Geodesic
Considering the geometrycal nonlinearity in calculation of inelastic deformation of structures. Decomposition of strains
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, no. 3 (2010), pp. 45-50

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The article shows splitting of a deformation on a reversible and an irreversible component when considering the uniaxial stress state. The irreversible deformation is defined by a plastic lengthening which has been accumulated during the whole history of the deformation. The reversible (thermoelastic) deformation cannot be divided into an elastic deformation and a thermal one. Two examples of variable thermomechanical loading of a rod are shown.
Keywords: geometrical nonlinearity, elastic deformation, thermal deformation, plastic deformation, thermomechanical loading. 
@article{VYURM_2010_3_a6,
     author = {O. S. Sadakov and A. O. Scherbakova},
     title = {Considering the geometrycal nonlinearity in calculation of inelastic deformation of structures. {Decomposition} of strains},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matematika, mehanika, fizika},
     pages = {45--50},
     publisher = {mathdoc},
     number = {3},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VYURM_2010_3_a6/}
}
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O. S. Sadakov; A. O. Scherbakova. Considering the geometrycal nonlinearity in calculation of inelastic deformation of structures. Decomposition of strains. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, no. 3 (2010), pp. 45-50. http://geodesic.mathdoc.fr/item/VYURM_2010_3_a6/