Structural Engineering and Mechanics

  • 제3권4호
  • /
  • Pages.383-390
  • /
  • 1995
  • /
  • 1225-4568(pISSN)
  • /
  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

A 2-D four-noded finite element containing a singularity of order λ

  • Abdel Wahab, M.M. (Department of Civil Engineering, Katholieke Universiteit) ;
  • de Roeck, G. (Department of Civil Engineering, Katholieke Universiteit)
  • 발행 : 1995.07.25
⟨ 이전 논문 다음 논문 ⟩

초록

A 2-D four-noded finite element which contains a ${\lambda}$ singularity is developed. The new element is compatible with quadratic standard isoparametric elements. The element is tested on two different examples. In the first example, an edge crack problem is analyzed using two different meshes and different integration orders. The second example is a crack perpendicular to the interface problem which is solved for different material properties and in turn different singularity order ${\lambda}$. The results of those examples illustrate the efficiency of the proposed element.

키워드

참고문헌

  1. Akin, J.E. (1976), "The generation of elements with singularities, Int. J. Numer. Meth. Engng., 10, 1249-1259. https://doi.org/10.1002/nme.1620100605
  2. Barsoum, R.S. (1976), "On the use of isoparametric finite elements in linear elastic fracture mechanics", Int. J. Numer. Meth. Engng., 10, 25-37. https://doi.org/10.1002/nme.1620100103
  3. Cook, R.D., Malkus, D.S. and Phesha, M.E. (1982), Concept and application of finite element analysis, John Wiley & Sons, Third edition.
  4. Cook, T.S. and Erdogan, F. (1972), "Stresses in bonded materials with a crack perpendicular to the interface", Int. J. Engng. Sci., 10, 667-697.
  5. Geyskens, P.,Marien, W. and de Roeck, G. (1991), Computer analysis language modified version, Katholieke Universiteit Leuven.
  6. Lin, K.Y. and Mar, J.M. (1976), "Finite element analysis of stress intensity factors for cracks at bimaterial interface", Int. J. of Fracture, 521-531.
  7. El Abdi, Rochdi (1991), "A special finite element for the analysis of the singularity in a bimaterial containing a crack perpendicular to interface", Engng. Fracture Mechanics, 39(5), 1061-1065. https://doi.org/10.1016/0013-7944(91)90113-F
  8. Rook, D.P. and Cartwright, D.J. (1976), Compendium of stress intensity factors, Hmso, London.
  9. Tracy, D.M. and Cook, T.S. (1977), "Analysis of power type singularities using finite elements, Int. J. Numer. Meth. Engng., 11, 1225-1233. https://doi.org/10.1002/nme.1620110804
  10. Williams, M.C. (1952), "Stress singularities resulting from various boundary conditions in angular corners of plates in extension", J. Appl. Mech., E19, 526-528.

피인용 문헌

  1. Corner stress singularities in a high-order plate theory vol.82, pp.20-21, 2004, https://doi.org/10.1016/j.compstruc.2004.04.002