Skip to main content
Log in

The coupling method for torsion problem of the square cross-section bar with cracks

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

Abstract

By coupling natural boundary element method (NBEM) with FEM based on domain decomposition, the torsion problem of the square cross-sections bar with cracks have been studied, the stresses of the nodes of the cross-sections and the stress intensity factors have been calculated, and some distribution pictures of the stresses have been drawn. During computing, the effect of the relaxed factors to the convergence speed of the iterative method has been discussed. The results of the computation have confirmed the advantages of the NBEM and its coupling with the FEM.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. YU De-hao.The Methematical Theory of Natural Boundary Element Method [M]. Beijing: Science Press, 1993. (in Chinese)

    Google Scholar 

  2. YU De-hao. Discretization of non-overlapping domain decomposition method for unbounded domain and its convergence [J].Computational Mathematics, 1994,6(4):448–459. (in Chinese)

    Google Scholar 

  3. YU De-hao. A domain decomposition method based on the natural boundary reduction over unbounded domain [J].Computational Mathematics, 1996,18(3):328–336. (in Chinese)

    Google Scholar 

  4. DONG Zheng-zhu, ZHAO Hui-ming, CAO Ying-luo. On the torsion problem of the sector cross-section bar [J].Journal of China University of Mining and Technology, 1997,26(3):105–109. (in Chinese)

    Google Scholar 

  5. ZHAO Hui-ming. Natrual boundary element method and its application in mechanics [D]. Master Thesis. Xuzhou: China University of Mining and Technology, 1997. (in Chinese)

    Google Scholar 

  6. TANG Ren-ji.The Torsion Theory of Cracked Cyclinder [M]. Shanghai: Shanghai Jiaotong University Press, 1996. (in Chinese)

    Google Scholar 

  7. XU Zhi-lun.Elastical Mechanics [M]. Beijing: High Education Press, 1994. (in Chinese)

    Google Scholar 

  8. LÜ Tao, SHI Ji-min, LIN Zhen-bao.The Algorithm of Domain Decomposition [M]. Beijing: Science Press, 1992. (in Chinese)

    Google Scholar 

  9. ZHUO Jia-shou.The FEM in Elastical Mechanics. [M]. Beijing: Higher Education Press, 1984. (in Chinese)

    Google Scholar 

  10. CUI Zhen-yuan, CHEN Yi-zhou. A boundary collocation technique for evaluation the torsional rigidity and third stress intensity factors of cracked bars [J].Acta Solid Mechanica Sinica, 1981,2(4):503–511. (in Chinese)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by DING Hao-jiang

Foundation item: the State Key Laboratory of Science and Engineering Computation

Biography: ZHAO Hui-ming (1971-)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hui-ming, Z., Zheng-zhu, D. & Ying-luo, C. The coupling method for torsion problem of the square cross-section bar with cracks. Appl Math Mech 21, 1308–1313 (2000). https://doi.org/10.1007/BF02459253

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02459253

Key words

CLC numbers

Navigation