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TECHNICAL PAPERS

A Simplified Method to Predict the Steady Cyclic Stress State of Creeping Structures

[+] Author and Article Information
K. V. Spiliopoulos

Institute of Structural Analysis and Seismic Research, Department of Civil Engineering, National Technical University of Athens, Zografou Campus, GR-157 73, Athens, Greece

J. Appl. Mech 69(2), 148-153 (Aug 06, 2001) (6 pages) doi:10.1115/1.1430234 History: Received January 13, 2001; Revised August 06, 2001
Copyright © 2002 by ASME
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References

Leckie,  F. A., and Ponter,  A. R. S., 1970, “Deformation Bounds for Bodies Which Creep in the Plastic Range,” ASME J. Appl. Mech. 37, pp. 426–430.
Leckie,  F. A., and Ponter,  A. R. S., 1972, “Theoretical and Experimental Investigation of the Relationship Between Plastic and Creep Deformation of Structures,” Archives of Mechanics 24, pp. 419–437.
Ponter,  A. R. S., 1976, “The Analysis of Cyclically Loaded Creeping Structures for Short Cycle Times,” Int. J. Solids Struct. 12, pp. 809–825.
Ponter,  A. R. S., and Brown,  P. R., 1978, “The Finite Element Solution of Rapid Cycling Creep Problems,” Int. J. Numer. Methods Eng. 12, pp. 1001–1024.
Spiliopoulos, K. V. , 1984, “Estimation of Accumulated Creep Deformation for Structures Subjected to Cyclic Change of Loading in the Plastic Range,” Ph.D. thesis, Imperial College, University of London.
Spiliopoulos, K. V., 2000, “Simplified Methods for the Steady State Inelastic Analysis of Cyclically Loaded Structures,” Inelastic Analysis of Structures Under Variable Loads: Theory & Engineering Applications, D. Weichert and G. Maier, eds., Kluwer Academic Publishers, Dordrecht, pp. 213–232.
Drucker,  D. C., 1959, “A Definition of Stable Inelastic Material,” ASME J. Appl. Mech. 26, pp. 101–106.
Frederick,  C. O., and Armstrong,  P. J., 1966, “Convergent Internal Stresses and Steady Cyclic States of Stress,” J. Strain Anal. 1, pp. 154–169.
Gokhfeld, D. A., and Cherniavsky, O. F., 1980, Limit Analysis of Structures at Thermal Cycling, Sijthoff & Noordhoff, Alpen aan dan Rijn, The Netherlands.
Tolstov, G. P., 1962, Fourier Series, Dover, New York.
Isaacson, E., and Keller, H. B., 1966, Analysis of Numerical Methods, John Wiley and Sons, New York.
Spiliopoulos, K. V., 2000, “Numerical Implementation of Simplified Methods of Analysis for Structures That Creep Under Large Period Cyclic Loads, CD-Rom Proc. ECCOMAS 2000, CIMNE Publication, Barcelona.
Kraus, H., 1980, Creep Analysis, John Wiley and Sons, New York.
ABAQUS, 1998, Finite Element Code, Hibbit, Karlsson and Sorensen, Warrington, UK.

Figures

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Load variation with time over four periods used in the examples
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Cyclic steady-state residual stress distribution in the truss elements of the six-bar structure inside a cycle
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Finite element discretization of thick cylinder
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Distribution of the cyclic steady-state radial stress inside a cycle for elastic and inelastic behavior at Gauss points 1 and 2
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Distribution of the cyclic steady-state hoop stress inside a cycle at Gauss points 1 and 2; (a) residual stress, (b) total stress for elastic and inelastic behavior
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Finite element discretization of a quarter of a plate
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Distribution of the cyclic steady-state xx-stress inside a cycle at Gauss point 1; (a) residual stress (b) total stress for elastic and inelastic behavior

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