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

  • J. Y. Zhang
  • T. R. Hsu
Conference paper


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.


Stress Intensity Factor Subsidiary Condition Deep Beam Element Algorithm Fracture Mechanic Analysis 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    T.R. Hsu, “The Finite Element Method in Thermomechanics”, George Allen & Unwin Istd. England, 1986.CrossRefGoogle Scholar
  2. 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.Google Scholar
  3. 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).Google Scholar
  4. 4.
    K. Washizu, Variational methods in elastisity and plasticity, 1982.Google Scholar
  5. 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.CrossRefGoogle Scholar

Copyright information

© Springer Japan 1986

Authors and Affiliations

  • J. Y. Zhang
    • 1
  • T. R. Hsu
    • 2
  1. 1.Tianjin UniversityTianjinChina
  2. 2.Department of Mechanical EngineeringUniversity of ManitobaWinnipeg ManitobaCanada

Personalised recommendations