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Hysteretic behaviour of elastic-plastic beams subjected to cyclic bending
Theoretical and applied mechanics, Tome 19 (1993) no. 1, p. 117 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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In this paper, we study the cyclic bending of elastoplastic beams. The work presents an extension of the use of Pryzack's model, already successfully used for axial loading of a bar, to the bending of beams. Using this model, it is shown that an accurate analytical solution is obtained for stress, axial force and bending moment in the cross section for any given history of deformations and changes in curvature. In this case, we went from the main bodies (Hooke and Sen Venan) well known in the theory of plasticity. The paper shows how it is possible to design hysteresis loops M-k, for a given cyclic change in curvature, and obtain residual stresses, which are very important in engineering applications. 
@article{TAM_1993_19_1_a10,
     author = {Dragoslav \v{S}umarac and \v{S}a\v{s}a Sto\v{s}i\'c},
     title = {Hysteretic behaviour of elastic-plastic beams subjected to cyclic bending},
     journal = {Theoretical and applied mechanics},
     pages = {117 },
     year = {1993},
     volume = {19},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAM_1993_19_1_a10/}
}
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Dragoslav Šumarac; Šaša Stošić. Hysteretic behaviour of elastic-plastic beams subjected to cyclic bending. Theoretical and applied mechanics, Tome 19 (1993) no. 1, p. 117 . http://geodesic.mathdoc.fr/item/TAM_1993_19_1_a10/