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Volumn 69, Issue 4, 2007, Pages 837-858

Allman's triangle, rotational DOF and partition of unity

Author keywords

Drilling degrees of freedom; Generalized finite element method; Partition of unity; Rotation; The 1984 Allman's triangle

Indexed keywords

APPROXIMATION THEORY; DEGREES OF FREEDOM (MECHANICS); STIFFNESS MATRIX;

EID: 33846271395     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.1790     Document Type: Article
Times cited : (21)

References (33)
  • 2
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    • (referred to as the 1984 Allman triangle)
    • Allman DJ. A compatible triangular element including vertex rotations for plane elasticity analyses. Computers and Structures 1984; 19(1-2):1-8 (referred to as the 1984 Allman triangle).
    • (1984) Computers and Structures , vol.19 , Issue.1-2 , pp. 1-8
    • Allman, D.J.1
  • 4
    • 0022443070 scopus 로고
    • On the Allman triangle and a related quadrilateral element
    • Cook RD. On the Allman triangle and a related quadrilateral element. Computers and Structures 1986; 22(6): 1065-1067.
    • (1986) Computers and Structures , vol.22 , Issue.6 , pp. 1065-1067
    • Cook, R.D.1
  • 10
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    • The hp cloud method
    • Ph.D. Thesis, University of Texas at Austin, Austin (TX)
    • Duarte CA. The hp cloud method. Ph.D. Thesis, University of Texas at Austin, Austin (TX), 1996.
    • (1996)
    • Duarte, C.A.1
  • 13
    • 0033904722 scopus 로고    scopus 로고
    • The generalized finite element method: An example of its implementation and illustration of its performance
    • Strouboulis T, Copps K, Babuska I. The generalized finite element method: an example of its implementation and illustration of its performance. International Journal for Numerical Methods in Engineering 2000; 47:1401-1417.
    • (2000) International Journal for Numerical Methods in Engineering , vol.47 , pp. 1401-1417
    • Strouboulis, T.1    Copps, K.2    Babuska, I.3
  • 15
    • 17544389134 scopus 로고    scopus 로고
    • Generalized finite element methods for three-dimensional structural mechanics problems
    • Duarte CA, Babuska I, Oden JT. Generalized finite element methods for three-dimensional structural mechanics problems. Computers and Structures 2000; 77(2):215-232.
    • (2000) Computers and Structures , vol.77 , Issue.2 , pp. 215-232
    • Duarte, C.A.1    Babuska, I.2    Oden, J.T.3
  • 22
    • 0037436483 scopus 로고    scopus 로고
    • A mesh-based partition of unity method for discontinuity modeling
    • Lin JS. A mesh-based partition of unity method for discontinuity modeling. Computer Methods in Applied Mechanics and Engineering 2003; 192:1515-1532.
    • (2003) Computer Methods in Applied Mechanics and Engineering , vol.192 , pp. 1515-1532
    • Lin, J.S.1
  • 24
    • 28844434235 scopus 로고    scopus 로고
    • Designs of high performance elements in free mesh method - Allman's rotational dofs, partition of unity, and generalized node
    • Tian R, Yagawa G, Matsubara H, Iraha S, Tomiyama J. Designs of high performance elements in free mesh method - Allman's rotational dofs, partition of unity, and generalized node. Proceedings of JSCES Computational Engineering 2004; 9:97-100.
    • (2004) Proceedings of JSCES Computational Engineering , vol.9 , pp. 97-100
    • Tian, R.1    Yagawa, G.2    Matsubara, H.3    Iraha, S.4    Tomiyama, J.5
  • 28
    • 0024130826 scopus 로고
    • Evaluation of the constant strain triangle with drilling rotations
    • (referred to as the 1988 Allman triangle)
    • Allman DJ. Evaluation of the constant strain triangle with drilling rotations. International Journal for Numerical Methods in Engineering 1988; 26:2645-2655 (referred to as the 1988 Allman triangle).
    • (1988) International Journal for Numerical Methods in Engineering , vol.26 , pp. 2645-2655
    • Allman, D.J.1
  • 30
    • 33846326991 scopus 로고    scopus 로고
    • Geometrical non-linear analyses using 2-dimensional generalized finite element with drilling degrees of freedom
    • (in Japanese)
    • Tadano Y, Noguchi H. Geometrical non-linear analyses using 2-dimensional generalized finite element with drilling degrees of freedom. Transactions of JSCES, Paper No. 20040027, 2004 (in Japanese).
    • (2004) Transactions of JSCES, Paper No. 20040027
    • Tadano, Y.1    Noguchi, H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.