Mathematical models in contact mechanics:
This text provides a complete introduction to the theory of variational inequalities with emphasis on contact mechanics. It covers existence, uniqueness and convergence results for variational inequalities, including the modelling and variational analysis of specific frictional contact problems with...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2012
|
| Series: | London Mathematical Society lecture note series
398 |
| Subjects: | |
| Online Access: | BSB01 FHN01 UBY01 Volltext |
| Summary: | This text provides a complete introduction to the theory of variational inequalities with emphasis on contact mechanics. It covers existence, uniqueness and convergence results for variational inequalities, including the modelling and variational analysis of specific frictional contact problems with elastic, viscoelastic and viscoplastic materials. New models of contact are presented, including contact of piezoelectric materials. Particular attention is paid to the study of history-dependent quasivariational inequalities and to their applications in the study of contact problems with unilateral constraints. The book fully illustrates the cross-fertilisation between modelling and applications on the one hand and nonlinear mathematical analysis on the other. Indeed, the reader will gain an understanding of how new and nonstandard models in contact mechanics lead to new types of variational inequalities and, conversely, how abstract results concerning variational inequalities can be applied to prove the unique solvability of the corresponding contact problems |
| Item Description: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Physical Description: | 1 online resource (xiv, 280 pages) |
| ISBN: | 9781139104166 |
| DOI: | 10.1017/CBO9781139104166 |
Staff View
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| 505 | 8 | |a Preliminaries on functional analysis -- Elliptic variational inequalities -- History-dependent variational inequalities -- Modelling of contact problems -- Analysis of elastic contact problems -- Analysis of elastic-visco plastic contact problems -- Analysis of piezoelectric contact problems | |
| 520 | |a This text provides a complete introduction to the theory of variational inequalities with emphasis on contact mechanics. It covers existence, uniqueness and convergence results for variational inequalities, including the modelling and variational analysis of specific frictional contact problems with elastic, viscoelastic and viscoplastic materials. New models of contact are presented, including contact of piezoelectric materials. Particular attention is paid to the study of history-dependent quasivariational inequalities and to their applications in the study of contact problems with unilateral constraints. The book fully illustrates the cross-fertilisation between modelling and applications on the one hand and nonlinear mathematical analysis on the other. Indeed, the reader will gain an understanding of how new and nonstandard models in contact mechanics lead to new types of variational inequalities and, conversely, how abstract results concerning variational inequalities can be applied to prove the unique solvability of the corresponding contact problems | ||
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Record in the Search Index
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| author | Sofonea, Mircea |
| author_facet | Sofonea, Mircea |
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| contents | Preliminaries on functional analysis -- Elliptic variational inequalities -- History-dependent variational inequalities -- Modelling of contact problems -- Analysis of elastic contact problems -- Analysis of elastic-visco plastic contact problems -- Analysis of piezoelectric contact problems |
| ctrlnum | (ZDB-20-CBO)CR9781139104166 (OCoLC)967776393 (DE-599)BVBBV043942188 |
| dewey-full | 620.1/05 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 620 - Engineering and allied operations |
| dewey-raw | 620.1/05 |
| dewey-search | 620.1/05 |
| dewey-sort | 3620.1 15 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9781139104166 |
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| id | DE-604.BV043942188 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:17Z |
| institution | BVB |
| isbn | 9781139104166 |
| language | English |
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| physical | 1 online resource (xiv, 280 pages) |
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| series2 | London Mathematical Society lecture note series |
| spelling | Sofonea, Mircea Verfasser aut Mathematical models in contact mechanics M. Sofonea, A. Matei Cambridge Cambridge University Press 2012 1 online resource (xiv, 280 pages) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 398 Title from publisher's bibliographic system (viewed on 05 Oct 2015) Preliminaries on functional analysis -- Elliptic variational inequalities -- History-dependent variational inequalities -- Modelling of contact problems -- Analysis of elastic contact problems -- Analysis of elastic-visco plastic contact problems -- Analysis of piezoelectric contact problems This text provides a complete introduction to the theory of variational inequalities with emphasis on contact mechanics. It covers existence, uniqueness and convergence results for variational inequalities, including the modelling and variational analysis of specific frictional contact problems with elastic, viscoelastic and viscoplastic materials. New models of contact are presented, including contact of piezoelectric materials. Particular attention is paid to the study of history-dependent quasivariational inequalities and to their applications in the study of contact problems with unilateral constraints. The book fully illustrates the cross-fertilisation between modelling and applications on the one hand and nonlinear mathematical analysis on the other. Indeed, the reader will gain an understanding of how new and nonstandard models in contact mechanics lead to new types of variational inequalities and, conversely, how abstract results concerning variational inequalities can be applied to prove the unique solvability of the corresponding contact problems Mathematisches Modell Contact mechanics / Mathematical models Variationsrechnung (DE-588)4062355-5 gnd rswk-swf Kontaktmechanik (DE-588)4798356-5 gnd rswk-swf Kontaktmechanik (DE-588)4798356-5 s Variationsrechnung (DE-588)4062355-5 s 1\p DE-604 Matei, Andaluzia Sonstige oth Erscheint auch als Druckausgabe 978-1-107-60665-4 https://doi.org/10.1017/CBO9781139104166 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Sofonea, Mircea Mathematical models in contact mechanics Preliminaries on functional analysis -- Elliptic variational inequalities -- History-dependent variational inequalities -- Modelling of contact problems -- Analysis of elastic contact problems -- Analysis of elastic-visco plastic contact problems -- Analysis of piezoelectric contact problems Mathematisches Modell Contact mechanics / Mathematical models Variationsrechnung (DE-588)4062355-5 gnd Kontaktmechanik (DE-588)4798356-5 gnd |
| subject_GND | (DE-588)4062355-5 (DE-588)4798356-5 |
| title | Mathematical models in contact mechanics |
| title_auth | Mathematical models in contact mechanics |
| title_exact_search | Mathematical models in contact mechanics |
| title_full | Mathematical models in contact mechanics M. Sofonea, A. Matei |
| title_fullStr | Mathematical models in contact mechanics M. Sofonea, A. Matei |
| title_full_unstemmed | Mathematical models in contact mechanics M. Sofonea, A. Matei |
| title_short | Mathematical models in contact mechanics |
| title_sort | mathematical models in contact mechanics |
| topic | Mathematisches Modell Contact mechanics / Mathematical models Variationsrechnung (DE-588)4062355-5 gnd Kontaktmechanik (DE-588)4798356-5 gnd |
| topic_facet | Mathematisches Modell Contact mechanics / Mathematical models Variationsrechnung Kontaktmechanik |
| url | https://doi.org/10.1017/CBO9781139104166 |
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