Structural Engineering and Mechanics

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Stress analyses of solids with rectangular holes by 3-D special hybrid stress elements

  • Tian, Z.S. (Department of Mechanics, Graduate School, The University of Technology and Sciences of China) ;
  • Liu, J.S. (Department of Mechanics, Graduate School, The University of Technology and Sciences of China) ;
  • Fang, B. (Department of Mechanics, Graduate School, The University of Technology and Sciences of China)
  • Published : 1995.03.25
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Abstract

Two kinds of special 3-dimensional 12-node finite elements-each one contains a traction-free planar surface-have been developed based on Hellinger-Reissner principle by assumed stress hybrid method. Example solutions have demonstrated the advantage of using these special elements for analyzing plates and solids with rectangular holes.

Keywords

References

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  3. Pian, T.H.H. and Tian, Z.S. (1986), "Hybrid solid element with a traction-free cylindrical surface", Proc. ASME Symposium of Hybrid and Mixed Finite Element Models, AMD-73, U.S.A., 66-75.
  4. Shawen, T.H. (1965), Concentration Factors Around Holes, Science Press, Beijing. 40-56.
  5. Tian, Z.S. (1990a), "A study of stress concentrations in solids with circular holes by 3-D special hybrid stress element", J. Strain Analysis, 29-35.
  6. Tian, Z.S. (1990b), "Further improved hybrid solid element with a traction-free cylindrical surface", Proc. WCCM2, Stuttgart, Aug. 1990, 459-462.
  7. Tian, Z. S. and Tian, Z. (1990), "Improved hybrid solid element with a traction-free cylindrical surface", Int. J. Num. Meth. Eng., 29, 801-809. https://doi.org/10.1002/nme.1620290409
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  2. STUDIES OF STRESS CONCENTRATION BY USING SPECIAL HYBRID STRESS ELEMENTS vol.40, pp.8, 1997, https://doi.org/10.1002/(SICI)1097-0207(19970430)40:8<1399::AID-NME116>3.0.CO;2-J
  3. Finite element linear and nonlinear, static and dynamic analysis of structural elements: a bibliography (1992‐1995) vol.14, pp.4, 1997, https://doi.org/10.1108/02644409710178494
  4. A quadrilateral membrane hybrid stress element with drilling degrees of freedom vol.28, pp.5, 2012, https://doi.org/10.1007/s10409-012-0087-6
  5. Shear Performance of Reinforced Concrete Beams with Small Circular Openings Strengthened Using Rectangular and Octagonal-Shaped Reinforcement vol.13, pp.24, 1995, https://doi.org/10.3390/ma13245804