Analysis of the stress singularity of plane bimaterial V-notches with interpolating matrix method

School of Engineering

Keywords

Biomaterial, Stress singularity orders, The interpolating matrix method, V-notch

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Published

Standard

Analysis of the stress singularity of plane bimaterial V-notches with interpolating matrix method. / Niu, Zhong Rong; Ge, Da Li; Cheng, Chang Zheng et al.
In: Jisuan Lixue Xuebao/Chinese Journal of Computational Mechanics, Vol. 26, No. 6, 01.12.2009, p. 893-899.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Niu, ZR, Ge, DL, Cheng, CZ & Ye, JQ 2009, 'Analysis of the stress singularity of plane bimaterial V-notches with interpolating matrix method', Jisuan Lixue Xuebao/Chinese Journal of Computational Mechanics, vol. 26, no. 6, pp. 893-899.

APA

Niu, Z. R., Ge, D. L., Cheng, C. Z., & Ye, J. Q. (2009). Analysis of the stress singularity of plane bimaterial V-notches with interpolating matrix method. Jisuan Lixue Xuebao/Chinese Journal of Computational Mechanics, 26(6), 893-899.

Vancouver

Niu ZR, Ge DL, Cheng CZ, Ye JQ. Analysis of the stress singularity of plane bimaterial V-notches with interpolating matrix method. Jisuan Lixue Xuebao/Chinese Journal of Computational Mechanics. 2009 Dec 1;26(6):893-899.

Author

Niu, Zhong Rong ; Ge, Da Li ; Cheng, Chang Zheng et al. / Analysis of the stress singularity of plane bimaterial V-notches with interpolating matrix method. In: Jisuan Lixue Xuebao/Chinese Journal of Computational Mechanics. 2009 ; Vol. 26, No. 6. pp. 893-899.

Bibtex

@article{b041291f660b4583afdec43021179deb,

title = "Analysis of the stress singularity of plane bimaterial V-notches with interpolating matrix method",

abstract = "In this paper, a new way was proposed to evaluate the orders of singularity for plane V-notch problems. Based on an asymptotic displacement field in terms of radial coordinates at the V-notch tip, the governing equations of the elastic theory were transformed into an eigenvalue problem of ordinary differential equations (ODEs). Then the interpolating matrix method which was a numerical method of solving two-point boundary valve problems was further developed to solve the general ODEs eigenvalue problem. Thus the singularity orders of the V-notch problem are determined through solving the corresponding ODEs by means of the interpolating matrix method. In addition, the associated eigenvectors of the displacement and stress fields near the V-notches are also obtained.",

keywords = "Biomaterial, Stress singularity orders, The interpolating matrix method, V-notch",

author = "Niu, {Zhong Rong} and Ge, {Da Li} and Cheng, {Chang Zheng} and Ye, {Jian Qiao}",

year = "2009",

month = dec,

day = "1",

language = "English",

volume = "26",

pages = "893--899",

journal = "Jisuan Lixue Xuebao/Chinese Journal of Computational Mechanics",

issn = "1007-4708",

publisher = "Editorial Office of Chinese Journal of Computational Mechanics",

number = "6",

}

RIS

TY - JOUR

T1 - Analysis of the stress singularity of plane bimaterial V-notches with interpolating matrix method

AU - Niu, Zhong Rong

AU - Ge, Da Li

AU - Cheng, Chang Zheng

AU - Ye, Jian Qiao

PY - 2009/12/1

Y1 - 2009/12/1

N2 - In this paper, a new way was proposed to evaluate the orders of singularity for plane V-notch problems. Based on an asymptotic displacement field in terms of radial coordinates at the V-notch tip, the governing equations of the elastic theory were transformed into an eigenvalue problem of ordinary differential equations (ODEs). Then the interpolating matrix method which was a numerical method of solving two-point boundary valve problems was further developed to solve the general ODEs eigenvalue problem. Thus the singularity orders of the V-notch problem are determined through solving the corresponding ODEs by means of the interpolating matrix method. In addition, the associated eigenvectors of the displacement and stress fields near the V-notches are also obtained.

AB - In this paper, a new way was proposed to evaluate the orders of singularity for plane V-notch problems. Based on an asymptotic displacement field in terms of radial coordinates at the V-notch tip, the governing equations of the elastic theory were transformed into an eigenvalue problem of ordinary differential equations (ODEs). Then the interpolating matrix method which was a numerical method of solving two-point boundary valve problems was further developed to solve the general ODEs eigenvalue problem. Thus the singularity orders of the V-notch problem are determined through solving the corresponding ODEs by means of the interpolating matrix method. In addition, the associated eigenvectors of the displacement and stress fields near the V-notches are also obtained.

KW - Biomaterial

KW - Stress singularity orders

KW - The interpolating matrix method

KW - V-notch

M3 - Journal article

AN - SCOPUS:74749089967

VL - 26

SP - 893

EP - 899

JO - Jisuan Lixue Xuebao/Chinese Journal of Computational Mechanics

JF - Jisuan Lixue Xuebao/Chinese Journal of Computational Mechanics

SN - 1007-4708

IS - 6

ER -

Research

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