메뉴 건너뛰기




Volumn 9, Issue 4, 2004, Pages 369-398

Post-buckling behavior of nonlinear elastic beams and three-dimensional frames using the theory of a cosserat point

Author keywords

Cosserat point; Frames; Lateral buckling; Post buckling

Indexed keywords

BUCKLING; CANTILEVER BEAMS; DEFORMATION; JOINTS (STRUCTURAL COMPONENTS); MATHEMATICAL MODELS; STRUCTURAL FRAMES;

EID: 4344598225     PISSN: 10812865     EISSN: None     Source Type: Journal    
DOI: 10.1177/1081286504033010     Document Type: Article
Times cited : (10)

References (28)
  • 2
    • 33751575445 scopus 로고
    • Exact theory of stress and strain in rods and shells
    • Ericksen, J. L. and Truesdell C.: Exact theory of stress and strain in rods and shells. Arch. Ration. Mech. Anal., 1, 295-323 (1958).
    • (1958) Arch. Ration. Mech. Anal. , vol.1 , pp. 295-323
    • Ericksen, J.L.1    Truesdell, C.2
  • 3
  • 4
    • 4344663973 scopus 로고
    • On the foundation of the theory of rods
    • Suhubi, E. S.: On the foundation of the theory of rods. Int. J. Eng. Sci., 6, 169-191 (1968).
    • (1968) Int. J. Eng. Sci. , vol.6 , pp. 169-191
    • Suhubi, E.S.1
  • 5
    • 0000715308 scopus 로고
    • On the theory of rods. Part I: Derivations from the three-dimensional equations
    • Green, A. E., Naghdi, P. M., and Wenner, M. L.: On the theory of rods. Part I: Derivations from the three-dimensional equations. Proc. R. Soc. A, 337, 451-483 (1974).
    • (1974) Proc. R. Soc. A , vol.337 , pp. 451-483
    • Green, A.E.1    Naghdi, P.M.2    Wenner, M.L.3
  • 6
    • 0000715309 scopus 로고
    • On the theory of rods. Part II: Developments by direct approach
    • Green, A. E., Naghdi, P. M., and Wenner, M. L.: On the theory of rods. Part II: Developments by direct approach. Proc. R. Soc. A, 337, 485-507 (1974).
    • (1974) Proc. R. Soc. A , vol.337 , pp. 485-507
    • Green, A.E.1    Naghdi, P.M.2    Wenner, M.L.3
  • 7
    • 0002791863 scopus 로고
    • Finite deformation of elastic rods and shells
    • ed. D. E. Carlson and R. T. Shield, Martinus Nijhoff, The Hague
    • Naghdi, P. M.: Finite deformation of elastic rods and shells, in Proc. IUTAM Symp. on Finite Elasticity (Bethlehem, PA), pp. 47-103, ed. D. E. Carlson & R. T. Shield, Martinus Nijhoff, The Hague, 1982.
    • (1982) Proc. IUTAM Symp. on Finite Elasticity (Bethlehem, PA) , pp. 47-103
    • Naghdi, P.M.1
  • 8
    • 0001493728 scopus 로고
    • The theory of rods
    • ed. C. Truesdell, Springer, Berlin
    • Antman, S. S.: The theory of rods, in Flugge's Handbuch der Physik, Vol. VIa/2, pp. 641-703, ed. C. Truesdell, Springer, Berlin, 1972.
    • (1972) Flugge's Handbuch Der Physik , vol.6 A , Issue.2 , pp. 641-703
    • Antman, S.S.1
  • 9
    • 34547955474 scopus 로고
    • Applied Mathematical Sciences Springer, Berlin
    • Antman, S. S.: Nonlinear Problems of Elasticity, Applied Mathematical Sciences, Vol. 107, Springer, Berlin, 1995.
    • (1995) Nonlinear Problems of Elasticity , vol.107
    • Antman, S.S.1
  • 11
    • 0035853869 scopus 로고    scopus 로고
    • Numerical solution procedures for nonlinear elastic rods using the theory of a Cosserat point
    • Rubin, M. B.: Numerical solution procedures for nonlinear elastic rods using the theory of a Cosserat point. Int. J. Solids Struct., 38, 4395-4437 (2001).
    • (2001) Int. J. Solids Struct. , vol.38 , pp. 4395-4437
    • Rubin, M.B.1
  • 12
    • 0035280674 scopus 로고    scopus 로고
    • On the theory of a Cosserat point and shear locking in thin beams
    • Rubin, M. B.: On the theory of a Cosserat point and shear locking in thin beams. Commun. Numer. Methods Eng., 17, 201-213 (2001).
    • (2001) Commun. Numer. Methods Eng. , vol.17 , pp. 201-213
    • Rubin, M.B.1
  • 13
    • 0141856113 scopus 로고    scopus 로고
    • Determination of hourglass coefficients in the theory of a Cosserat point for nonlinear elastic beams
    • Nadler, B. and Rubin, M. B.: Determination of hourglass coefficients in the theory of a Cosserat point for nonlinear elastic beams, Int. J. Solids and Structures, 40, 6163-6188 (2003).
    • (2003) Int. J. Solids and Structures , vol.40 , pp. 6163-6188
    • Nadler, B.1    Rubin, M.B.2
  • 15
    • 0016726830 scopus 로고
    • On the lateral buckling of uniform slender cantilever beams
    • Hodges, D. H. and Peters, D. A.: On the lateral buckling of uniform slender cantilever beams. Int. J. Solids Struct., 11, 1269-1280 (1975).
    • (1975) Int. J. Solids Struct. , vol.11 , pp. 1269-1280
    • Hodges, D.H.1    Peters, D.A.2
  • 17
    • 0342511538 scopus 로고
    • On lateral buckling of end-loaded cantilever beams
    • Reissner, E.: On lateral buckling of end-loaded cantilever beams. Z. Angew.. Math. Phys., 30, 31-40. (1979).
    • (1979) Z. Angew.. Math. Phys. , vol.30 , pp. 31-40
    • Reissner, E.1
  • 18
    • 0003742982 scopus 로고
    • On a simple variational analysis of small finite deformations of prismatical beams
    • Reissner, E.: On a simple variational analysis of small finite deformations of prismatical beams. Z. Angew. Math. Phys., 34, 642-647 (1983).
    • (1983) Z. Angew. Math. Phys. , vol.34 , pp. 642-647
    • Reissner, E.1
  • 19
    • 4344696734 scopus 로고
    • On some problems of buckling of prismatical beams under the influence of axial and transverse loads
    • Reissner, E.: On some problems of buckling of prismatical beams under the influence of axial and transverse loads. Z. Angew.. Math. Phys., 34, 649-667 (1983).
    • (1983) Z. Angew.. Math. Phys. , vol.34 , pp. 649-667
    • Reissner, E.1
  • 20
    • 4344704621 scopus 로고
    • On a variational analysis of finite deformations of prismatical beams and on the effect of warping stiffness on buckling loads
    • Reissner, E.: On a variational analysis of finite deformations of prismatical beams and on the effect of warping stiffness on buckling loads. Z. Angew.. Math. Phys., 35, 247-251 (1984).
    • (1984) Z. Angew.. Math. Phys. , vol.35 , pp. 247-251
    • Reissner, E.1
  • 21
    • 0024910009 scopus 로고
    • Lateral buckling of beams
    • Reissner, E.: Lateral buckling of beams. Compos. Struct., 33, 1289-1306 (1989).
    • (1989) Compos. Struct. , vol.33 , pp. 1289-1306
    • Reissner, E.1
  • 22
    • 4344575898 scopus 로고    scopus 로고
    • On lateral buckling of end-loaded cantilevers with transverse shear deformations
    • Kluwer, Dordrecht
    • Wan, F. Y. M.: On lateral buckling of end-loaded cantilevers with transverse shear deformations, in Advances in the Mechanics of Plates and Shells, pp. 343-356. Kluwer, Dordrecht, 2001.
    • (2001) Advances in the Mechanics of Plates and Shells , pp. 343-356
    • Wan, F.Y.M.1
  • 23
    • 0030379932 scopus 로고    scopus 로고
    • On the role of geometrically exact and second-order theories in buckling and post-buckling analysis of three-dimensional beam structures
    • Ibrahimbegovic, A., Shakourzadeh, H., Batoz, J. L, Al Makdad, M. and Guo, Y. Q.: On the role of geometrically exact and second-order theories in buckling and post-buckling analysis of three-dimensional beam structures. Compos. Struct, 61 1101-1114 (1996).
    • (1996) Compos. Struct , vol.61 , pp. 1101-1114
    • Ibrahimbegovic, A.1    Shakourzadeh, H.2    Batoz, J.L.3    Al Makdad, M.4    Guo, Y.Q.5
  • 24
    • 0022792209 scopus 로고
    • A three-dimensional finite-strain rod model. Part II: Computational aspects
    • Simo, J. C. and Vu-Quoc, L.: A three-dimensional finite-strain rod model. Part II: Computational aspects. Comput. Methods. Appl. Mech. Eng., 58, 79-116 (1986).
    • (1986) Comput. Methods. Appl. Mech. Eng. , vol.58 , pp. 79-116
    • Simo, J.C.1    Vu-Quoc, L.2
  • 25
    • 0022079606 scopus 로고
    • On the theory of a Cosserat point and its application to the numerical solution of continuum problems
    • Rubin, M. B.: On the theory of a Cosserat point and its application to the numerical solution of continuum problems. J. Appl. Mech., 52, 368-372 (1985).
    • (1985) J. Appl. Mech. , vol.52 , pp. 368-372
    • Rubin, M.B.1
  • 26
    • 0038638503 scopus 로고    scopus 로고
    • A new 3D finite element for nonlinear elasticity using the theory of a Cosserat point
    • Nadler, B. and Rubin, M. B.: A new 3D finite element for nonlinear elasticity using the theory of a Cosserat point, Int. J. Solids and Structures, 40, 4585-4614 (2003).
    • (2003) Int. J. Solids and Structures , vol.40 , pp. 4585-4614
    • Nadler, B.1    Rubin, M.B.2
  • 27
    • 0002730530 scopus 로고
    • Stability of structures with small imperfections
    • Roorda, J.: Stability of structures with small imperfections. ASCE J. Eng. Mech. Div., 91, 87-106 (1965).
    • (1965) ASCE J. Eng. Mech. Div. , vol.91 , pp. 87-106
    • Roorda, J.1
  • 28
    • 0040387306 scopus 로고
    • Solid Mechanics Division University of Waterloo Press, Waterloo, ON
    • Roorda, J.: Buckling of Elastic Structures. Solid Mechanics Division, University of Waterloo Press, Waterloo, ON, 1980.
    • (1980) Buckling of Elastic Structures
    • Roorda, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.