Boundary integral equations in the frequency domain for interface linear cracks under impact loading

Oleksandr V. Menshykov; Marina V. Menshykova; Igor A. Guz

doi:10.1007/s00707-020-02743-2

Boundary integral equations in the frequency domain for interface linear cracks under impact loading

Oleksandr V. Menshykov^*, Marina V. Menshykova, Igor A. Guz

^*Corresponding author for this work

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

7 Citations (Scopus)

4 Downloads (Pure)

Abstract

The linear crack between two dissimilar elastic isotropic half-spaces under normal pulse loading is considered. The system of boundary integral equations for displacements and tractions in the frequency domain is derived from the dynamic Somigliana identity and adapted to solve the problem in the time domain. The numerical convergence of the method with respect to the number of the Fourier coefficients is proved. The effects of material properties of the bimaterial on the distribution of stress intensity factors (opening and transverse shear modes) are presented and analysed.

Original language	English
Pages (from-to)	3461–3471
Number of pages	11
Journal	Acta Mechanica
Volume	231
Early online date	20 Jun 2020
DOIs	https://doi.org/10.1007/s00707-020-02743-2
Publication status	Published - Aug 2020

Keywords

STRESS INTENSITY FACTORS
CONTACT INTERACTION
DYNAMIC-ANALYSIS
FACES
BIMATERIAL
FRICTION
INCIDENT
CLOSURE

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Menshykov_BIEsforInterfaceLinearCracks_AAM
This is a post-peer-review, pre-copyedit version of an article published in Acta Mechanica. The final authenticated version is available online at: http://dx.doi.org/10.1007/s00707-020-02743-2
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Cite this

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abstract = "The linear crack between two dissimilar elastic isotropic half-spaces under normal pulse loading is considered. The system of boundary integral equations for displacements and tractions in the frequency domain is derived from the dynamic Somigliana identity and adapted to solve the problem in the time domain. The numerical convergence of the method with respect to the number of the Fourier coefficients is proved. The effects of material properties of the bimaterial on the distribution of stress intensity factors (opening and transverse shear modes) are presented and analysed.",

keywords = "STRESS INTENSITY FACTORS, CONTACT INTERACTION, DYNAMIC-ANALYSIS, FACES, BIMATERIAL, FRICTION, INCIDENT, CLOSURE",

author = "Menshykov, {Oleksandr V.} and Menshykova, {Marina V.} and Guz, {Igor A.}",

year = "2020",

month = aug,

doi = "10.1007/s00707-020-02743-2",

language = "English",

volume = "231",

pages = "3461–3471",

journal = "Acta Mechanica",

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T1 - Boundary integral equations in the frequency domain for interface linear cracks under impact loading

AU - Menshykov, Oleksandr V.

AU - Menshykova, Marina V.

AU - Guz, Igor A.

PY - 2020/8

Y1 - 2020/8

N2 - The linear crack between two dissimilar elastic isotropic half-spaces under normal pulse loading is considered. The system of boundary integral equations for displacements and tractions in the frequency domain is derived from the dynamic Somigliana identity and adapted to solve the problem in the time domain. The numerical convergence of the method with respect to the number of the Fourier coefficients is proved. The effects of material properties of the bimaterial on the distribution of stress intensity factors (opening and transverse shear modes) are presented and analysed.

AB - The linear crack between two dissimilar elastic isotropic half-spaces under normal pulse loading is considered. The system of boundary integral equations for displacements and tractions in the frequency domain is derived from the dynamic Somigliana identity and adapted to solve the problem in the time domain. The numerical convergence of the method with respect to the number of the Fourier coefficients is proved. The effects of material properties of the bimaterial on the distribution of stress intensity factors (opening and transverse shear modes) are presented and analysed.

KW - STRESS INTENSITY FACTORS

KW - CONTACT INTERACTION

KW - DYNAMIC-ANALYSIS

KW - FACES

KW - BIMATERIAL

KW - FRICTION

KW - INCIDENT

KW - CLOSURE

UR - http://www.scopus.com/inward/record.url?scp=85087076022&partnerID=8YFLogxK

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DO - 10.1007/s00707-020-02743-2

M3 - Article

SN - 0001-5970

VL - 231

SP - 3461

EP - 3471

JO - Acta Mechanica

JF - Acta Mechanica

ER -

Boundary integral equations in the frequency domain for interface linear cracks under impact loading

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Keywords

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