Variational methods are applied to prove the existence of weak solutions for boundary value problems from the deformation theory of plasticity as well as for the slow, steady state flow of generalized Newtonian fluids including the Bingham and Prandtl-Eyring model. For perfect plasticity the role of the stress tensor is emphasized by studying the dual variational problem in appropriate function spaces. The main results describe the analytic properties of weak solutions, e.g. differentiability of velocity fields and continuity of stresses. The monograph addresses researchers and graduate students interested in applications of variational and PDE methods in the mechanics of solids and fluids.
| ISBN: | 9783540413974 |
| Publication date: | 12th December 2000 |
| Author: | Martin Fuchs, Gregory Seregin |
| Publisher: | Springer an imprint of Springer Berlin Heidelberg |
| Format: | Paperback |
| Pagination: | 269 pages |
| Series: | Lecture Notes in Mathematics |
| Genres: |
Applied mathematics Differential calculus and equations Classical mechanics Mathematical physics |
Variational methods are applied to prove the existence of weak solutions for boundary value problems from the deformation theory of plasticity as well as for the slow, steady state flow of generalized Newtonian fluids including the Bingham and Prandtl-Eyring model. For perfect plasticity the role of the stress tensor is emphasized by studying the dual variational problem in appropriate function spaces. The main results describe the analytic properties of weak solutions, e.g. differentiability of velocity fields and continuity of stresses. The monograph addresses researchers and graduate students interested in applications of variational and PDE methods in the mechanics of solids and fluids.
Variational Methods for Problems from Plasticity Theory and for Generalized Newtonian Fluids features in the following genres: Applied mathematics, Differential calculus and equations, Classical mechanics, Mathematical physics
Variational Methods for Problems from Plasticity Theory and for Generalized Newtonian Fluids is available in Paperback
Variational Methods for Problems from Plasticity Theory and for Generalized Newtonian Fluids was written by Martin Fuchs, Gregory Seregin and published by Springer an imprint of Springer Berlin Heidelberg
Variational Methods for Problems from Plasticity Theory and for Generalized Newtonian Fluids has 269 pages
Yes it is part of Lecture Notes in Mathematics series