Sun, 20 Jul 2008 14:54:41 BST CiteULike: norris Rychlewski http://www.citeulike.org/user/norris/author/Rychlewski CiteULike.org en-gb Copyright © 2004-2008 citeulike.org http://www.citeulike.org/user/norris/article/2760997 <i>Mathematics and Mechanics of Solids, Vol. 3, No. 4. (1 December 1998), pp. 471-503.</i><br /><br />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 Pure Shears in the Mechanics of Materials Andrzej Blinowski Jan Rychlewski doi:10.1177/108128659800300406 Mathematics and Mechanics of Solids, Vol. 3, No. 4. (1 December 1998), pp. 471-503. 2008-05-06T12:38:15-00:00 1998 Mathematics and Mechanics of Solids 3 4 471 503 elasticity http://www.citeulike.org/user/norris/article/1023445 <i>Archive of Mechanics, Vol. 53, No. 1. (2001), pp. 45-63.</i> A qualitative approach to Hooke's tensors. Part II J Rychlewski Archive of Mechanics, Vol. 53, No. 1. (2001), pp. 45-63. 2007-01-03T18:45:38-00:00 2001 Archive of Mechanics 53 1 45 63 anisotropy elasticity http://www.citeulike.org/user/norris/article/1023441 <i>Archive of Mechanics, Vol. 52, No. 4/5. (2000), pp. 737-759.</i> A qualitative approach to Hooke's tensors. Part I J Rychlewski Archive of Mechanics, Vol. 52, No. 4/5. (2000), pp. 737-759. 2007-01-03T18:42:41-00:00 2000 Archive of Mechanics 52 4/5 737 759 anisotropy elasticity http://www.citeulike.org/user/norris/article/1023440 <i>Mathematics and Mechanics of Solids, Vol. 3, No. 4. (1998), pp. 471-503.</i> Pure Shears in the Mechanics of Materials Andrzej Blinowski Jan Rychlewski Mathematics and Mechanics of Solids, Vol. 3, No. 4. (1998), pp. 471-503. 2007-01-03T18:38:47-00:00 1998 Mathematics and Mechanics of Solids 3 4 471 503 anisotropy elasticity http://www.citeulike.org/user/norris/article/1023437 <i>Archives of Mechanics - Archiwum Mechaniki Stosowanej, Vol. 47, No. 2. (1995), pp. 149-171.</i> Unconventional approach to linear elasticity J Rychlewski Archives of Mechanics - Archiwum Mechaniki Stosowanej, Vol. 47, No. 2. (1995), pp. 149-171. 2007-01-03T18:36:08-00:00 1995 Archives of Mechanics - Archiwum Mechaniki Stosowanej 47 2 149 171 anisotropy elasticity http://www.citeulike.org/user/norris/article/1023435 <i>pp. 2651-2666.</i><br /><br />In this paper the problem of finding all elastic anisotropic materials, that transmit longitudinal elastic waves in exactly the same manner as isotropic materials, is proposed and solved. The solution is given in Theorem 1. In such anisotropic materials elastic energy stored under any one-dimensional stretch does not depend on the stretching direction. In Theorem 3 a different class of anisotropic materials is described, for which the elastic energy stored under pure shearing does not depend on the shear direction. Such materials transmit at least one transverse elastic wave in every direction. The tools used to solve the problems are invariant decompositions of Hooke's tensors. Elastic waves under unusual anisotropy J Rychlewski pp. 2651-2666. 2007-01-03T18:33:21-00:00 2651 2666 anisotropy elasticity http://www.citeulike.org/user/norris/article/989009 <i>Advances in Mechanics, Vol. 14, No. 4. (1991), pp. 75-94.</i> On representations of tensor functions: a review J Rychlewski JM Zhang Advances in Mechanics, Vol. 14, No. 4. (1991), pp. 75-94. 2006-12-11T19:51:58-00:00 1991 Advances in Mechanics 14 4 75 94 bibtex-import