Sat, 19 Jul 2008 04:45:31 BST CiteULike: norris's Rajagopal http://www.citeulike.org/user/norris/author/Rajagopal CiteULike.org en-gb Copyright © 2004-2008 citeulike.org http://www.citeulike.org/user/norris/article/2760977 <i>Mathematics and Mechanics of Solids, Vol. 1, No. 4. (1 December 1996), pp. 463-472.</i><br /><br />A boundary layer approximation for nonlinearly elastic solids is advocated, with the full nonlinear equations assumed to hold in a narrow region adjacent to a boundary, whereas in the rest of the domain the equations of linearized elasticity are supposed to hold. 10.1177/108128659600100407 Deformations of Nonlinear Elastic Solids in Unbounded Domains KR Rajagopal doi:10.1177/108128659600100407 Mathematics and Mechanics of Solids, Vol. 1, No. 4. (1 December 1996), pp. 463-472. 2008-05-06T12:31:00-00:00 1996 Mathematics and Mechanics of Solids 1 4 463 472 elasticity http://www.citeulike.org/user/norris/article/1780952 <i>Zeitschrift für Angewandte Mathematik und Physik (ZAMP), Vol. 58, No. 2. (30 March 2007), pp. 309-317.</i><br /><br />Abstract.  In this note we assert that the usual interpretation of what one means by “elasticity” is much too insular and illustrates our thesis by introducing implicit constitutive theories that can describe the non-dissipative response of solids. There is another important aspect to the introduction of such an implicit approach to the non-dissipative response of solids, the development of a hierarchy of approximations wherein, while the strains are infinitesimal the relationship between the stress and the linearized strain is non-linear. Such approximations would not be logically consistent within the context of explicit theories of Cauchy elasticity or Green elasticity that are currently popular. The elasticity of elasticity K Rajagopal doi:10.1007/s00033-006-6084-5 Zeitschrift für Angewandte Mathematik und Physik (ZAMP), Vol. 58, No. 2. (30 March 2007), pp. 309-317. 2007-10-17T18:40:47-00:00 2007 Zeitschrift für Angewandte Mathematik und Physik (ZAMP) 58 2 309 317 elasticity http://www.citeulike.org/user/norris/article/1598538 <i>Journal of Elasticity, Vol. 17, No. 1. (1 January 1987), pp. 75-83.</i><br /><br />A nonlinear isotropic elastic block is subjected to a homogeneous deformation consisting of simple shear superposed on triaxial extension. Two new relations are established for this deformation which are valid for all nonlinear elastic isotropic materials, and hence are universal relations. The first is a relation between the stretch ratios in the plane of shear and the amount of shear when the deformation is supported only by shear tractions. The second relation is established for a thin-walled cylinder under combined extension, inflation and torsion. Each material element of the cylinder undergoes the same local homogeneous deformation of shear superposed on triaxial extension. The properties of this deformation are used to establish a relation between pressure, twisting moment, angle of twist and current dimensions when no axial force is applied to the cylinder. It is shown that these relations also apply for a mixture of a nonlinear isotropic solid and a fluid. New universal relations for nonlinear isotropic elastic materials KR Rajagopal Alan Wineman doi:10.1007/BF00042450 Journal of Elasticity, Vol. 17, No. 1. (1 January 1987), pp. 75-83. 2007-08-28T12:46:10-00:00 1987 Journal of Elasticity 17 1 75 83 elasticity http://www.citeulike.org/user/norris/article/1277943 <i>Proceedings: Mathematical, Physical and Engineering Sciences, Vol. 461, No. 2061. (2005), pp. 2785-2795.</i> On the nature of constraints for continua undergoing dissipative processes KR Rajagopal AR Srinivasa Proceedings: Mathematical, Physical and Engineering Sciences, Vol. 461, No. 2061. (2005), pp. 2785-2795. 2007-05-04T20:28:25-00:00 2005 Proceedings: Mathematical, Physical and Engineering Sciences 461 2061 2785 2795 The Royal Society bibtex-import http://www.citeulike.org/user/norris/article/1277936 <i>Applications of Mathematics, Vol. 48, No. 4. (2003), pp. 279-319.</i> On Implicit Constitutive Theories KR Rajagopal Applications of Mathematics, Vol. 48, No. 4. (2003), pp. 279-319. 2007-05-04T20:26:16-00:00 2003 Applications of Mathematics 48 4 279 319 Springer bibtex-import http://www.citeulike.org/user/norris/article/1277934 <i>Acta Materialia, Vol. 53, No. 3. (2005), pp. 669-679.</i> A continuum model for the creep of single crystal nickel-base SC Prasad IJ Rao KR Rajagopal Acta Materialia, Vol. 53, No. 3. (2005), pp. 669-679. 2007-05-04T20:24:57-00:00 2005 Acta Materialia 53 3 669 679 bibtex-import http://www.citeulike.org/user/norris/article/1277930 <i>zamp, Vol. 58 (2007), pp. 309-317.</i> The elasticity of elasticity KR Rajagopal zamp, Vol. 58 (2007), pp. 309-317. 2007-05-04T20:23:11-00:00 2007 zamp 58 309 317 elasticity