Summary
The safe load limit, a well defined parameter for columns made of linearly viscoelastic solid-type materials with limited creep, is generalized to materially and geometrically nonlinear viscoelastic structures. To illustrate the concepts to be treated, a simple rigid bar-spring/dashpot model simulating the behaviour of imperfect columns is analyzed in detail. Next the imperfect column problem is formulated and solved. Various approximations in the solution technique are introduced which allow relatively simple procedures for the evaluation of the safe load limit. Finally a column made of concrete is analyzed in detail for which the results are compared, where possible, with experimental data, a comparison which shows satisfactory agreement.
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References
Flügge, W.: Viscoelasticity. Blaisdell Publ. Corp. 1967.
Illston, J. M.: Creep of concrete, in: Creep of engineering materials, (Pomeroy, C. D., ed.). A Journal of Strain Analysis Monograph, pp. 47–67. London: Mech. Engg. Publ. Ltd. 1978.
Distefano, N.: Creep buckling of slender columns. J. Struct. Div., Proc. A.S.C.E.91, (3), 127–143 (1965).
Dost, S., Glockner, P. G.: On the dynamic stability of viscoelastic perfect columns. Int. J. Solids Structures18 (7), 587–596 (1982).
Vinogradov, A. M., Glockner, P. G.: Stability of viscoelastic imperfect columns. Proc. A.S.C.E. Third E.M. Division Specialty Conf., pp. 244–247, Austin, 1979.
Szyszkowski, W., Glockner, P. G.: The stability of viscoelastic perfect columns. A dynamic approach. Int. J. Solids Structures21 (6), 545–559 (1985).
Szyszkowski, W., Glockner, P. G.: Finite deformation analysis of linearly viscoelastic simple structures. Int. J. Non-Linear Mech.20, 153–175 (1985).
Szyszkowski, W., Glockner, P. G.: The imperfect linearly viscoelastic column. Int. J. Engg. Sci.23 (10), 1113–1120 (1985).
Szyszkowski, W., Dost, S., Glockner, P. G.: A nonlinear constitutive law for ice. Int. J. Solids Structures21, 307–321 (1985).
Szyszkowski, W., Glockner, P. G.: An incremental formulation of hereditary constitutive laws applied to uniaxial problems. Int. J. Mech. Science27, (9), 583–597 (1985).
Behan, J. E., O'Connor, C. M.: Creep buckling of reinforced concrete columns. J. of the Structural Division, A.S.C.E.,108 (ST12), 2799–2818 (1982).
Gerard, G., Papirno, R.: Classica columns and creep. J. Aerospace Sci.6, 680–688 (1962).
Dilger, W., Neville, A. M.: Creep buckling of long columns. The Structural Engineer49, 223–226 (1971).
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The results presented here were obtained in the course of research sponsored by the Natural Sciences and Engineering Research Council of Canada, Grant No. A-2736.
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Szyszkowski, W., Glockner, P.G. On the safe load limit of columns made of time dependent materials. Acta Mechanica 65, 181–204 (1987). https://doi.org/10.1007/BF01176881
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DOI: https://doi.org/10.1007/BF01176881