Mathematical theory of hemivariational inequalities and applications:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York u.a.
Dekker
1995
|
| Series: | Pure and applied mathematics
188 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XVI, 267 S. |
| ISBN: | 0824793307 |
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MARC
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| 245 | 1 | 0 | |a Mathematical theory of hemivariational inequalities and applications |c Z. Naniewicz ; P. D. Panagiotopoulos |
| 264 | 1 | |a New York u.a. |b Dekker |c 1995 | |
| 300 | |a XVI, 267 S. | ||
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| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a Pure and applied mathematics |v 188 | |
| 650 | 7 | |a Inégalités hémivariationnelles |2 ram | |
| 650 | 7 | |a Mathématiques de l'ingénieur |2 ram | |
| 650 | 4 | |a Engineering mathematics | |
| 650 | 4 | |a Hemivariational inequalities | |
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Record in the Search Index
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| adam_text |
Contents
Preface V
Introduction XI
Guidelines for the Reader, Abbreviations XV
1 Introductory Material 1
1.1 Elements of Convex Analysis 1
1.2 Elements of Nonconvex Nonsmooth Analysis 10
1.3 Maximal Monotone Operators and Variational Inequalities . 19
1.4 On the Formulation of Hemivariational Inequalities and Related
Topics 26
2 Pseudo Monotonicity and Generalized Pseudo Monotonicity 41
2.1 Pseudo Monotone and Generalized Pseudo Monotone Mappings.
Basic Properties 41
2.2 Nonconvex Functions with Generalized Gradient of Pseudo or
Generalized Pseudo Monotone Type 53
3 Hemivariational Inequalities for Static One dimensional Nonconvex Su
perpotential Laws 65
3.1 Coercive Hemivariational Inequalities 65
3.2 Semicoercive Hemivariational Inequalities 73
3.3 The Substationarity of the Energy 77
3.4 Variational Hemivariational Inequalities 80
3.5 Applications in Mechanics and Engineering 85
3.5.1 Contact of a Linear Elastic Body with an Adhesive Support 85
3.5.2 Adhesively Connected Sandwich Plates 86
4 Hemivariational Inequalities for Locally Lipschitz Functionals . 95
4.1 The Class of Locally Lipschitz Functions with Pseudo Monotone
and Quasi Pseudo Monotone Generalized Gradients 95
4.2 Pointwise Minima and Maxima of Functions from the Classes
QPM(V) and PM(V) and Compositions with Linear Compact
Operators 102
4.3 Hemivariational Inequalities Involving Functions from QPAl¬
and PM Classes 115
VII
VIII Contents
4.4 Variational Hemivariational Inequalities 121
4.5 Quasi Hemivariational Inequalities 123
4.6 Applications to Mechanics and Engineering 126
4.6.1 Two and Three dimensional Nonconvex Superpotential
Laws 126
4.6.2 The General Adhesive Contact and Friction Problem . . 130
4.6.3 On the Fuzzy Friction and Adhesive Contact Problem.
The Case of Locking Support 132
4.6.4 Nonmonotone Multivalued Relations in Structural 133
Analysis
4.6.5 Variational Hemivariational Inequalities in the Theory of
Laminated von Karrnan Plates 135
4.6.6 Rigid Viscoplastic Flow Problems in Cylindrical Pipes
with Adhesion or Nonmonotone Friction 141
5 Hemivariational Inequalities for Multidimensional Superpotential Law 145
5.1 Formulation of the Problem 145
5.2 Hemivariational Inequalities with a Coercive Operator 148
5.3 Hemivariational Inequalities with Strongly Monotone Operator . 161
5.4 Hemivariational Inequalities with Relaxed Directional Growth
Condition 168
5.5 Applications to Mechanics, Engineering and Economics 179
5.5.1 Nonmonotone Skin Friction in Plane Elasticity 179
5.5.2 The General Problem of Masonry Structures 181
5.5.3 On the Nonconvex Semipermeability Problem 185
5.5.4 Hemivariational Inequalities in Nonlinear Elasticity Prob¬
lems 188
5.5.5 Nonmonotone Laws in Networks 191
6 Noncoercive Hemivariational Inequalities Related to Free Boundary Prob¬
lems 193
6.1 A System of a Variational and a Hemivariational Inequality Re¬
lated to Delamination Problems 194
6.2 The Strain Energy Function 198
6.3 Study of the Case of Partial Delamination 200
6.4 Study of the General Case 202
7 Constrained Problems for Nonconvex Star Shaped Admissible Sets . 223
7.1 Distance Function for Star Shaped Sets. Basic Properties . 223
7.2 Constrained Hemivariational Inequalities 225
7.2.1 General Method 225
7.2.2 Union of a Finite Collection of Convex Sets 227
7.2.3 The Case of a Compact Operator 231
7.3 Constrained Problems with Strongly Monotone Operators . . . 234
7.4 Variational Inequalities with Nonconvex Domain 237
Contents IX
7.5 Applications to the Plasticity Theory with Nonconvex Yield Con¬
dition 242
7.6 Applications to the Theory of Elasticity 246
7.6.1 The Signorini Problem in Nonlinear Elasticity for Star
Shaped Closed Sets 246
7.6.2 Constrained Skin Effects in Plane Nonlinear Elasticity . 248
References 251
Index 265 |
| any_adam_object | 1 |
| author | Naniewicz, Z. Panagiōtopulos, Panagiōtēs D. 1950-1998 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV010008151 |
| illustrated | Not Illustrated |
| indexdate | 2024-08-28T00:25:15Z |
| institution | BVB |
| isbn | 0824793307 |
| language | English |
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| physical | XVI, 267 S. |
| publishDate | 1995 |
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| publisher | Dekker |
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| series | Pure and applied mathematics |
| series2 | Pure and applied mathematics |
| spelling | Naniewicz, Z. Verfasser aut Mathematical theory of hemivariational inequalities and applications Z. Naniewicz ; P. D. Panagiotopoulos New York u.a. Dekker 1995 XVI, 267 S. txt rdacontent n rdamedia nc rdacarrier Pure and applied mathematics 188 Inégalités hémivariationnelles ram Mathématiques de l'ingénieur ram Engineering mathematics Hemivariational inequalities Variationsungleichung (DE-588)4187420-1 gnd rswk-swf Variationsungleichung (DE-588)4187420-1 s DE-604 Panagiōtopulos, Panagiōtēs D. 1950-1998 Verfasser (DE-588)128484446 aut Pure and applied mathematics 188 (DE-604)BV000001885 188 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006635359&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Naniewicz, Z. Panagiōtopulos, Panagiōtēs D. 1950-1998 Mathematical theory of hemivariational inequalities and applications Pure and applied mathematics Inégalités hémivariationnelles ram Mathématiques de l'ingénieur ram Engineering mathematics Hemivariational inequalities Variationsungleichung (DE-588)4187420-1 gnd |
| subject_GND | (DE-588)4187420-1 |
| title | Mathematical theory of hemivariational inequalities and applications |
| title_auth | Mathematical theory of hemivariational inequalities and applications |
| title_exact_search | Mathematical theory of hemivariational inequalities and applications |
| title_full | Mathematical theory of hemivariational inequalities and applications Z. Naniewicz ; P. D. Panagiotopoulos |
| title_fullStr | Mathematical theory of hemivariational inequalities and applications Z. Naniewicz ; P. D. Panagiotopoulos |
| title_full_unstemmed | Mathematical theory of hemivariational inequalities and applications Z. Naniewicz ; P. D. Panagiotopoulos |
| title_short | Mathematical theory of hemivariational inequalities and applications |
| title_sort | mathematical theory of hemivariational inequalities and applications |
| topic | Inégalités hémivariationnelles ram Mathématiques de l'ingénieur ram Engineering mathematics Hemivariational inequalities Variationsungleichung (DE-588)4187420-1 gnd |
| topic_facet | Inégalités hémivariationnelles Mathématiques de l'ingénieur Engineering mathematics Hemivariational inequalities Variationsungleichung |
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