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A new boundary element approach of modeling singular stress fields of plane V-notch problems

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A new boundary element approach of modeling singular stress fields of plane V-notch problems. / Niu, Zhongrong; Cheng, Changzheng; Ye, Jianqiao et al.
In: International Journal of Solids and Structures, Vol. 46, No. 16, 01.08.2009, p. 2999-3008.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Harvard

Niu, Z, Cheng, C, Ye, J & Recho, N 2009, 'A new boundary element approach of modeling singular stress fields of plane V-notch problems', International Journal of Solids and Structures, vol. 46, no. 16, pp. 2999-3008. https://doi.org/10.1016/j.ijsolstr.2009.03.028

APA

Niu, Z., Cheng, C., Ye, J., & Recho, N. (2009). A new boundary element approach of modeling singular stress fields of plane V-notch problems. International Journal of Solids and Structures, 46(16), 2999-3008. https://doi.org/10.1016/j.ijsolstr.2009.03.028

Vancouver

Niu Z, Cheng C, Ye J, Recho N. A new boundary element approach of modeling singular stress fields of plane V-notch problems. International Journal of Solids and Structures. 2009 Aug 1;46(16):2999-3008. doi: 10.1016/j.ijsolstr.2009.03.028

Author

Niu, Zhongrong ; Cheng, Changzheng ; Ye, Jianqiao et al. / A new boundary element approach of modeling singular stress fields of plane V-notch problems. In: International Journal of Solids and Structures. 2009 ; Vol. 46, No. 16. pp. 2999-3008.

Bibtex

@article{6b28f28e38d3496aa2a76b1ac882bc98,
title = "A new boundary element approach of modeling singular stress fields of plane V-notch problems",
abstract = "In this paper, a new boundary element (BE) approach is proposed to determine the singular stress field in plane V-notch structures. The method is based on an asymptotic expansion of the stresses in a small region around a notch tip and application of the conventional BE in the remaining region of the structure. The evaluation of stress singularities at a notch tip is transformed into an eigenvalue problem of ordinary differential equations that is solved by the interpolating matrix method in order to obtain singularity orders (degrees) and associated eigen-functions of the V-notch. The combination of the eigen-analysis for the small region and the conventional BE analysis for the remaining part of the structure results in both the singular stress field near the notch tip and the notch stress intensity factors (SIFs). Examples are given for V-notch plates made of isotropic materials. Comparisons and parametric studies on stresses and notch SIFs are carried out for various V-notch plates. The studies show that the new approach is accurate and effective in simulating singular stress fields in V-notch/crack structures.",
author = "Zhongrong Niu and Changzheng Cheng and Jianqiao Ye and Naman Recho",
year = "2009",
month = aug,
day = "1",
doi = "10.1016/j.ijsolstr.2009.03.028",
language = "English",
volume = "46",
pages = "2999--3008",
journal = "International Journal of Solids and Structures",
issn = "0020-7683",
publisher = "Elsevier Limited",
number = "16",

}

RIS

TY - JOUR

T1 - A new boundary element approach of modeling singular stress fields of plane V-notch problems

AU - Niu, Zhongrong

AU - Cheng, Changzheng

AU - Ye, Jianqiao

AU - Recho, Naman

PY - 2009/8/1

Y1 - 2009/8/1

N2 - In this paper, a new boundary element (BE) approach is proposed to determine the singular stress field in plane V-notch structures. The method is based on an asymptotic expansion of the stresses in a small region around a notch tip and application of the conventional BE in the remaining region of the structure. The evaluation of stress singularities at a notch tip is transformed into an eigenvalue problem of ordinary differential equations that is solved by the interpolating matrix method in order to obtain singularity orders (degrees) and associated eigen-functions of the V-notch. The combination of the eigen-analysis for the small region and the conventional BE analysis for the remaining part of the structure results in both the singular stress field near the notch tip and the notch stress intensity factors (SIFs). Examples are given for V-notch plates made of isotropic materials. Comparisons and parametric studies on stresses and notch SIFs are carried out for various V-notch plates. The studies show that the new approach is accurate and effective in simulating singular stress fields in V-notch/crack structures.

AB - In this paper, a new boundary element (BE) approach is proposed to determine the singular stress field in plane V-notch structures. The method is based on an asymptotic expansion of the stresses in a small region around a notch tip and application of the conventional BE in the remaining region of the structure. The evaluation of stress singularities at a notch tip is transformed into an eigenvalue problem of ordinary differential equations that is solved by the interpolating matrix method in order to obtain singularity orders (degrees) and associated eigen-functions of the V-notch. The combination of the eigen-analysis for the small region and the conventional BE analysis for the remaining part of the structure results in both the singular stress field near the notch tip and the notch stress intensity factors (SIFs). Examples are given for V-notch plates made of isotropic materials. Comparisons and parametric studies on stresses and notch SIFs are carried out for various V-notch plates. The studies show that the new approach is accurate and effective in simulating singular stress fields in V-notch/crack structures.

U2 - 10.1016/j.ijsolstr.2009.03.028

DO - 10.1016/j.ijsolstr.2009.03.028

M3 - Journal article

VL - 46

SP - 2999

EP - 3008

JO - International Journal of Solids and Structures

JF - International Journal of Solids and Structures

SN - 0020-7683

IS - 16

ER -