,
title = "Dynamic stability of one-dimensional models of fracture",
abstract = "We examine the linear stability of steady-state propagating fracture in two one-dimensional models. Both of these models include a cohesive force at the crack tip; they differ only in that the dissipative mechanism is a frictional force in the first model and a viscosity in the second. Our strategy is to compute the linear response of this system to a spatially periodic perturbation. As expected, we find no dynamical instabilities in these models. However, we do find some interesting analytic properties of the response coefficient that we expect to be relevant to the analysis of more realistic two-dimensional models.",
author = "Ching, {Emily S.C.} and Langer, {J. S.} and Hiizu Nakanishi",
year = "1995",
month = "1",
day = "1",
doi = "10.1103/PhysRevE.52.4414",
language = "English",
volume = "52",
pages = "4414--4420",
journal = "Physical Review E",
issn = "2470-0045",
publisher = "American Physical Society",
number = "4",

}

TY - JOUR

T1 - Dynamic stability of one-dimensional models of fracture

AU - Ching, Emily S.C.

AU - Langer, J. S.

AU - Nakanishi, Hiizu

PY - 1995/1/1

Y1 - 1995/1/1

N2 - We examine the linear stability of steady-state propagating fracture in two one-dimensional models. Both of these models include a cohesive force at the crack tip; they differ only in that the dissipative mechanism is a frictional force in the first model and a viscosity in the second. Our strategy is to compute the linear response of this system to a spatially periodic perturbation. As expected, we find no dynamical instabilities in these models. However, we do find some interesting analytic properties of the response coefficient that we expect to be relevant to the analysis of more realistic two-dimensional models.

AB - We examine the linear stability of steady-state propagating fracture in two one-dimensional models. Both of these models include a cohesive force at the crack tip; they differ only in that the dissipative mechanism is a frictional force in the first model and a viscosity in the second. Our strategy is to compute the linear response of this system to a spatially periodic perturbation. As expected, we find no dynamical instabilities in these models. However, we do find some interesting analytic properties of the response coefficient that we expect to be relevant to the analysis of more realistic two-dimensional models.

UR - http://www.scopus.com/inward/record.url?scp=0345472296&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0345472296&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.52.4414

DO - 10.1103/PhysRevE.52.4414

M3 - Article

VL - 52

SP - 4414

EP - 4420

JO - Physical Review E

JF - Physical Review E

SN - 2470-0045

IS - 4

ER -