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Boundary element analysis of the stress intensity factors for the v-notched structures

Research output: Contribution to Journal/MagazineJournal articlepeer-review

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Boundary element analysis of the stress intensity factors for the v-notched structures. / Niu, Zhongrong; Cheng, Changzheng; Hu, Zongjun et al.

In: Lixue Xuebao/Chinese Journal of Theoretical and Applied Mechanics, Vol. 40, No. 6, 01.11.2008, p. 849-857.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Harvard

Niu, Z, Cheng, C, Hu, Z & Ye, J 2008, 'Boundary element analysis of the stress intensity factors for the v-notched structures', Lixue Xuebao/Chinese Journal of Theoretical and Applied Mechanics, vol. 40, no. 6, pp. 849-857.

APA

Niu, Z., Cheng, C., Hu, Z., & Ye, J. (2008). Boundary element analysis of the stress intensity factors for the v-notched structures. Lixue Xuebao/Chinese Journal of Theoretical and Applied Mechanics, 40(6), 849-857.

Vancouver

Niu Z, Cheng C, Hu Z, Ye J. Boundary element analysis of the stress intensity factors for the v-notched structures. Lixue Xuebao/Chinese Journal of Theoretical and Applied Mechanics. 2008 Nov 1;40(6):849-857.

Author

Niu, Zhongrong ; Cheng, Changzheng ; Hu, Zongjun et al. / Boundary element analysis of the stress intensity factors for the v-notched structures. In: Lixue Xuebao/Chinese Journal of Theoretical and Applied Mechanics. 2008 ; Vol. 40, No. 6. pp. 849-857.

Bibtex

@article{22ba601e4ab74db1bcdc980c30e4c214,
title = "Boundary element analysis of the stress intensity factors for the v-notched structures",
abstract = "In this paper a new way is proposed to determine the generalized stress intensity factors of the plane V-notch structures by boundary element method. Firstly, a small sector around the V-notch tip is dug out from the V-notch structure. Based on the assumption of an asymptotic stress field in the V-notch tip region, evaluation of stress singularities of the sector zone are transformed into an eigenvalue problem of the ordinary differential equations. Then the solutions of the eigenvalue problem provide the singularity orders and associated eigenvectors of the V-notch. Hence the displacements and tractions on the arc of the above sector are expressed as the linear combination of the finite terms of the series expansion with different singular orders. Secondly, the boundary element method is used to model the V-notch structure removed the small sector, in which the boundary conditions along the arc edge from cutting the sector are expressed by the above linear combination. Consequently, the generalized stress intensity factors and the stress field of the V-notched structure are obtained through the boundary element analysis. Finally, two numerical examples are given to show the effectiveness of the present method.",
keywords = "Boundary element method, Linear elasticity, Singularity orders, Stress intensity factor, V-notch",
author = "Zhongrong Niu and Changzheng Cheng and Zongjun Hu and Jianqiao Ye",
year = "2008",
month = nov,
day = "1",
language = "English",
volume = "40",
pages = "849--857",
journal = "Lixue Xuebao/Chinese Journal of Theoretical and Applied Mechanics",
issn = "0459-1879",
publisher = "Chinese Journal of Theoretical and Applied",
number = "6",

}

RIS

TY - JOUR

T1 - Boundary element analysis of the stress intensity factors for the v-notched structures

AU - Niu, Zhongrong

AU - Cheng, Changzheng

AU - Hu, Zongjun

AU - Ye, Jianqiao

PY - 2008/11/1

Y1 - 2008/11/1

N2 - In this paper a new way is proposed to determine the generalized stress intensity factors of the plane V-notch structures by boundary element method. Firstly, a small sector around the V-notch tip is dug out from the V-notch structure. Based on the assumption of an asymptotic stress field in the V-notch tip region, evaluation of stress singularities of the sector zone are transformed into an eigenvalue problem of the ordinary differential equations. Then the solutions of the eigenvalue problem provide the singularity orders and associated eigenvectors of the V-notch. Hence the displacements and tractions on the arc of the above sector are expressed as the linear combination of the finite terms of the series expansion with different singular orders. Secondly, the boundary element method is used to model the V-notch structure removed the small sector, in which the boundary conditions along the arc edge from cutting the sector are expressed by the above linear combination. Consequently, the generalized stress intensity factors and the stress field of the V-notched structure are obtained through the boundary element analysis. Finally, two numerical examples are given to show the effectiveness of the present method.

AB - In this paper a new way is proposed to determine the generalized stress intensity factors of the plane V-notch structures by boundary element method. Firstly, a small sector around the V-notch tip is dug out from the V-notch structure. Based on the assumption of an asymptotic stress field in the V-notch tip region, evaluation of stress singularities of the sector zone are transformed into an eigenvalue problem of the ordinary differential equations. Then the solutions of the eigenvalue problem provide the singularity orders and associated eigenvectors of the V-notch. Hence the displacements and tractions on the arc of the above sector are expressed as the linear combination of the finite terms of the series expansion with different singular orders. Secondly, the boundary element method is used to model the V-notch structure removed the small sector, in which the boundary conditions along the arc edge from cutting the sector are expressed by the above linear combination. Consequently, the generalized stress intensity factors and the stress field of the V-notched structure are obtained through the boundary element analysis. Finally, two numerical examples are given to show the effectiveness of the present method.

KW - Boundary element method

KW - Linear elasticity

KW - Singularity orders

KW - Stress intensity factor

KW - V-notch

M3 - Journal article

AN - SCOPUS:57649087629

VL - 40

SP - 849

EP - 857

JO - Lixue Xuebao/Chinese Journal of Theoretical and Applied Mechanics

JF - Lixue Xuebao/Chinese Journal of Theoretical and Applied Mechanics

SN - 0459-1879

IS - 6

ER -