Pure Shears in the Mechanics of Materials

@article{citeulike:2760997, abstract = {The pure shear tensors play a significant role in continuum mechanics. Recent authors' results concerning some remarkable properties of pure shear tensors and their sets are presented. A list of the properties defining pure shears is quoted. The properties of the whole set of all pure shears are described. An extraordinary role of the pure shears in the linear theory of elasticity is disclosed. A new approach, in terms of Kelvin moduli and pure shears as proper elastic states, to the description of the symmetries of elastic materials is proposed. Finally, it is shown that a two-parametric set of orthonormal bases of deviatoric space consisting solely of pure shears can be constructed. 10.1177/108128659800300406}, author = {Blinowski, Andrzej and Rychlewski, Jan }, citeulike-article-id = {2760997}, doi = {10.1177/108128659800300406}, journal = {Mathematics and Mechanics of Solids}, keywords = {elasticity}, month = {December}, number = {4}, pages = {471--503}, posted-at = {2008-05-06 13:39:37}, priority = {2}, title = {Pure Shears in the Mechanics of Materials}, url = {http://dx.doi.org/10.1177/108128659800300406}, volume = {3}, year = {1998} }

TY - JOUR ID - citeulike:2760997 TI - Pure Shears in the Mechanics of Materials JF - Mathematics and Mechanics of Solids VL - 3 IS - 4 SP - 471 EP - 503 N2 - The pure shear tensors play a significant role in continuum mechanics. Recent authors' results concerning some remarkable properties of pure shear tensors and their sets are presented. A list of the properties defining pure shears is quoted. The properties of the whole set of all pure shears are described. An extraordinary role of the pure shears in the linear theory of elasticity is disclosed. A new approach, in terms of Kelvin moduli and pure shears as proper elastic states, to the description of the symmetries of elastic materials is proposed. Finally, it is shown that a two-parametric set of orthonormal bases of deviatoric space consisting solely of pure shears can be constructed. 10.1177/108128659800300406 KW - elasticity AU - Blinowski, Andrzej AU - Rychlewski, Jan PY - 1998/12/01/ UR - http://dx.doi.org/10.1177/108128659800300406 ER -