A hybrid-Trefftz element containing an elliptic hole

作者: Manicka Dhanasekar , Jianjun Han , Qinghua Qin

DOI: 10.1016/J.FINEL.2006.06.008

关键词:

摘要: Much work on special elements that simplify geometrical modelling of structures containing holes, cracks and/ or inclusions has been reported extensively in the literature. This paper presents a hybrid-Trefftz element elliptic hole formulated using Hellinger-Reissner principle by employing trial functions based mapping technique and Cauchy integral method. The presented this could be regarded as an improved formulation over Piltner [Special finite with holes internal cracks, Int. J. Numer. Methods Eng 21 (1985) 1471-1485] because chosen trail have provided relatively more stable solutions. use other ordinary displacement-based also yielded very accurate solutions even when coarse meshes relative to size used.

参考文章(13)
R. Piltner, Special finite elements with holes and internal cracks International Journal for Numerical Methods in Engineering. ,vol. 21, pp. 1471- 1485 ,(1985) , 10.1002/NME.1620210809
Dan Zeng, Noriko Katsube, Jinmiao Zhang, Wole Soboyejo, None, Hybrid crack-tip element and its applications Finite Elements in Analysis and Design. ,vol. 38, pp. 319- 335 ,(2002) , 10.1016/S0168-874X(01)00087-7
J. Zhang, N. Katsube, A hybrid finite element method for heterogeneous materials with randomly dispersed elastic inclusions Finite Elements in Analysis and Design. ,vol. 19, pp. 45- 55 ,(1995) , 10.1016/0168-874X(94)00056-L
Qing-Hua Qin, VD Radulescu, The Trefftz Finite and Boundary Element Method ,(2000)
Z.S. Tian, J.S. Liu, B. Fang, Stress analyses of solids with rectangular holes by 3-D special hybrid stress elements Structural Engineering and Mechanics. ,vol. 3, pp. 193- 199 ,(1995) , 10.12989/SEM.1995.3.2.193
Pin Tong, T. H. H. Pian, S. J. Lasry, A hybrid‐element approach to crack problems in plane elasticity International Journal for Numerical Methods in Engineering. ,vol. 7, pp. 297- 308 ,(1973) , 10.1002/NME.1620070307
J. Zhang, N. Katsube, A hybrid finite element method for heterogeneous materials with randomly dispersed rigid inclusions International Journal for Numerical Methods in Engineering. ,vol. 38, pp. 1635- 1653 ,(1995) , 10.1002/NME.1620381004