Self-healing pulse solution in a continuum model of fracture propagation

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Abstract

An analytical solution that represents a self-healing pulse of slip is presented for a dynamical model of fracture in a two-dimensional continuum medium. Even without the cohesive region, the solution does not show a singular behavior in the stress at the resticking point unlike at the breaking point, where the stress is diverging as [Formula Presented] This means that the physical condition at the resticking point should depend on the microscopic processes of resticking while the condition at the breaking point is known to be described by the phenomenological fracture energy.

Original languageEnglish
Pages (from-to)3407-3410
Number of pages4
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume61
Issue number4
DOIs
Publication statusPublished - Jan 1 2000

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healing
Continuum Model
Propagation
continuums
propagation
pulses
slip
Dynamical Model
Slip
Analytical Solution
Continuum
energy
Energy

All Science Journal Classification (ASJC) codes

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

Cite this

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abstract = "An analytical solution that represents a self-healing pulse of slip is presented for a dynamical model of fracture in a two-dimensional continuum medium. Even without the cohesive region, the solution does not show a singular behavior in the stress at the resticking point unlike at the breaking point, where the stress is diverging as [Formula Presented] This means that the physical condition at the resticking point should depend on the microscopic processes of resticking while the condition at the breaking point is known to be described by the phenomenological fracture energy.",
author = "Hiizu Nakanishi",
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doi = "10.1103/PhysRevE.61.3407",
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AB - An analytical solution that represents a self-healing pulse of slip is presented for a dynamical model of fracture in a two-dimensional continuum medium. Even without the cohesive region, the solution does not show a singular behavior in the stress at the resticking point unlike at the breaking point, where the stress is diverging as [Formula Presented] This means that the physical condition at the resticking point should depend on the microscopic processes of resticking while the condition at the breaking point is known to be described by the phenomenological fracture energy.

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