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- catalog abstract "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.".
- catalog contributor b11998490.
- catalog contributor b11998491.
- catalog created "2000.".
- catalog date "2000".
- catalog date "2000.".
- catalog dateCopyrighted "2000.".
- catalog description "Includes bibliographical references and index.".
- catalog description "Introduction -- 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 -- Appendix A: Density of smooth functions in spaces of tensor-valued functions; Density of smooth functions in spaces of vector-valued functions; Some properties of the space BD; Jensen's inequality -- Quasi-static fluids of generalized Newtonian type -- Fluids of Prandtl-Eyring type and plastic materials with logarithmic hardening law -- Appendix B: Density results -- Notation and tools from functional analysis.".
- catalog description "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.".
- catalog extent "vi, 269 p. ;".
- catalog identifier "3540413979 (alk. paper)".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1749.".
- catalog isPartOf "Lecture notes in mathematics, 0075-8434 ; 1749".
- catalog issued "2000".
- catalog issued "2000.".
- catalog language "eng".
- catalog publisher "New York : Springer,".
- catalog subject "510 s 531/.385 21".
- catalog subject "Calculus of variations.".
- catalog subject "Differential equations, partial.".
- catalog subject "Mathematical physics.".
- catalog subject "Newtonian fluids.".
- catalog subject "Physics.".
- catalog subject "Plasticity.".
- catalog subject "QA3 .L28 no. 1749 QA931".
- catalog tableOfContents "Introduction -- 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 -- Appendix A: Density of smooth functions in spaces of tensor-valued functions; Density of smooth functions in spaces of vector-valued functions; Some properties of the space BD; Jensen's inequality -- Quasi-static fluids of generalized Newtonian type -- Fluids of Prandtl-Eyring type and plastic materials with logarithmic hardening law -- Appendix B: Density results -- Notation and tools from functional analysis.".
- catalog title "Variational methods for problems from plasticity theory and for generalized Newtonian fluids / Martin Fuchs, Gregory Seregin.".
- catalog type "text".