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.

Issue Section:
Technical Papers
Keywords:
stress analysis, internal stresses, iterative methods, finite element analysis, creep, structural engineering, Fourier series
Topics:
Cycles, Stress, Creep, Fourier series, Finite element analysis
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