메뉴 건너뛰기




Volumn 154, Issue 1-2, 1998, Pages 1-29

Extrapolated fields in the formulation of the assumed strain elements: Part II: Three-dimensional problems

Author keywords

[No Author keywords available]

Indexed keywords

ASPECT RATIO; BEAMS AND GIRDERS; BENDING (DEFORMATION); COMPUTER SIMULATION; ELASTICITY; MATHEMATICAL MODELS; PLATES (STRUCTURAL COMPONENTS); PROBLEM SOLVING; SHELLS (STRUCTURES); STRAIN;

EID: 0032002236     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(97)00084-4     Document Type: Article
Times cited : (10)

References (37)
  • 1
    • 0029323860 scopus 로고
    • Extrapolated fields in the formulation of the assumed strain elements. Part 1: Two-dimensional problems
    • H.K. Stolarski and Y.-I. Chen, Extrapolated fields in the formulation of the assumed strain elements. Part 1: Two-dimensional problems, Comput. Methods Appl. Mech. Engrg. 123 (1995) 247-262.
    • (1995) Comput. Methods Appl. Mech. Engrg. , vol.123 , pp. 247-262
    • Stolarski, H.K.1    Chen, Y.-I.2
  • 4
    • 0024937111 scopus 로고
    • A field-consistent formulation for the eight-noded solid finite element
    • S. Chandra and G. Prathap, A field-consistent formulation for the eight-noded solid finite element, Comput. Struct. 33 (1989) 345-355.
    • (1989) Comput. Struct. , vol.33 , pp. 345-355
    • Chandra, S.1    Prathap, G.2
  • 5
    • 0026416540 scopus 로고
    • Solid elements with rotational degrees of freedom: Part 1 - Hexahedral elements
    • S.M. Yunus, T.P. Pawlak and R.D. Cook, Solid elements with rotational degrees of freedom: Part 1 - Hexahedral elements, Int. J. Numer. Methods Engrg. 31 (1991) 573-592.
    • (1991) Int. J. Numer. Methods Engrg. , vol.31 , pp. 573-592
    • Yunus, S.M.1    Pawlak, T.P.2    Cook, R.D.3
  • 6
    • 0026157353 scopus 로고
    • Thick shell and solid finite elements with independent rotation fields
    • A. Ibrahimbegovic and E.L. Wilson, Thick shell and solid finite elements with independent rotation fields, Int. J. Numer. Methods Engrg. 31 (1991) 1393-1414.
    • (1991) Int. J. Numer. Methods Engrg. , vol.31 , pp. 1393-1414
    • Ibrahimbegovic, A.1    Wilson, E.L.2
  • 7
    • 0027246721 scopus 로고
    • A hybrid brick element with rotational degrees of freedom
    • K.Y. Sze and A. Ghali, A hybrid brick element with rotational degrees of freedom, Comput. Mech. 12 (1993) 147-163.
    • (1993) Comput. Mech. , vol.12 , pp. 147-163
    • Sze, K.Y.1    Ghali, A.2
  • 8
    • 0021309264 scopus 로고
    • A compatible triangular element including vertex rotations for plane elasticity analysis
    • D.J. Allman, A compatible triangular element including vertex rotations for plane elasticity analysis, Comput. Struct. 19 (1984) 1-8.
    • (1984) Comput. Struct. , vol.19 , pp. 1-8
    • Allman, D.J.1
  • 9
    • 85007692148 scopus 로고
    • Derivation of element stiffness matrices by assumed stress distributions
    • T.H.H. Pian, Derivation of element stiffness matrices by assumed stress distributions, AIAA J. 2 (1964) 1333-1336.
    • (1964) AIAA J. , vol.2 , pp. 1333-1336
    • Pian, T.H.H.1
  • 10
    • 0020207718 scopus 로고
    • Alternative ways for formulation of hybrid stress elements
    • T.H.H. Pian and D.P. Chen, Alternative ways for formulation of hybrid stress elements, Int. J. Numer. Methods Engrg. 18 (1982) 1697-1684.
    • (1982) Int. J. Numer. Methods Engrg. , vol.18 , pp. 1697-11684
    • Pian, T.H.H.1    Chen, D.P.2
  • 11
    • 0020920735 scopus 로고
    • On the suppression of zero energy deformation modes
    • T.H.H. Pian and D.P. Chen, On the suppression of zero energy deformation modes, Int. J. Numer. Methods Engrg. 19 (1983) 1741-1752.
    • (1983) Int. J. Numer. Methods Engrg. , vol.19 , pp. 1741-1752
    • Pian, T.H.H.1    Chen, D.P.2
  • 12
    • 0020276519 scopus 로고
    • A new formulation of hybrid/mixed finite element
    • T.H.H. Pian, D.P. Chen and D. Kang, A new formulation of hybrid/mixed finite element, Comput. Struct. 16 (1983) 81-87.
    • (1983) Comput. Struct. , vol.16 , pp. 81-87
    • Pian, T.H.H.1    Chen, D.P.2    Kang, D.3
  • 13
    • 0021497441 scopus 로고
    • Rational approach for assumed stress finite elements
    • T.H.H. Pian and K. Sumihara, Rational approach for assumed stress finite elements, Int. J. Numer. Methods Engrg. 20 (1984) 1685-1695.
    • (1984) Int. J. Numer. Methods Engrg. , vol.20 , pp. 1685-1695
    • Pian, T.H.H.1    Sumihara, K.2
  • 14
    • 0022472528 scopus 로고
    • Relations between incompatible displacement model and hybrid stress model
    • T.H.H. Pian and P. Tong, Relations between incompatible displacement model and hybrid stress model, Int. J. Numer. Methods Engrg. 22 (1986) 173-181.
    • (1986) Int. J. Numer. Methods Engrg. , vol.22 , pp. 173-181
    • Pian, T.H.H.1    Tong, P.2
  • 16
    • 0043019972 scopus 로고
    • An assumed-stress version of the Wilson 8-node isoparametric brick
    • Centre for Numerical Methods in Engineering, Dept. of Civil Engineering, Univ. of Wales, Swansea, UK, May
    • B.M. Irons, An assumed-stress version of the Wilson 8-node isoparametric brick, Computer Report CNME/CR/56, Centre for Numerical Methods in Engineering, Dept. of Civil Engineering, Univ. of Wales, Swansea, UK, May 1972.
    • (1972) Computer Report CNME/CR/56
    • Irons, B.M.1
  • 17
    • 0027110719 scopus 로고
    • An efficient eight-node incompatible solid element with stress interpolation
    • Y.F. Dong and J.A. Freitas, An efficient eight-node incompatible solid element with stress interpolation, Comput. Struct. 44 (1992) 773-781.
    • (1992) Comput. Struct. , vol.44 , pp. 773-781
    • Dong, Y.F.1    Freitas, J.A.2
  • 18
    • 0026884823 scopus 로고
    • Efficient formulation of robust hybrid elements using orthogonal stress/strain interpolants and admissible matrix formulation
    • K.Y. Sze, Efficient formulation of robust hybrid elements using orthogonal stress/strain interpolants and admissible matrix formulation, Int. J. Numer. Methods Engrg. (1992) 1-20.
    • (1992) Int. J. Numer. Methods Engrg. , pp. 1-20
    • Sze, K.Y.1
  • 19
    • 0027592512 scopus 로고
    • Hybrid hexahedral element for solids, plates, shells and beams by selective scaling
    • K.Y. Sze and A. Ghali, Hybrid hexahedral element for solids, plates, shells and beams by selective scaling, Int. J. Numer. Methods Engrg. 36 (1993) 1519-1540.
    • (1993) Int. J. Numer. Methods Engrg. , vol.36 , pp. 1519-1540
    • Sze, K.Y.1    Ghali, A.2
  • 20
    • 0023422229 scopus 로고
    • A new approach for the hybrid element method
    • W.-J. Chen and Y.K. Cheung, A new approach for the hybrid element method, Int. J. Numer. Methods Engrg. 24 (1987) 1697-1709.
    • (1987) Int. J. Numer. Methods Engrg. , vol.24 , pp. 1697-1709
    • Chen, W.-J.1    Cheung, Y.K.2
  • 21
    • 0023978615 scopus 로고
    • Isoparametric hybrid hexahedral elements for three dimensional stress analysis
    • Y.K. Cheung and W.-J. Chen, Isoparametric hybrid hexahedral elements for three dimensional stress analysis, Int. J. Numer. Methods Engrg. 26 (1988) 677-693.
    • (1988) Int. J. Numer. Methods Engrg. , vol.26 , pp. 677-693
    • Cheung, Y.K.1    Chen, W.-J.2
  • 22
    • 0026224357 scopus 로고
    • Improvement of three-dimensional hybrid hexahedral elements by using orthogonal approach
    • W.-J. Chen and Y.K. Cheung, Improvement of three-dimensional hybrid hexahedral elements by using orthogonal approach, Engrg. Comput. 8 (1991) 257-271.
    • (1991) Engrg. Comput. , vol.8 , pp. 257-271
    • Chen, W.-J.1    Cheung, Y.K.2
  • 23
    • 0026946473 scopus 로고
    • Three-dimensional 8-node and 20-node refined hybrid isoparametric elements
    • W.-J. Chen and Y.K. Cheung, Three-dimensional 8-node and 20-node refined hybrid isoparametric elements, Int. J. Numer. Methods Engrg. 35 (1992) 1871-1889.
    • (1992) Int. J. Numer. Methods Engrg. , vol.35 , pp. 1871-1889
    • Chen, W.-J.1    Cheung, Y.K.2
  • 24
    • 0019566120 scopus 로고
    • 'A uniform strain hexahedron and quadrilateral with orthogonal hourglass control
    • D.P. Flanagan and T. Belytschko, 'A uniform strain hexahedron and quadrilateral with orthogonal hourglass control, Int. J. Numer. Methods Engrg. 17 (1981) 679-706.
    • (1981) Int. J. Numer. Methods Engrg. , vol.17 , pp. 679-706
    • Flanagan, D.P.1    Belytschko, T.2
  • 25
    • 84985426056 scopus 로고
    • Correction of article by D.P. Flanagan and T. Belytschko
    • T. Belytschko, Correction of article by D.P. Flanagan and T. Belytschko, Int. J. Numer. Methods Engrg. 19 (1983) 467-468.
    • (1983) Int. J. Numer. Methods Engrg. , vol.19 , pp. 467-468
    • Belytschko, T.1
  • 28
    • 0023540309 scopus 로고
    • An efficient flexurally superconvergent hexahedral element
    • X.-J. Wang and T. Belytschko, An efficient flexurally superconvergent hexahedral element, Engrg. Comput. 4 (1987) 281-288.
    • (1987) Engrg. Comput. , vol.4 , pp. 281-288
    • Wang, X.-J.1    Belytschko, T.2
  • 29
    • 0023169359 scopus 로고
    • An efficient formulation of hexahedral elements with high accuracy for bending and incompressibility
    • W.E. Bachrach, An efficient formulation of hexahedral elements with high accuracy for bending and incompressibility, Comput. Struct. 26 (1987) 453-467.
    • (1987) Comput. Struct. , vol.26 , pp. 453-467
    • Bachrach, W.E.1
  • 30
    • 0029292143 scopus 로고
    • Assumed strain formulation for the four-node quadrilateral with improved in-plane bending behavior
    • H.K. Stolarski and Y.-I. Chen, Assumed strain formulation for the four-node quadrilateral with improved in-plane bending behavior, Int. J. Numer. Methods Engrg. 38 (1995) 1287-1305.
    • (1995) Int. J. Numer. Methods Engrg. , vol.38 , pp. 1287-1305
    • Stolarski, H.K.1    Chen, Y.-I.2
  • 33
    • 0023421899 scopus 로고
    • A theorem regarding the locking of tapered four-noded membrane elements
    • R.H. MacNeal, A theorem regarding the locking of tapered four-noded membrane elements, Int. J. Numer. Methods Engrg. 24 (1987) 1793-1799.
    • (1987) Int. J. Numer. Methods Engrg. , vol.24 , pp. 1793-1799
    • MacNeal, R.H.1
  • 34
    • 0022047205 scopus 로고
    • A proposed standard set of problems to test finite element accuracy
    • R.H. MacNeal and R.L. Harder, A proposed standard set of problems to test finite element accuracy, Finite Elements Anal. Des. 1 (1985) 3-20.
    • (1985) Finite Elements Anal. Des. , vol.1 , pp. 3-20
    • MacNeal, R.H.1    Harder, R.L.2
  • 37
    • 0025457448 scopus 로고
    • On a stress resultant geometrically exact shell model. Part IV: Variable thickness shells with through-the-thickness stretching
    • J.C. Simo, M.S. Rifai and D.D. Fox, On a stress resultant geometrically exact shell model. Part IV: Variable thickness shells with through-the-thickness stretching, Comput. Methods Appl. Mech. Engrg. 81 (1990) 91-126.
    • (1990) Comput. Methods Appl. Mech. Engrg. , vol.81 , pp. 91-126
    • Simo, J.C.1    Rifai, M.S.2    Fox, D.D.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.