Hemivariational Inequalities: Applications in Mechanics and Engineering
The aim of the present book is the formulation, mathematical study and numerical treatment of static and dynamic problems in mechanics and engineering sciences involving nonconvex and nonsmooth energy functions, or nonmonotone and multivalued stress-strain laws. Such problems lead to a new type of v...
Gespeichert in:
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1993
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| Schlagworte: | |
| Online-Zugang: | BTU01 Volltext |
| Zusammenfassung: | The aim of the present book is the formulation, mathematical study and numerical treatment of static and dynamic problems in mechanics and engineering sciences involving nonconvex and nonsmooth energy functions, or nonmonotone and multivalued stress-strain laws. Such problems lead to a new type of variational forms, the hemivariational inequalities, which also lead to multivalued differential or integral equations. Innovative numerical methods are presented for the treament of realistic engineering problems. This book is the first to deal with variational theory of engineering problems involving nonmonotone multivalue realations, their mechanical foundation, their mathematical study (existence and certain approximation results) and the corresponding eigenvalue and optimal control problems. All the numerical applications give innovative answers to as yet unsolved or partially solved engineering problems, e.g. the adhesive contact in cracks, the delamination problem, the sawtooth stress-strain laws in composites, the shear connectors in composite beams, the semirigid connections in steel structures, the adhesive grasping in robotics, etc. The book closes with the consideration of hemivariational inequalities for fractal type geometries and with the neural network approach to the numerical treatment of hemivariational inequalities |
| Beschreibung: | 1 Online-Ressource (XVI, 451 p. 22 illus) |
| ISBN: | 9783642516771 |
| DOI: | 10.1007/978-3-642-51677-1 |
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| 520 | |a The aim of the present book is the formulation, mathematical study and numerical treatment of static and dynamic problems in mechanics and engineering sciences involving nonconvex and nonsmooth energy functions, or nonmonotone and multivalued stress-strain laws. Such problems lead to a new type of variational forms, the hemivariational inequalities, which also lead to multivalued differential or integral equations. Innovative numerical methods are presented for the treament of realistic engineering problems. This book is the first to deal with variational theory of engineering problems involving nonmonotone multivalue realations, their mechanical foundation, their mathematical study (existence and certain approximation results) and the corresponding eigenvalue and optimal control problems. All the numerical applications give innovative answers to as yet unsolved or partially solved engineering problems, e.g. the adhesive contact in cracks, the delamination problem, the sawtooth stress-strain laws in composites, the shear connectors in composite beams, the semirigid connections in steel structures, the adhesive grasping in robotics, etc. The book closes with the consideration of hemivariational inequalities for fractal type geometries and with the neural network approach to the numerical treatment of hemivariational inequalities | ||
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| isbn | 9783642516771 |
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| spelling | Panagiotopoulos, Panagiotis D. Verfasser aut Hemivariational Inequalities Applications in Mechanics and Engineering by Panagiotis D. Panagiotopoulos Berlin, Heidelberg Springer Berlin Heidelberg 1993 1 Online-Ressource (XVI, 451 p. 22 illus) txt rdacontent c rdamedia cr rdacarrier The aim of the present book is the formulation, mathematical study and numerical treatment of static and dynamic problems in mechanics and engineering sciences involving nonconvex and nonsmooth energy functions, or nonmonotone and multivalued stress-strain laws. Such problems lead to a new type of variational forms, the hemivariational inequalities, which also lead to multivalued differential or integral equations. Innovative numerical methods are presented for the treament of realistic engineering problems. This book is the first to deal with variational theory of engineering problems involving nonmonotone multivalue realations, their mechanical foundation, their mathematical study (existence and certain approximation results) and the corresponding eigenvalue and optimal control problems. All the numerical applications give innovative answers to as yet unsolved or partially solved engineering problems, e.g. the adhesive contact in cracks, the delamination problem, the sawtooth stress-strain laws in composites, the shear connectors in composite beams, the semirigid connections in steel structures, the adhesive grasping in robotics, etc. The book closes with the consideration of hemivariational inequalities for fractal type geometries and with the neural network approach to the numerical treatment of hemivariational inequalities Engineering Appl.Mathematics/Computational Methods of Engineering Theoretical and Applied Mechanics Civil Engineering Automotive Engineering Applied mathematics Engineering mathematics Mechanics Mechanics, Applied Automotive engineering Civil engineering Variationsungleichung (DE-588)4187420-1 gnd rswk-swf Technik (DE-588)4059205-4 gnd rswk-swf Variationsungleichung (DE-588)4187420-1 s Technik (DE-588)4059205-4 s 1\p DE-604 Erscheint auch als Druck-Ausgabe 9783642516795 https://doi.org/10.1007/978-3-642-51677-1 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Panagiotopoulos, Panagiotis D. Hemivariational Inequalities Applications in Mechanics and Engineering Engineering Appl.Mathematics/Computational Methods of Engineering Theoretical and Applied Mechanics Civil Engineering Automotive Engineering Applied mathematics Engineering mathematics Mechanics Mechanics, Applied Automotive engineering Civil engineering Variationsungleichung (DE-588)4187420-1 gnd Technik (DE-588)4059205-4 gnd |
| subject_GND | (DE-588)4187420-1 (DE-588)4059205-4 |
| title | Hemivariational Inequalities Applications in Mechanics and Engineering |
| title_auth | Hemivariational Inequalities Applications in Mechanics and Engineering |
| title_exact_search | Hemivariational Inequalities Applications in Mechanics and Engineering |
| title_full | Hemivariational Inequalities Applications in Mechanics and Engineering by Panagiotis D. Panagiotopoulos |
| title_fullStr | Hemivariational Inequalities Applications in Mechanics and Engineering by Panagiotis D. Panagiotopoulos |
| title_full_unstemmed | Hemivariational Inequalities Applications in Mechanics and Engineering by Panagiotis D. Panagiotopoulos |
| title_short | Hemivariational Inequalities |
| title_sort | hemivariational inequalities applications in mechanics and engineering |
| title_sub | Applications in Mechanics and Engineering |
| topic | Engineering Appl.Mathematics/Computational Methods of Engineering Theoretical and Applied Mechanics Civil Engineering Automotive Engineering Applied mathematics Engineering mathematics Mechanics Mechanics, Applied Automotive engineering Civil engineering Variationsungleichung (DE-588)4187420-1 gnd Technik (DE-588)4059205-4 gnd |
| topic_facet | Engineering Appl.Mathematics/Computational Methods of Engineering Theoretical and Applied Mechanics Civil Engineering Automotive Engineering Applied mathematics Engineering mathematics Mechanics Mechanics, Applied Automotive engineering Civil engineering Variationsungleichung Technik |
| url | https://doi.org/10.1007/978-3-642-51677-1 |
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