Variational Methods for Problems from Plasticity Theory and for Generalized Newtonian FluidsSpringer Science & Business Media, 2000 M12 12 - 276 páginas 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. |
Contenido
II | 5 |
III | 6 |
IV | 15 |
V | 27 |
VI | 40 |
IX | 42 |
X | 52 |
XI | 57 |
XXII | 143 |
XXIII | 167 |
XXIV | 180 |
XXV | 193 |
XXVI | 204 |
XXVII | 207 |
XXVIII | 211 |
XXIX | 216 |
XII | 71 |
XIII | 76 |
XIV | 89 |
XV | 98 |
XVI | 100 |
XVII | 107 |
XVIII | 111 |
XIX | 116 |
XX | 126 |
XXI | 131 |
XXX | 228 |
XXXI | 235 |
XXXII | 237 |
XXXIII | 248 |
XXXIV | 251 |
XXXVI | 254 |
XXXVII | 260 |
268 | |
Otras ediciones - Ver todas
Variational Methods for Problems from Plasticity Theory and for Generalized ... Martin Fuchs,Gregory Seregin Vista previa limitada - 2007 |
Variational Methods for Problems from Plasticity Theory and for Generalized ... Martin Fuchs,Gregory Seregin Sin vista previa disponible - 2014 |
Términos y frases comunes
² dx assume B₁ BD(N Bingham bounded BR(T BR(TO Br(xo c₁ condition convergence convex convex function deduce define deformation deformation theory denote displacement field dissipative potential domain dz B1 E(Uk elastic elastoplastic equation estimate exists fluids follows go(t hence Hölder continuity holds imbedding implies L¹(N L²(N Lebesgue Lemma lim inf lim sup linear Lipschitz Lipschitz domain Math minimax problem minimizer Mnxn Newtonian fluids partial regularity plasticity positive constant Prandtl-Eyring problem 2.1 proof of Lemma proof of Theorem prove R₁ reflexive space REMARK satisfying sequence Seregin smooth Sobolev Sobolev spaces space stress tensor Suppose theory TR(TO U(xo variational inequality variational problem VIII Vo+uo volume forces Vv)v w₁ w₂ weak solutions Ω Ω Ωμ მი
Referencias a este libro
Reliable Methods for Computer Simulation: Error Control and Posteriori Estimates Pekka Neittaanmäki,Sergey R. Repin Vista previa limitada - 2004 |
Convex Variational Problems with Linear, Nearly Linear And/or Anisotropic ... Michael Bildhauer Vista previa limitada - 2003 |