Geodesic
On the use of logarithmic strain tensor
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 6 (2014) no. 3, pp. 78-85

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The rejection of the small displacements hypothesis in the mechanics of deformable solids leads to some problems connected with geometrical nonlinearity. At present, these problems are still not completely solved despite their relevance to practical applications. One of these problems is the concept of logarithmic strain. The scalar logarithmic strain is effective in some cases but the logarithmic strain tensor is usually useless.
Keywords: geometrical nonlinearity; finite strains; logarithmic strain; Hencky strain tensor; engineering strain; simple shear. 
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     title = {On the use of logarithmic strain tensor},
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     url = {http://geodesic.mathdoc.fr/item/VYURM_2014_6_3_a11/}
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O. S. Sadakov; A. O. Scherbakova. On the use of logarithmic strain tensor. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 6 (2014) no. 3, pp. 78-85. http://geodesic.mathdoc.fr/item/VYURM_2014_6_3_a11/