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Variational Methods for Problems from Plasticity Theory and for Generalized Newtonian Fluids (Lecture Notes in Mathematics) [Paperback]

Martin Fuchs (Author), Gregory Seregin (Author)

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Book Description

ISBN-10: 3540413979 | ISBN-13: 978-3540413974 | Publication Date: February 8, 2001 | Edition: 1

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.

#outer_postBodyPS { display: none; } #psGradient { display: none; } #psPlaceHolder { display: none; } #psExpand { display: none; } 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.

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Product Details

Paperback: 275 pages
Publisher: Springer; 1 edition (February 8, 2001)
Language: English
ISBN-10: 3540413979
ISBN-13: 978-3540413974
Product Dimensions: 9.2 x 6.1 x 0.6 inches
Shipping Weight: 14.4 ounces (View shipping rates and policies)
Amazon Best Sellers Rank: #5,593,074 in Books (See Top 100 in Books)

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First Sentence:
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Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
perfect elastoplasticity, bounded deformation, dissipative potential, elastoplastic body, minimax problem, partial regularity, strain velocity, variational integrals, imbedding theorem, local boundedness, perfect plasticity, local minimizer, plasticity theory, variational inequality, variational problems, deformation theory, conjugate function, minimizing sequence

Key Phrases - Capitalized Phrases (CAPs): (learn more)
Main Theorem

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Citations (learn more)

This book cites 88 books:

Total Colourings of Graphs (Lecture Notes in Mathematics (Springer-Verlag), 1623.) by H. P. Yap in Back Matter
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Notes on Infinite Permutation Groups (Lecture Notes in Mathematics) by Meenaxi Bhattacharjee in Back Matter
Elemental Methods in Ergodic Ramsey Theory by Randall McCutcheon in Back Matter
Projective Modules and Complete Intersections (Lecture Notes in Mathematics) by Satya Mandal in Back Matter

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