Variational Methods for Problems from Plasticity Theory and for Generalized Newtonian Fluids

• Main Authors: Fuchs, Martin (Author, http://id.loc.gov/vocabulary/relators/aut), Seregin, Gregory (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2000.
• Edition: 1st ed. 2000.
• Series: Lecture Notes in Mathematics, 1749
• Subjects: Applied mathematics.; Engineering mathematics.; Mechanics.; Mathematical physics.; Partial differential equations.; Applications of Mathematics.; Classical Mechanics.; Theoretical, Mathematical and Computational Physics.; Partial Differential Equations.

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...

Table of Contents:

• Weak solutions to boundary value problems in the deformation theory of perfect elastoplasticity
• Differentiability properties of weak solutions to boundary value problems in the deformation theory of plasticity
• Quasi-static fluids of generalized Newtonian type
• Fluids of Prandtl-Eyring type and plastic materials with logarithmic hardening law.