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130626 ||| eng |
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|a 9780387874609
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100 |
1 |
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|a Sofonea, Mircea
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245 |
0 |
0 |
|a Variational Inequalities with Applications
|h Elektronische Ressource
|b A Study of Antiplane Frictional Contact Problems
|c by Mircea Sofonea, Andaluzia Matei
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250 |
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|a 1st ed. 2009
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260 |
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|a New York, NY
|b Springer New York
|c 2009, 2009
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300 |
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|a XIX, 230 p. 5 illus
|b online resource
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505 |
0 |
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|a Background on Functional Analysis -- Preliminaries -- Function Spaces -- Variational Inequalities -- Elliptic Variational Inequalities -- Evolutionary Variational Inequalities with Viscosity -- Evolutionary Variational Inequalities -- Volterra-type Variational Inequalities -- Background on Contact Mechanics -- Modeling of Contact Processes -- Antiplane Shear -- Antiplane Frictional Contact Problems -- Elastic Problems -- Viscoelastic Problems with Short Memory -- Viscoelastic Problems with Long Memory
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653 |
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|a Mechanics, Applied
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653 |
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|a Mathematical analysis
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653 |
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|a Calculus of Variations and Optimization
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653 |
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|a Analysis
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653 |
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|a Solids
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653 |
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|a Operator theory
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653 |
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|a Solid Mechanics
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653 |
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|a Operator Theory
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653 |
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|a Manifolds (Mathematics)
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653 |
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|a Differential Equations
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653 |
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|a Mathematical optimization
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653 |
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|a Global analysis (Mathematics)
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653 |
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|a Global Analysis and Analysis on Manifolds
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653 |
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|a Differential equations
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653 |
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|a Calculus of variations
|
700 |
1 |
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|a Matei, Andaluzia
|e [author]
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041 |
0 |
7 |
|a eng
|2 ISO 639-2
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989 |
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|b Springer
|a Springer eBooks 2005-
|
490 |
0 |
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|a Advances in Mechanics and Mathematics
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028 |
5 |
0 |
|a 10.1007/978-0-387-87460-9
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856 |
4 |
0 |
|u https://doi.org/10.1007/978-0-387-87460-9?nosfx=y
|x Verlag
|3 Volltext
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082 |
0 |
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|a 515.64
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082 |
0 |
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|a 519.6
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520 |
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|a This book is motivated by stimulating problems in contact mechanics, emphasizing antiplane frictional contact with linearly elastic and viscoelastic materials. It focuses on the essentials with respect to the qualitative aspects of several classes of variational inequalities (VIs). Clearly presented, easy to follow, and well-referenced, this work treats almost entirely VIs of the second kind, with much of the material being state-of-the-art. Applied mathematicians and advanced graduate students wishing to enter the field of VIs would benefit from this work as it sets out in detail basic features and results in the mathematical theory of contact mechanics. Researchers interested in applications of numerical analysis pertaining to VIs would also find the work useful. Assuming a reasonable knowledge of functional analysis, this volume is a must for graduate students, practitioners, and engineers engaged in contact mechanics
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