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A Hybrid Finite Element Algorithm by Virtual Work Principle and its Application in Fracture Mechanics

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Computational Mechanics ’86

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Abstract

A hybrid finite element algorithm is formulated on the basis of the principles of virtual stress and displacement. This algorithm has been implemented in two types of quadrilateral planar hybrid elements with stress singular terms for the application to fracture mechanics problems. This hybid elements scheme was incorporated into an existing code, TEPSAC for the thermoelastic-plastic-creep analysis of solids[1] and comparisons of results by different elements have been made.

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References

  1. T.R. Hsu, “The Finite Element Method in Thermomechanics”, George Allen & Unwin Istd. England, 1986.

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  2. T.H.H. Pian, Derivation of element stiffness matrices by assumed stress distribution, AIAA J. Vol. 2, No. 7, pp. 1333–1336, July, 1964.

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  3. Pin Tong, T.H.H. Pian and S.J. Lasry, A hybrid-element approach to crack problems in plane elasticity, Int. J. num. Meth. Engng. V. 7 pp. 293–308 (1973).

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  4. K. Washizu, Variational methods in elastisity and plasticity, 1982.

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  5. S.K. Chan, I.S. Tuba and W.K. Wilson, On the finite element method in liner fracture mechanics, Engineering Fracture Mechanics, V. 2 (1970), pp. 1–17.

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Author information

Authors and Affiliations

  1. Tianjin University, Tianjin, China

    J. Y. Zhang

  2. Department of Mechanical Engineering, University of Manitoba, Winnipeg Manitoba, Canada

    T. R. Hsu

Authors
  1. J. Y. Zhang
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  2. T. R. Hsu
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Editor information

Editors and Affiliations

  1. Department of Nuclear Engineering, The University of Tokyo, 3-1, Hongo 7-chome, Bunkyo-ku, Tokyo 113, Japan

    Genki Yagawa

  2. Center for the Advancement of Computational Mechanics, School of Civil Engineering, Georgia Institute of Technology, 225, North Avenue, Atlanta, GA, 30332, USA

    Satya N. Atluri

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© 1986 Springer Japan

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Zhang, J.Y., Hsu, T.R. (1986). A Hybrid Finite Element Algorithm by Virtual Work Principle and its Application in Fracture Mechanics. In: Yagawa, G., Atluri, S.N. (eds) Computational Mechanics ’86. Springer, Tokyo. https://doi.org/10.1007/978-4-431-68042-0_144

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  • DOI: https://doi.org/10.1007/978-4-431-68042-0_144

  • Publisher Name: Springer, Tokyo

  • Print ISBN: 978-4-431-68044-4

  • Online ISBN: 978-4-431-68042-0

  • eBook Packages: Springer Book Archive

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