TY - BOOK ID - 16811196 TI - Variational methods for problems from plasticity theory and for generalized Newtonian fluids AU - Fuchs, Martin AU - Seregin, Gregory PY - 2000 VL - 1749 SN - 3540413979 3540444424 9783540413974 PB - Berlin: Springer, DB - UniCat KW - Plasticity. KW - Newtonian fluids. KW - Calculus of variations. KW - Calcul des variations KW - Calculus of variations KW - Newtonian fluids KW - Plasticiteit KW - Plasticity KW - Plasticité KW - Variatieberekening KW - Applied mathematics. KW - Engineering mathematics. KW - Mechanics. KW - Mathematical physics. KW - Partial differential equations. KW - Applications of Mathematics. KW - Classical Mechanics. KW - Theoretical, Mathematical and Computational Physics. KW - Partial Differential Equations. KW - Partial differential equations KW - Physical mathematics KW - Physics KW - Classical mechanics KW - Newtonian mechanics KW - Dynamics KW - Quantum theory KW - Engineering KW - Engineering analysis KW - Mathematical analysis KW - Mathematics UR - https://www.unicat.be/uniCat?func=search&query=sysid:16811196 AB - 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. ER -