Geodesic
Application of the Mohr circles for solving the problem of polar decomposition under plane stress
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, no. 2 (2010), pp. 21-26

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The article considers the problem of separation of an asymmetric distortion tensor at the symmetric (stretch tensor) and the orthogonal (rigid body rotation tensor) factors for the case when orthogonal tensor is characterized by one number. This case describes plane strain (or stress) state and is very common when solving boundary problems of deformation of the solid.
Keywords: Mohr circle, rigid body rotation tensor, stretch tensor
Mots-clés : deformation gradient, polar decomposition. 
@article{VYURM_2010_2_a3,
     author = {O. S. Sadakov and A. O. Scherbakova and S. I. Shulzhenko},
     title = {Application of the {Mohr} circles for solving the problem of polar decomposition under plane stress},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matematika, mehanika, fizika},
     pages = {21--26},
     publisher = {mathdoc},
     number = {2},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VYURM_2010_2_a3/}
}
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O. S. Sadakov; A. O. Scherbakova; S. I. Shulzhenko. Application of the Mohr circles for solving the problem of polar decomposition under plane stress. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, no. 2 (2010), pp. 21-26. http://geodesic.mathdoc.fr/item/VYURM_2010_2_a3/