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.
General
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