Geodesic
Review of incremental and direct methods of determining asymptotic stabilized behaviour of inelastic structures
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 9 (2013), pp. 118-132

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The review of methods that can be used to define the asymptotic stabilized state of an inelastic structure under cyclic loading is given in the paper. Due to the growth of interest for the knowledge of the asymptotic behaviour of the structure under cyclic loading, incremental (with the use of finite element method) and direct methods (methods of optimal control theory and decomposition of residual stresses in Fourier series) began to develop.
Keywords: cyclic loading, asymptotic behaviour of a structure, direct methods, optimal control theory, shakedown, cyclic plasticity, ratchetting, finite element method. 
@article{VSGU_2013_9_a14,
     author = {V. A. Turkova},
     title = {Review of incremental and direct methods of determining asymptotic stabilized behaviour of inelastic structures},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {118--132},
     publisher = {mathdoc},
     number = {9},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2013_9_a14/}
}
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V. A. Turkova. Review of incremental and direct methods of determining asymptotic stabilized behaviour of inelastic structures. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 9 (2013), pp. 118-132. http://geodesic.mathdoc.fr/item/VSGU_2013_9_a14/