Wed, 09 Jul 2008 16:42:49 BST CiteULike: norris Segev http://www.citeulike.org/user/norris/author/Segev CiteULike.org en-gb Copyright © 2004-2008 citeulike.org http://www.citeulike.org/user/norris/article/2761194 <i>Mathematics and Mechanics of Solids, Vol. 11, No. 3. (1 June 2006), pp. 229-250.</i><br /><br />Forces in continuum mechanics are analyzed as 0-currents of geometric measure theory. The representation of forces by stresses is discussed and the flat norm of a force is expressed in terms of stress fields. An analogous treatment expresses the Sobolev norm of a force in terms of stress fields. In both cases, one obtains bounds on the stress fields that are in equilibrium with a given force. The analysis is universal in the sense that it is independent of any constitutive relation. 10.1177/1081286505040402 On Norms of Force Functionals and Stress Representations R Segev G Debotton doi:10.1177/1081286505040402 Mathematics and Mechanics of Solids, Vol. 11, No. 3. (1 June 2006), pp. 229-250. 2008-05-06T13:47:11-00:00 2006 Mathematics and Mechanics of Solids 11 3 229 250 no-tag