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Como, Mario; Grimaldi, Antonio

Stability, buckling, and postbuckling of elastic structures. (English) Zbl 0413.73053

Meccanica 12, 236-248 (1977).
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MSC:

74G60 Bifurcation and buckling
74H55 Stability of dynamical problems in solid mechanics

Keywords:

stability; postbuckling behaviour; elastic structures; potential energy functional; Liapunov stability; energy criteria

Citations:

Zbl 0364.73034
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Full Text: DOI

References:

[1] COMO M., GRIMALDI A.,Liapunov stability of the Euler column, Rend. Acc. Naz. Lincei, Vol. LXI, 67–76, 1976. · Zbl 0374.73049
[2] ASCIONE L., GRIMALDI A.,Elastic stability and postbuckling of solid section beams, Report n. 13, Department of Structures, University of Calabria, 1977.
[3] KOITER W. T.,A sufficient condition for the stability of shallow shells, Proc. Kon. Ned. Ak. Wet. B70, 367–375, 1967. · Zbl 0166.43705
[4] KOITER W. T.,General equations of elastic stability for thin shells, Proc. Symp. in honor L. M. Donnell, University of Houston, April 1966.
[5] KNOPS R. J., WILKES E. W.,Theory of elastic stability, in “Handbuch der Physik{”, Band VIa/3, Berlin-Heidelberg New York, Springer Verlag, 1973.}
[6] KOITER W. T.,The energy criterion of stability for continuous elastic bodies, I and II, Proc. Koninkl. Ned. Akad. Wetenschap, B 68, 178–189, 190–202, 1965. · Zbl 0146.21103
[7] KOITER W. T.,A basic open problem in the theory of elastic stability, Paper presented at the Joint IUTAM/IMU Symposium on Applications of Methods of Functional Analysis to Problems of Mechanics, Marseille, September 1–6, 1975.
[8] GURTIN,Moderne continuum termodynamics, in “Mechanics today{”, Vol. 1, Ed. By S. Nemat-Nasser, Pergamon Press, 1973.}
[9] WANG C. C., TRUESDELL C.,Introduction to rational elasticity, in particular section VII-7, Noordhoff Leiden, 1973. · Zbl 0308.73001
[10] SHIELD R. T., GREEN A. E.,On certain methods in the stability theory of continuous systems, Arch. Rat. Mech. Analy, 12, 354–360, 1963. · Zbl 0112.39003 · doi:10.1007/BF00281232
[11] JOHN F.,Formation of singularities in one dimensional non-linear wave propagation, Comm. Pure Appl. Math. 27, 377–405, 1974. · Zbl 0302.35064 · doi:10.1002/cpa.3160270307
[12] NAGHDI P. M., TRAPP J. A.,On the general theory of stability for elastic bodies, Arch. Rational Mech. Anal. 51, 165–191, 1973. · Zbl 0264.73061 · doi:10.1007/BF00276072
[13] MIKHLIN S. G.,Mathematical physics, an advanced course, North Holland Pub. Co., Amsterdam, 1970. · Zbl 0202.36901
[14] KOITER W. T.,Over de stabiliteit von het elastisch enerwicht, Thesis. Delft, M. J. Paris, Amsterdam 1945, English Transl. NASA YY-F-10, 833, 1967.
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