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Transient near tip fields in crack dynamics. / Bratov, Vladimir; Petrov, Yuri; Utkin, Alexander.

In: Science China Physics, Mechanics and Astronomy, Vol. 54, No. 7, 07.2011, p. 1309-1318.

Research output: Contribution to journal › Article › peer-review

Harvard

Bratov, V, Petrov, Y & Utkin, A 2011, 'Transient near tip fields in crack dynamics', Science China Physics, Mechanics and Astronomy, vol. 54, no. 7, pp. 1309-1318. https://doi.org/10.1007/s11433-011-4362-5

APA

Bratov, V., Petrov, Y., & Utkin, A. (2011). Transient near tip fields in crack dynamics. Science China Physics, Mechanics and Astronomy, 54(7), 1309-1318. https://doi.org/10.1007/s11433-011-4362-5

Vancouver

Bratov V, Petrov Y, Utkin A. Transient near tip fields in crack dynamics. Science China Physics, Mechanics and Astronomy. 2011 Jul;54(7):1309-1318. https://doi.org/10.1007/s11433-011-4362-5

Author

Bratov, Vladimir ; Petrov, Yuri ; Utkin, Alexander. / Transient near tip fields in crack dynamics. In: Science China Physics, Mechanics and Astronomy. 2011 ; Vol. 54, No. 7. pp. 1309-1318.

BibTeX

@article{6898aea3bd6f4ced9ae3c45fa04bfeb2,
title = "Transient near tip fields in crack dynamics",
abstract = "Transient effects of stress-strain fields in the vicinity of a stationary crack tip under high rate loads are discussed. Exact analytical solutions to near tip stresses are compared to fields prescribed by leading terms (one or several) of Williams asymptotic expansion. Influence of load application mode, time (or, which is the same, distance from a crack tip) and Poisson's ratio on this discrepancy is extensively examined. Some effects connected with crack tip propagation speed are also discussed. Significant inconsistencies between real (or received in numerical solutions of state equations - e.g. finite element computations) crack tip fields and stress intensity factor (SIF) singular field observed by numerous researchers are explained. The scope of problems where SIF field can be used for correct prediction of dynamic stress-strain fields in the crack tip region is established. Possibility to correctly approximate fields that are not SIF dominated, accounting additional terms of Williams expansion, is studied.",
keywords = "transient crack tip fields, dynamic fracture, high-rate loads, asymptotic expansions, PROPAGATION, MECHANICS",
author = "Vladimir Bratov and Yuri Petrov and Alexander Utkin",
year = "2011",
month = jul,
doi = "10.1007/s11433-011-4362-5",
language = "Английский",
volume = "54",
pages = "1309--1318",
journal = "Science China: Physics, Mechanics and Astronomy",
issn = "1674-7348",
publisher = "Science in China Press",
number = "7",

}

RIS

TY - JOUR

T1 - Transient near tip fields in crack dynamics

AU - Bratov, Vladimir

AU - Petrov, Yuri

AU - Utkin, Alexander

PY - 2011/7

Y1 - 2011/7

N2 - Transient effects of stress-strain fields in the vicinity of a stationary crack tip under high rate loads are discussed. Exact analytical solutions to near tip stresses are compared to fields prescribed by leading terms (one or several) of Williams asymptotic expansion. Influence of load application mode, time (or, which is the same, distance from a crack tip) and Poisson's ratio on this discrepancy is extensively examined. Some effects connected with crack tip propagation speed are also discussed. Significant inconsistencies between real (or received in numerical solutions of state equations - e.g. finite element computations) crack tip fields and stress intensity factor (SIF) singular field observed by numerous researchers are explained. The scope of problems where SIF field can be used for correct prediction of dynamic stress-strain fields in the crack tip region is established. Possibility to correctly approximate fields that are not SIF dominated, accounting additional terms of Williams expansion, is studied.

AB - Transient effects of stress-strain fields in the vicinity of a stationary crack tip under high rate loads are discussed. Exact analytical solutions to near tip stresses are compared to fields prescribed by leading terms (one or several) of Williams asymptotic expansion. Influence of load application mode, time (or, which is the same, distance from a crack tip) and Poisson's ratio on this discrepancy is extensively examined. Some effects connected with crack tip propagation speed are also discussed. Significant inconsistencies between real (or received in numerical solutions of state equations - e.g. finite element computations) crack tip fields and stress intensity factor (SIF) singular field observed by numerous researchers are explained. The scope of problems where SIF field can be used for correct prediction of dynamic stress-strain fields in the crack tip region is established. Possibility to correctly approximate fields that are not SIF dominated, accounting additional terms of Williams expansion, is studied.

KW - transient crack tip fields

KW - dynamic fracture

KW - high-rate loads

KW - asymptotic expansions

KW - PROPAGATION

KW - MECHANICS

U2 - 10.1007/s11433-011-4362-5

DO - 10.1007/s11433-011-4362-5

M3 - статья

VL - 54

SP - 1309

EP - 1318

JO - Science China: Physics, Mechanics and Astronomy

JF - Science China: Physics, Mechanics and Astronomy

SN - 1674-7348

IS - 7

ER -

ID: 5244004