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

Author:

Spiliopoulos K. V.1

Affiliation:

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

Abstract

Simplified methods have been developed to find the long-term cyclic state of stress for structures that exhibit inelastic creep and are subjected to a short period cyclic loading. In the present work a new simplified method is presented which may be applied to cyclic loads having any period. The method is based on decomposing the residual stress in Fourier series. The various Fourier coefficients are computed, in an iterative way, by satisfying equilibrium and compatibility at a few time points inside the cycle. The whole numerical procedure is formulated within the finite element method and examples of various structures are presented.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference14 articles.

1. 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.

2. 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.

3. Ponter, A. R. S. , 1976, “The Analysis of Cyclically Loaded Creeping Structures for Short Cycle Times,” Int. J. Solids Struct. 12, pp. 809–825.

4. 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.

5. 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.

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