On Norms of Force Functionals and Stress Representations

@article{citeulike:2761194, abstract = {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}, author = {Segev, R. and Debotton, G. }, citeulike-article-id = {2761194}, doi = {10.1177/1081286505040402}, journal = {Mathematics and Mechanics of Solids}, month = {June}, number = {3}, pages = {229--250}, posted-at = {2008-05-06 14:47:22}, priority = {2}, title = {On Norms of Force Functionals and Stress Representations}, url = {http://dx.doi.org/10.1177/1081286505040402}, volume = {11}, year = {2006} }

TY - JOUR ID - citeulike:2761194 TI - On Norms of Force Functionals and Stress Representations JF - Mathematics and Mechanics of Solids VL - 11 IS - 3 SP - 229 EP - 250 N2 - 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 AU - Segev, R AU - Debotton, G PY - 2006/06/01/ UR - http://dx.doi.org/10.1177/1081286505040402 ER -