DOI QR코드

DOI QR Code

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)
  • 발행 : 1995.03.25

초록

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.

키워드

참고문헌

  1. Nisida, M. (1982), Stress Concentration, Mechanical Industry Press, Beijing. 307-310.
  2. Pian, T.H.H. and Chen, D.P. (1982), "Alternative ways for formulation of hybrid stress elements", Int. J. Num. Meth. Eng., 18, 1679-1684. https://doi.org/10.1002/nme.1620181107
  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
  8. Tian, Z.S., Zhang, S.X. and Du, T.S. (1991), "3-D special element by a rational hybrid stress method", Proc. APCCM, Hong Kong, Dec. 1991, 1205-1210.

피인용 문헌

  1. A hybrid-Trefftz element containing an elliptic hole vol.42, pp.14-15, 2006, https://doi.org/10.1016/j.finel.2006.06.008
  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