Further study on the postbuckling of extensible elastic rods

International Journal of Non-Linear Mechanics

Volumn 35, Issue 6, 2000, Pages 997-1022

  Filipich, C P ^a,b   Rosales, M B ^a  

^a UNIVERSIDAD NACIONAL DEL SUR   (Argentina)

^b FRBB Univ Tecnologica N   (Argentina)

Author keywords

[No Author keywords available]

Indexed keywords

BARS (METAL); CONTINUUM MECHANICS; ELASTICITY; GEOMETRY; KINEMATICS; LINEARIZATION; MATHEMATICAL MODELS; PHASE EQUILIBRIA; STRAIN; STRENGTH OF MATERIALS; STRESSES;

CAUCHY METHOD; EULERIAN AND LAGRANGIAN DESCRIPTIONS; EXTENSIBLE RODS; GEOMETRICALLY NONLINEAR ANALYSIS; GREEN METHOD; POSTBUCKLING;

BUCKLING;

EID: 0034325810     PISSN: 00207462     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7462(99)00076-1     Document Type: Article

References (19)

1. 2 , Füssli, Zurich, 1960.
2. S. Timoshenko, Theory of Elastic Stability, McGraw-Hill, New York, 1936.
3. A.E.H. Love, A Treatise on the Mathematical Theory of Elasticity, Dover, New York, 1944.
4. W.T. Koiter, On the stability of elastic equilibrium, Ph.D. Thesis, Delf, Holland, 1945 (English translation), NASA Report TTF-10, 1967.
5. J. Roorda, The instability of imperfect elastic structures, Ph.D. Thesis, University College, London, 1965.
6. J.M.T. Thompson, G.W. Hunt, A General Theory of Elastic Stability, Wiley, London, 1973.
7. K. Huseyin, Nonlinear Theory of Elastic Stability, Mechanics of Elastic Stability Series, Noordhoff Leyden, Holland, 1975.
8. J.G.A. Croll, A.C. Walker, Elements of Structural Stability, Macmillan, London, 1972.
9. M.S. El Naschie, Stress, Stability and Chaos in Structural Engineering: An Energy Approach, McGraw-Hill, London, 1990.
10. Koenig H.A., Bolle N.A. Non-linear formulation for elastic rods in three-dimensional space. Int. J. Non-Linear Mech. 28:1993;329-335.
11. Pai P.F., Palazotto A.N., Greer J.M. Jr. Polar decomposition and appropriate strains and stresses for nonlinear structural analysis. Comput. Struct. 66:1998;823-840.
12. Gummadi L.N.B., Palazotto A.N. Large strain analysis of beams and arches undergoing large rotations. Int. J. Non-Linear Mech. 33:1998;615-645.
13. R. Sampaio, M.P. Almeida, Buckling of rods with axial compression, Proceedings of the VII COBEM, Uberlandia, Vol. B, 1983, pp. 201-210 (in Portuguese).
14. R. Sampaio, M.P. Almeida, Buckling of extensible rods, Revista Brasileira de Ciencias Mecanicas 7 (1985) 373-385 (in Portuguese).
15. C. Truesdell, Continuum Mechanics I: The Mechanical Foundations of Elasticity and Fluid Dynamics, International Science Review Series, Vol. 8, Gordon and Breach, New York, 1966.
16. Y.C. Fung, Foundations of Solid Mechanics, International Series in Dynamics, Prentice-Hall, New Delhi, 1968.
17. C. Truesdell, The principles of continuum mechanics, Field Research Laboratory Socony Mobil Oil Company Inc. Colloquium, Lectures in Pure and Applied Science, Vol. 5, 1960.
18. M.E. Gurtin, An Introduction to Continuum Mechanics, Academic Press, New York, 1981.
19. C.P. Filipich, M.B. Rosales, Contribution to the study of the static postbuckling of elastic columns, Proceedings of the XVI Jornadas Argentinas de Ingeniería Estructural, Vol. I, 1994, pp. 197-212 (in Spanish).