Lecture Notes in Engineering: A Boundary Element Method for Two-Dimensional Contact Problems
The Boundary Element Method (BEM) has been established as a powerful numerical tool for the analysis of continua in recent years. The method is based on an attempt to transfer the governing differential equations into integral equations over the boundary. Thus, the discretization scheme or the intro...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1989
|
| Schriftenreihe: | Lecture Notes in Engineering
51 |
| Schlagworte: | |
| Online-Zugang: | DE-634 Volltext |
| Zusammenfassung: | The Boundary Element Method (BEM) has been established as a powerful numerical tool for the analysis of continua in recent years. The method is based on an attempt to transfer the governing differential equations into integral equations over the boundary. Thus, the discretization scheme or the intro duction of any approximations must be done over the boundary. This book presents a BEM for two-dimensional elastic, thermo -elastic and body-force contact problems. The formulation is implemented for the general case of contact with various fric tional conditions. The analysis is limited to linear elasto statics and small strain theory. Following a review of the basic nature of contact problems, the analytical basis of the direct formulation of the BEM method is described. The numerical implementation employs three-noded isoparametric line elements for the representa tion of the boundary of the bodies in contact. Opposite nodal points in equi-Iength element-pairs are defined on the two surfaces in the area which is expected to come into contact under an increasing load. The use of appropriate contact IV conditions enables the integral equations for the two bodies to be coupled together. To find the proper contact dimensions and the contact load a combined incremental and iterative approach is utilised. With this approach, the loads are applied progressively, and the sliding and adhering portion of the contact region is established for each load increment using an iterative procedure. A coulomb type of friction law is assumed |
| Beschreibung: | 1 Online-Ressource (VIII, 243 p) |
| ISBN: | 9783642838972 |
| DOI: | 10.1007/978-3-642-83897-2 |
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| 520 | |a The Boundary Element Method (BEM) has been established as a powerful numerical tool for the analysis of continua in recent years. The method is based on an attempt to transfer the governing differential equations into integral equations over the boundary. Thus, the discretization scheme or the intro duction of any approximations must be done over the boundary. This book presents a BEM for two-dimensional elastic, thermo -elastic and body-force contact problems. The formulation is implemented for the general case of contact with various fric tional conditions. The analysis is limited to linear elasto statics and small strain theory. Following a review of the basic nature of contact problems, the analytical basis of the direct formulation of the BEM method is described. The numerical implementation employs three-noded isoparametric line elements for the representa tion of the boundary of the bodies in contact. Opposite nodal points in equi-Iength element-pairs are defined on the two surfaces in the area which is expected to come into contact under an increasing load. The use of appropriate contact IV conditions enables the integral equations for the two bodies to be coupled together. To find the proper contact dimensions and the contact load a combined incremental and iterative approach is utilised. With this approach, the loads are applied progressively, and the sliding and adhering portion of the contact region is established for each load increment using an iterative procedure. A coulomb type of friction law is assumed | ||
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Datensatz im Suchindex
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| author | Karami, Ghodratollah |
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| id | DE-604.BV045187836 |
| illustrated | Not Illustrated |
| indexdate | 2025-01-30T09:01:14Z |
| institution | BVB |
| isbn | 9783642838972 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030577013 |
| oclc_num | 1186309201 |
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| owner | DE-634 |
| owner_facet | DE-634 |
| physical | 1 Online-Ressource (VIII, 243 p) |
| psigel | ZDB-2-ENG ZDB-2-ENG_Archiv ZDB-2-ENG ZDB-2-ENG_Archiv |
| publishDate | 1989 |
| publishDateSearch | 1989 |
| publishDateSort | 1989 |
| publisher | Springer Berlin Heidelberg |
| record_format | marc |
| series2 | Lecture Notes in Engineering |
| spelling | Karami, Ghodratollah Verfasser aut Lecture Notes in Engineering A Boundary Element Method for Two-Dimensional Contact Problems by Ghodratollah Karami Berlin, Heidelberg Springer Berlin Heidelberg 1989 1 Online-Ressource (VIII, 243 p) txt rdacontent c rdamedia cr rdacarrier Lecture Notes in Engineering 51 The Boundary Element Method (BEM) has been established as a powerful numerical tool for the analysis of continua in recent years. The method is based on an attempt to transfer the governing differential equations into integral equations over the boundary. Thus, the discretization scheme or the intro duction of any approximations must be done over the boundary. This book presents a BEM for two-dimensional elastic, thermo -elastic and body-force contact problems. The formulation is implemented for the general case of contact with various fric tional conditions. The analysis is limited to linear elasto statics and small strain theory. Following a review of the basic nature of contact problems, the analytical basis of the direct formulation of the BEM method is described. The numerical implementation employs three-noded isoparametric line elements for the representa tion of the boundary of the bodies in contact. Opposite nodal points in equi-Iength element-pairs are defined on the two surfaces in the area which is expected to come into contact under an increasing load. The use of appropriate contact IV conditions enables the integral equations for the two bodies to be coupled together. To find the proper contact dimensions and the contact load a combined incremental and iterative approach is utilised. With this approach, the loads are applied progressively, and the sliding and adhering portion of the contact region is established for each load increment using an iterative procedure. A coulomb type of friction law is assumed Engineering Building Construction Appl.Mathematics/Computational Methods of Engineering Computer Hardware Software Engineering/Programming and Operating Systems Mechanics Computer hardware Software engineering Applied mathematics Engineering mathematics Buildings / Design and construction Building Construction Engineering, Architectural Kontaktwechselwirkung (DE-588)4212943-6 gnd rswk-swf Randwertproblem (DE-588)4048395-2 gnd rswk-swf Randelemente-Methode (DE-588)4076508-8 gnd rswk-swf Berechnung (DE-588)4120997-7 gnd rswk-swf Kontaktkraft (DE-588)4192757-6 gnd rswk-swf Kontaktkraft (DE-588)4192757-6 s Berechnung (DE-588)4120997-7 s Randelemente-Methode (DE-588)4076508-8 s DE-604 Kontaktwechselwirkung (DE-588)4212943-6 s Randwertproblem (DE-588)4048395-2 s Erscheint auch als Druck-Ausgabe 9783540515623 https://doi.org/10.1007/978-3-642-83897-2 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Karami, Ghodratollah Lecture Notes in Engineering A Boundary Element Method for Two-Dimensional Contact Problems Engineering Building Construction Appl.Mathematics/Computational Methods of Engineering Computer Hardware Software Engineering/Programming and Operating Systems Mechanics Computer hardware Software engineering Applied mathematics Engineering mathematics Buildings / Design and construction Building Construction Engineering, Architectural Kontaktwechselwirkung (DE-588)4212943-6 gnd Randwertproblem (DE-588)4048395-2 gnd Randelemente-Methode (DE-588)4076508-8 gnd Berechnung (DE-588)4120997-7 gnd Kontaktkraft (DE-588)4192757-6 gnd |
| subject_GND | (DE-588)4212943-6 (DE-588)4048395-2 (DE-588)4076508-8 (DE-588)4120997-7 (DE-588)4192757-6 |
| title | Lecture Notes in Engineering A Boundary Element Method for Two-Dimensional Contact Problems |
| title_auth | Lecture Notes in Engineering A Boundary Element Method for Two-Dimensional Contact Problems |
| title_exact_search | Lecture Notes in Engineering A Boundary Element Method for Two-Dimensional Contact Problems |
| title_full | Lecture Notes in Engineering A Boundary Element Method for Two-Dimensional Contact Problems by Ghodratollah Karami |
| title_fullStr | Lecture Notes in Engineering A Boundary Element Method for Two-Dimensional Contact Problems by Ghodratollah Karami |
| title_full_unstemmed | Lecture Notes in Engineering A Boundary Element Method for Two-Dimensional Contact Problems by Ghodratollah Karami |
| title_short | Lecture Notes in Engineering |
| title_sort | lecture notes in engineering a boundary element method for two dimensional contact problems |
| title_sub | A Boundary Element Method for Two-Dimensional Contact Problems |
| topic | Engineering Building Construction Appl.Mathematics/Computational Methods of Engineering Computer Hardware Software Engineering/Programming and Operating Systems Mechanics Computer hardware Software engineering Applied mathematics Engineering mathematics Buildings / Design and construction Building Construction Engineering, Architectural Kontaktwechselwirkung (DE-588)4212943-6 gnd Randwertproblem (DE-588)4048395-2 gnd Randelemente-Methode (DE-588)4076508-8 gnd Berechnung (DE-588)4120997-7 gnd Kontaktkraft (DE-588)4192757-6 gnd |
| topic_facet | Engineering Building Construction Appl.Mathematics/Computational Methods of Engineering Computer Hardware Software Engineering/Programming and Operating Systems Mechanics Computer hardware Software engineering Applied mathematics Engineering mathematics Buildings / Design and construction Building Construction Engineering, Architectural Kontaktwechselwirkung Randwertproblem Randelemente-Methode Berechnung Kontaktkraft |
| url | https://doi.org/10.1007/978-3-642-83897-2 |
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