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...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2012
|
| Schriftenreihe: | London Mathematical Society lecture note series
398 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 UBY01 Volltext |
| Zusammenfassung: | 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 |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xiv, 280 pages) |
| ISBN: | 9781139104166 |
| DOI: | 10.1017/CBO9781139104166 |
Internformat
MARC
| LEADER | 00000nmm a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV043942188 | ||
| 003 | DE-604 | ||
| 005 | 20230302 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 161206s2012 |||| o||u| ||||||eng d | ||
| 020 | |a 9781139104166 |c Online |9 978-1-139-10416-6 | ||
| 024 | 7 | |a 10.1017/CBO9781139104166 |2 doi | |
| 035 | |a (ZDB-20-CBO)CR9781139104166 | ||
| 035 | |a (OCoLC)967776393 | ||
| 035 | |a (DE-599)BVBBV043942188 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-12 |a DE-92 |a DE-706 | ||
| 082 | 0 | |a 620.1/05 |2 23 | |
| 084 | |a SI 320 |0 (DE-625)143123: |2 rvk | ||
| 100 | 1 | |a Sofonea, Mircea |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Mathematical models in contact mechanics |c M. Sofonea, A. Matei |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 2012 | |
| 300 | |a 1 online resource (xiv, 280 pages) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a London Mathematical Society lecture note series |v 398 | |
| 500 | |a Title from publisher's bibliographic system (viewed on 05 Oct 2015) | ||
| 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 | ||
| 650 | 4 | |a Mathematisches Modell | |
| 650 | 4 | |a Contact mechanics / Mathematical models | |
| 650 | 0 | 7 | |a Variationsrechnung |0 (DE-588)4062355-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Kontaktmechanik |0 (DE-588)4798356-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Kontaktmechanik |0 (DE-588)4798356-5 |D s |
| 689 | 0 | 1 | |a Variationsrechnung |0 (DE-588)4062355-5 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 700 | 1 | |a Matei, Andaluzia |e Sonstige |4 oth | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druckausgabe |z 978-1-107-60665-4 |
| 856 | 4 | 0 | |u https://doi.org/10.1017/CBO9781139104166 |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
| 912 | |a ZDB-20-CBO | ||
| 999 | |a oai:aleph.bib-bvb.de:BVB01-029351157 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 966 | e | |u https://doi.org/10.1017/CBO9781139104166 |l BSB01 |p ZDB-20-CBO |q BSB_PDA_CBO |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1017/CBO9781139104166 |l FHN01 |p ZDB-20-CBO |q FHN_PDA_CBO |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1017/CBO9781139104166 |l UBY01 |p ZDB-20-CBO |q UBY_PDA_CBO_Kauf22 |x Verlag |3 Volltext | |
Datensatz im Suchindex
| _version_ | 1804176884717584384 |
|---|---|
| any_adam_object | |
| author | Sofonea, Mircea |
| author_facet | Sofonea, Mircea |
| author_role | aut |
| author_sort | Sofonea, Mircea |
| author_variant | m s ms |
| building | Verbundindex |
| bvnumber | BV043942188 |
| classification_rvk | SI 320 |
| collection | ZDB-20-CBO |
| 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 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03525nmm a2200529zcb4500</leader><controlfield tag="001">BV043942188</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20230302 </controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">161206s2012 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781139104166</subfield><subfield code="c">Online</subfield><subfield code="9">978-1-139-10416-6</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1017/CBO9781139104166</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-20-CBO)CR9781139104166</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)967776393</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV043942188</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-12</subfield><subfield code="a">DE-92</subfield><subfield code="a">DE-706</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">620.1/05</subfield><subfield code="2">23</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SI 320</subfield><subfield code="0">(DE-625)143123:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Sofonea, Mircea</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Mathematical models in contact mechanics</subfield><subfield code="c">M. Sofonea, A. Matei</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge</subfield><subfield code="b">Cambridge University Press</subfield><subfield code="c">2012</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (xiv, 280 pages)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">London Mathematical Society lecture note series</subfield><subfield code="v">398</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Title from publisher's bibliographic system (viewed on 05 Oct 2015)</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="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</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="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</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematisches Modell</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Contact mechanics / Mathematical models</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Variationsrechnung</subfield><subfield code="0">(DE-588)4062355-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Kontaktmechanik</subfield><subfield code="0">(DE-588)4798356-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Kontaktmechanik</subfield><subfield code="0">(DE-588)4798356-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Variationsrechnung</subfield><subfield code="0">(DE-588)4062355-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Matei, Andaluzia</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druckausgabe</subfield><subfield code="z">978-1-107-60665-4</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1017/CBO9781139104166</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveröffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-20-CBO</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-029351157</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/CBO9781139104166</subfield><subfield code="l">BSB01</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">BSB_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/CBO9781139104166</subfield><subfield code="l">FHN01</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">FHN_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/CBO9781139104166</subfield><subfield code="l">UBY01</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">UBY_PDA_CBO_Kauf22</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV043942188 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:17Z |
| institution | BVB |
| isbn | 9781139104166 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029351157 |
| oclc_num | 967776393 |
| open_access_boolean | |
| owner | DE-12 DE-92 DE-706 |
| owner_facet | DE-12 DE-92 DE-706 |
| physical | 1 online resource (xiv, 280 pages) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO ZDB-20-CBO UBY_PDA_CBO_Kauf22 |
| publishDate | 2012 |
| publishDateSearch | 2012 |
| publishDateSort | 2012 |
| publisher | Cambridge University Press |
| record_format | marc |
| 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 |
| work_keys_str_mv | AT sofoneamircea mathematicalmodelsincontactmechanics AT mateiandaluzia mathematicalmodelsincontactmechanics |