메뉴 건너뛰기




Volumn 192, Issue 16-18, 2003, Pages 2125-2168

A study of optimal membrane triangles with drilling freedoms

Author keywords

Assumed natural deviatoric strains; Clones; Drilling freedoms; Finite elements; Hierarchical models; High performance; Membrane; Plane stress; Shell; Signatures; Templates; Triangles

Indexed keywords

ASPECT RATIO; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; STRAIN;

EID: 0038364169     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(03)00253-6     Document Type: Article
Times cited : (169)

References (52)
  • 1
    • 0024914531 scopus 로고
    • Developments in variational methods for high performance plate and shell elements
    • A. K. Noor, T. Belytschko, and J. C. Simo (Eds.), CED, New York: The American Society of Mechanical Engineers
    • Felippa, C. A., & Militello, C. (1989). Developments in variational methods for high performance plate and shell elements. In A. K. Noor, T. Belytschko, & J. C. Simo (Eds.), Analytical and Computational Models for Shells, CED vol. 3 191-216. New York: The American Society of Mechanical Engineers.
    • (1989) Analytical and Computational Models for Shells , vol.3 , pp. 191-216
    • Felippa, C.A.1    Militello, C.2
  • 2
    • 79955479467 scopus 로고
    • The evolution of lower order plate and shell elements in MSC/NASTRAN
    • T. J. Hughes, and E. Hinton (Eds.), Swansea, UK: Pineridge Press
    • MacNeal, R. H. (1986). The evolution of lower order plate and shell elements in MSC/NASTRAN. In T. J. Hughes, & E. Hinton (Eds.), Element Technology, vol. I 85-127. Swansea, UK: Pineridge Press.
    • (1986) Element Technology , vol.1 , pp. 85-127
    • MacNeal, R.H.1
  • 4
    • 0028384556 scopus 로고
    • A survey of parametrized variational principles and applications to computational mechanics
    • Felippa, C. A. (1994). A survey of parametrized variational principles and applications to computational mechanics. Comp. Methods Appl. Mech. Engrg., 113 109-139.
    • (1994) Comp. Methods Appl. Mech. Engrg. , vol.113 , pp. 109-139
    • Felippa, C.A.1
  • 5
    • 0008687679 scopus 로고    scopus 로고
    • Recent advances in finite element templates
    • B. H. Topping (Ed.), Edinburgh: Saxe-Coburn Publications
    • Felippa, C. A. (2000). Recent advances in finite element templates. In B. H. Topping (Ed.), Computational Mechanics for the Twenty-First Century, 71-98. Edinburgh: Saxe-Coburn Publications.
    • (2000) Computational Mechanics for the Twenty-First Century , pp. 71-98
    • Felippa, C.A.1
  • 7
    • 0001759330 scopus 로고
    • Stiffness and deflection analysis of complex structures
    • Turner, M. J., Clough, R. W., Martin, H. C., & Topp, L. J. (1956). Stiffness and deflection analysis of complex structures. J. Aero. Sci., 23 805-824.
    • (1956) J. Aero. Sci. , vol.23 , pp. 805-824
    • Turner, M.J.1    Clough, R.W.2    Martin, H.C.3    Topp, L.J.4
  • 8
    • 0038676040 scopus 로고    scopus 로고
    • Preface to reprint of B.M. Fraeijs de Veubeke's Displacement and equilibrium models
    • Zienkiewicz, O. C. (2001). Preface to reprint of B.M. Fraeijs de Veubeke's Displacement and equilibrium models. Int. J. Numer. Methods Engrg., 52 287-342.
    • (2001) Int. J. Numer. Methods Engrg. , vol.52 , pp. 287-342
    • Zienkiewicz, O.C.1
  • 9
    • 0002646068 scopus 로고
    • Displacement and equilibrium models
    • O. C. Zienkiewicz, and G. Hollister (Eds.), London: Wiley
    • Fraeijs de Veubeke, B. M. (1965). Displacement and equilibrium models. In O. C. Zienkiewicz, & G. Hollister (Eds.), Stress Analysis, 145-197. London: Wiley.
    • (1965) Stress Analysis , pp. 145-197
    • Fraeijs de Veubeke, B.M.1
  • 11
    • 0002367303 scopus 로고
    • Triangular elements in plate bending--conforming and nonconforming solutions
    • J. Przemieniecki et al. (Eds.), AFFDL-TR-66-80, Air Force Institute of Technology, Dayton, OH
    • G.P. Bazeley, Y.K. Cheung, B.M. Irons, O.C. Zienkiewicz, Triangular elements in plate bending--conforming and nonconforming solutions, in: J. Przemieniecki et al. (Eds.), Proc. First Conf. Matrix Meth. Struc. Mech., AFFDL-TR-66-80, Air Force Institute of Technology, Dayton, OH, 1966, pp. 547-576
    • (1966) Proc. First Conf. Matrix Meth. Struc. Mech. , pp. 547-576
    • Bazeley, G.P.1    Cheung, Y.K.2    Irons, B.M.3    Zienkiewicz, O.C.4
  • 13
    • 0011338213 scopus 로고
    • Analysis of structural vibrations and dynamic response
    • R. H. Gallagher, Y. Yamada, and J. T. Oden (Eds.), Hunstsville, AL: University of Alabama Press
    • Clough, R. W. (1971). Analysis of structural vibrations and dynamic response. In R. H. Gallagher, Y. Yamada, & J. T. Oden (Eds.), Recent Advances in Matrix Methods of Structural Analysis and Design, 441-486. Hunstsville, AL: University of Alabama Press.
    • (1971) Recent Advances in Matrix Methods of Structural Analysis and Design , pp. 441-486
    • Clough, R.W.1
  • 14
    • 0038676045 scopus 로고
    • Ph.D. Dissertation, Department of Civil Engineering, University of California, Berkeley, CA
    • B.N. Abu-Gazaleh, Analysis of plate-type prismatic structures, Ph.D. Dissertation, Department of Civil Engineering, University of California, Berkeley, CA, 1965
    • (1965) Analysis of Plate-type Prismatic Structures
    • Abu-Gazaleh, B.N.1
  • 15
    • 0004600469 scopus 로고
    • Ph.D. Dissertation, Department of Civil Engineering, University of California, Berkeley, CA
    • K.J. Willam, Finite element analysis of cellular structures, Ph.D. Dissertation, Department of Civil Engineering, University of California, Berkeley, CA, 1969
    • (1969) Finite Element Analysis of Cellular Structures
    • Willam, K.J.1
  • 17
    • 0026966830 scopus 로고
    • Membrane triangles with corner drilling freedoms. II. The ANDES element
    • Felippa, C. A., & Militello, C. (1992). Membrane triangles with corner drilling freedoms. II. The ANDES element. Finite Elements Anal. Des., 12 189-201.
    • (1992) Finite Elements Anal. Des. , vol.12 , pp. 189-201
    • Felippa, C.A.1    Militello, C.2
  • 18
    • 0026966101 scopus 로고
    • Membrane triangles with corner drilling freedoms. III. Implementation and performance evaluation
    • Felippa, C. A., & Alexander, S. (1992). Membrane triangles with corner drilling freedoms. III. Implementation and performance evaluation. Finite Elements Anal. Des., 12 203-239.
    • (1992) Finite Elements Anal. Des. , vol.12 , pp. 203-239
    • Felippa, C.A.1    Alexander, S.2
  • 19
    • 0019070028 scopus 로고
    • Finite elements based on energy orthogonal functions
    • Bergan, P. G. (1980). Finite elements based on energy orthogonal functions. Int. J. Numer. Methods Engrg., 15 1141-1555.
    • (1980) Int. J. Numer. Methods Engrg. , vol.15 , pp. 1141-1555
    • Bergan, P.G.1
  • 20
    • 0021405329 scopus 로고
    • Finite elements with increased freedom in choosing shape functions
    • Bergan, P. G., & Nygård, M. K. (1984). Finite elements with increased freedom in choosing shape functions. Int. J. Numer. Methods Engrg., 20 643-664.
    • (1984) Int. J. Numer. Methods Engrg. , vol.20 , pp. 643-664
    • Bergan, P.G.1    Nygård, M.K.2
  • 21
    • 0022100808 scopus 로고
    • A triangular membrane element with rotational degrees of freedom
    • Bergan, P. G., & Felippa, C. A. (1985). A triangular membrane element with rotational degrees of freedom. Comp. Methods Appl. Mech. Engrg., 50 25-69.
    • (1985) Comp. Methods Appl. Mech. Engrg. , vol.50 , pp. 25-69
    • Bergan, P.G.1    Felippa, C.A.2
  • 22
    • 0038337602 scopus 로고
    • Efficient implementation of a triangular membrane element with drilling freedoms
    • T. J. Hughes, and E. Hinton (Eds.), Swansea, UK: Pineridge Press
    • Bergan, P. G., & Felippa, C. A. (1986). Efficient implementation of a triangular membrane element with drilling freedoms. In T. J. Hughes, & E. Hinton (Eds.), Element Technology, vol. I 128-152. Swansea, UK: Pineridge Press.
    • (1986) Element Technology , vol.1 , pp. 128-152
    • Bergan, P.G.1    Felippa, C.A.2
  • 24
    • 0023313126 scopus 로고
    • A triangular plate bending element based on an energy-orthogonal free formulation
    • Felippa, C. A., & Bergan, P. (1987). A triangular plate bending element based on an energy-orthogonal free formulation. Comp. Methods Appl. Mech. Engrg., 61 129-160.
    • (1987) Comp. Methods Appl. Mech. Engrg. , vol.61 , pp. 129-160
    • Felippa, C.A.1    Bergan, P.2
  • 25
    • 0024608943 scopus 로고
    • Parametrized multifield variational principles in elasticity. II. Hybrid functionals and the free formulation
    • Felippa, C. A. (1989). Parametrized multifield variational principles in elasticity. II. Hybrid functionals and the free formulation. Commun. Appl. Numer. Mech., 5 79-88.
    • (1989) Commun. Appl. Numer. Mech. , vol.5 , pp. 79-88
    • Felippa, C.A.1
  • 26
    • 0024738329 scopus 로고
    • The extended free formulation of finite elements in linear elasticity
    • Felippa, C. A. (1989). The extended free formulation of finite elements in linear elasticity. J. Appl. Mech., 56 609-616.
    • (1989) J. Appl. Mech. , vol.56 , pp. 609-616
    • Felippa, C.A.1
  • 28
    • 0022736020 scopus 로고
    • 0 shell element based on assumed natural-coordinate strains
    • 0 shell element based on assumed natural-coordinate strains. J. Appl. Mech., 53 278-290.
    • (1986) J. Appl. Mech. , vol.53 , pp. 278-290
    • Park, K.C.1    Stanley, G.M.2
  • 29
    • 0001780608 scopus 로고
    • Continuum based resultant shell elements
    • T. J. Hughes, and E. Hinton (Eds.), Swansea, UK: Pineridge Press
    • Stanley, G. M., Park, K. C., & Hughes, T. J. (1986). Continuum based resultant shell elements. In T. J. Hughes, & E. Hinton (Eds.), Element Technology, vol. I 1-45. Swansea, UK: Pineridge Press.
    • (1986) Element Technology , vol.1 , pp. 1-45
    • Stanley, G.M.1    Park, K.C.2    Hughes, T.J.R.3
  • 31
    • 0026397115 scopus 로고
    • The first ANDES elements: 9-DOF plate bending triangles
    • Militello, C., & Felippa, C. A. (1991). The first ANDES elements: 9-DOF plate bending triangles. Comp. Methods Appl. Mech. Engrg., 93 217-246.
    • (1991) Comp. Methods Appl. Mech. Engrg. , vol.93 , pp. 217-246
    • Militello, C.1    Felippa, C.A.2
  • 32
    • 0001170528 scopus 로고
    • A new approach for deriving 'good' finite elements, MAFELAP II Conference, Brunel University, 1975
    • J. R. Whiteman (Ed.), London: Academic Press
    • Bergan, P. G., & Hanssen, L. (1976). A new approach for deriving 'good' finite elements, MAFELAP II Conference, Brunel University, 1975. In J. R. Whiteman (Ed.), The Mathematics of Finite Elements and Applications, vol. II 483-497. London: Academic Press.
    • (1976) The Mathematics of Finite Elements and Applications , vol.2 , pp. 483-497
    • Bergan, P.G.1    Hanssen, L.2
  • 33
    • 0010609641 scopus 로고
    • The gamma elements and related developments
    • T. J. Hughes, and E. Hinton (Eds.), Swansea, UK: Pineridge Press
    • Belytschko, T., Liu, W. K., & Engelmann, B. E. (1986). The gamma elements and related developments. In T. J. Hughes, & E. Hinton (Eds.), Element Technology, vol. I 316-347. Swansea, UK: Pineridge Press.
    • (1986) Element Technology , vol.1 , pp. 316-347
    • Belytschko, T.1    Liu, W.K.2    Engelmann, B.E.3
  • 35
    • 0037999630 scopus 로고
    • The individual element patch revisited
    • E. Oñate, J. Periaux, and A. Samuelsson (Eds.), Barcelona/Berlin: CIMNE/Springer-Verlag
    • Militello, C., & Felippa, C. A. (1991). The individual element patch revisited. In E. Oñate, J. Periaux, & A. Samuelsson (Eds.), The Finite Element Method in the 1990's--a book dedicated to O.C. Zienkiewicz, 554-564. Barcelona/Berlin: CIMNE/Springer-Verlag.
    • (1991) The Finite Element Method in the 1990's--a Book Dedicated to O.C. Zienkiewicz , pp. 554-564
    • Militello, C.1    Felippa, C.A.2
  • 36
    • 0029234194 scopus 로고
    • From the individual element test to finite element templates: Evolution of the patch test
    • Felippa, C. A., Haugen, B., & Militello, C. (1995). From the individual element test to finite element templates: evolution of the patch test. Int. J. Numer. Methods Engrg., 38 199-229.
    • (1995) Int. J. Numer. Methods Engrg. , vol.38 , pp. 199-229
    • Felippa, C.A.1    Haugen, B.2    Militello, C.3
  • 37
    • 0032690597 scopus 로고    scopus 로고
    • Construction of optimal 3-node plate bending elements by templates
    • Felippa, C. A., & Militello, C. (1999). Construction of optimal 3-node plate bending elements by templates. Comput. Mech., 24/1 1-13.
    • (1999) Comput. Mech. , vol.24 , pp. 1-13
    • Felippa, C.A.1    Militello, C.2
  • 38
    • 0004514939 scopus 로고    scopus 로고
    • Recent developments in basic finite element technologies
    • F. Y. Cheng, and Y. Gu (Eds.), Amsterdam: Elsevier
    • Felippa, C. A. (1999). Recent developments in basic finite element technologies. In F. Y. Cheng, & Y. Gu (Eds.), Computational Mechanics in Structural Engineering--Recent Developments, 141-156. Amsterdam: Elsevier.
    • (1999) Computational Mechanics in Structural Engineering--Recent Developments , pp. 141-156
    • Felippa, C.A.1
  • 39
    • 0034919427 scopus 로고    scopus 로고
    • Customizing the mass and geometric stiffness of plane thin beam elements by Fourier methods
    • Felippa, C. A. (2001). Customizing the mass and geometric stiffness of plane thin beam elements by Fourier methods. Engrg. Comput., 18 286-303.
    • (2001) Engrg. Comput. , vol.18 , pp. 286-303
    • Felippa, C.A.1
  • 40
    • 0037661890 scopus 로고    scopus 로고
    • Customizing high performance elements by Fourier methods
    • W. A. Wall, K. -U Bleitzinger, and K. Schweizerhof (Eds.), Barcelona, Spain: CIMNE
    • Felippa, C. A. (2001). Customizing high performance elements by Fourier methods. In W. A. Wall, K. -U Bleitzinger, & K. Schweizerhof (Eds.), Trends in Computational Mechanics, 283-296. Barcelona, Spain: CIMNE.
    • (2001) Trends in Computational Mechanics , pp. 283-296
    • Felippa, C.A.1
  • 44
    • 0012144725 scopus 로고
    • The finite element method in solid mechanics
    • G. Birkhoff, R.S. Varga (Eds.), SIAM-AMS Proceedings II, American Mathematical Society, Providence, RI
    • C.A. Felippa, R.W. Clough, The finite element method in solid mechanics, in: G. Birkhoff, R.S. Varga (Eds.), Numerical Solution of Field Problems in Continuum Physics, SIAM-AMS Proceedings II, American Mathematical Society, Providence, RI, 1969, pp. 210-252
    • (1969) Numerical Solution of Field Problems in Continuum Physics , pp. 210-252
    • Felippa, C.A.1    Clough, R.W.2
  • 45
    • 0021309264 scopus 로고
    • A compatible triangular element including vertex rotations for plane elasticity analysis
    • Allman, D. J. (1984). A compatible triangular element including vertex rotations for plane elasticity analysis. Comp. Struct., 19 1-8.
    • (1984) Comp. Struct. , vol.19 , pp. 1-8
    • Allman, D.J.1
  • 46
    • 0024130826 scopus 로고
    • Evaluation of the constant strain triangle with drilling rotations
    • Allman, D. J. (1988). Evaluation of the constant strain triangle with drilling rotations. Int. J. Numer. Methods Engrg., 26 2645-2655.
    • (1988) Int. J. Numer. Methods Engrg. , vol.26 , pp. 2645-2655
    • Allman, D.J.1
  • 47
    • 0037999666 scopus 로고
    • Improved two-dimensional finite element
    • ASCE
    • Cook, R. D. (1974). Improved two-dimensional finite element. J. Struct. Div., ASCE, 100(ST6), 1851-1863.
    • (1974) J. Struct. Div. , vol.100 , Issue.6 ST , pp. 1851-1863
    • Cook, R.D.1
  • 50
    • 0017416977 scopus 로고
    • Ways to improve the bending response of finite elements
    • Cook, R. D. (1977). Ways to improve the bending response of finite elements. Int. J. Numer. Methods Engrg., 11 1029-1039.
    • (1977) Int. J. Numer. Methods Engrg. , vol.11 , pp. 1029-1039
    • Cook, R.D.1
  • 51
    • 0036390834 scopus 로고    scopus 로고
    • Application of a three-field nonlinear fluid-structure formulation to the prediction of the aeroelastic parameters of an F-16 fighter
    • Farhat, C., Geuzaine, P., & Brown, G. (2003). Application of a three-field nonlinear fluid-structure formulation to the prediction of the aeroelastic parameters of an F-16 fighter. Comp. Fluids, 32 3-29.
    • (2003) Comp. Fluids , vol.32 , pp. 3-29
    • Farhat, C.1    Geuzaine, P.2    Brown, G.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.