Contact problems in elasticity: a study of variational inequalities and finite element methods
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Philadelphia, Pa.
Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104)
1988
|
| Schriftenreihe: | SIAM studies in applied mathematics
8 |
| Schlagworte: | |
| Online-Zugang: | TUM01 UBW01 UBY01 UER01 Volltext |
| Beschreibung: | Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader Includes bibliographical references (s. 475-489) and index Introduction -- Signorini's problem -- Minimization methods and their variants -- Finite element approximations -- Orderings, trace theorems, Green's formulas and Korn's inequalities -- Signorini's problem revisited -- Signorini's problem for incompressible materials -- Alternate variational principles for Signorini's problem -- Contact problems for large deflections of elastic plates -- Some special contact problems with friction -- Contact problems with nonclassical friction laws -- Contact problems involving deformations and nonlinear materials -- Dynamic friction problems -- Rolling contact problems -- Concluding comments The contact of one deformable body with another lies at the heart of almost every mechanical structure. Here, in a comprehensive treatment, two of the field's leading researchers present a systematic approach to contact problems. Using variational formulations, Kikuchi and Oden derive a multitude of new results, both for classical problems and for nonlinear problems involving large deflections and buckling of thin plates with unilateral supports, dry friction with nonclassical laws, large elastic and elastoplastic deformations with frictional contact, dynamic contacts with dynamic frictional effects, and rolling contacts. This method exposes properties of solutions obscured by classical methods, and it provides a basis for the development of powerful numerical schemes. Among the novel results presented here are algorithms for contact problems with nonlinear and nonlocal friction, and very effective algorithms for solving problems involving the large elastic deformation of hyperelastic bodies with general contact conditions. Includes detailed discussion of numerical methods for nonlinear materials with unilateral contact and friction, with examples of metalforming simulations. Also presents algorithms for the finite deformation rolling contact problem, along with a discussion of numerical examples |
| Beschreibung: | 1 Online-Ressource (xiii, 485 Seiten) |
| ISBN: | 9780898714685 0898714680 |
| DOI: | 10.1137/1.9781611970845 |
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| 245 | 1 | 0 | |a Contact problems in elasticity |b a study of variational inequalities and finite element methods |c N. Kikuchi and J.T. Oden |
| 264 | 1 | |a Philadelphia, Pa. |b Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104) |c 1988 | |
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| 500 | |a Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader | ||
| 500 | |a Includes bibliographical references (s. 475-489) and index | ||
| 500 | |a Introduction -- Signorini's problem -- Minimization methods and their variants -- Finite element approximations -- Orderings, trace theorems, Green's formulas and Korn's inequalities -- Signorini's problem revisited -- Signorini's problem for incompressible materials -- Alternate variational principles for Signorini's problem -- Contact problems for large deflections of elastic plates -- Some special contact problems with friction -- Contact problems with nonclassical friction laws -- Contact problems involving deformations and nonlinear materials -- Dynamic friction problems -- Rolling contact problems -- Concluding comments | ||
| 500 | |a The contact of one deformable body with another lies at the heart of almost every mechanical structure. Here, in a comprehensive treatment, two of the field's leading researchers present a systematic approach to contact problems. Using variational formulations, Kikuchi and Oden derive a multitude of new results, both for classical problems and for nonlinear problems involving large deflections and buckling of thin plates with unilateral supports, dry friction with nonclassical laws, large elastic and elastoplastic deformations with frictional contact, dynamic contacts with dynamic frictional effects, and rolling contacts. This method exposes properties of solutions obscured by classical methods, and it provides a basis for the development of powerful numerical schemes. Among the novel results presented here are algorithms for contact problems with nonlinear and nonlocal friction, and very effective algorithms for solving problems involving the large elastic deformation of hyperelastic bodies with general contact conditions. Includes detailed discussion of numerical methods for nonlinear materials with unilateral contact and friction, with examples of metalforming simulations. Also presents algorithms for the finite deformation rolling contact problem, along with a discussion of numerical examples | ||
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Datensatz im Suchindex
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| author | Kikuchi, Noboru Oden, John Tinsley 1936-2023 |
| author_GND | (DE-588)108393224 |
| author_facet | Kikuchi, Noboru Oden, John Tinsley 1936-2023 |
| author_role | aut aut |
| author_sort | Kikuchi, Noboru |
| author_variant | n k nk j t o jt jto |
| building | Verbundindex |
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| discipline | Mathematik |
| doi_str_mv | 10.1137/1.9781611970845 |
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| id | DE-604.BV039747226 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T00:10:18Z |
| institution | BVB |
| isbn | 9780898714685 0898714680 |
| language | English |
| lccn | 86061596 |
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| series | SIAM studies in applied mathematics |
| series2 | SIAM studies in applied mathematics |
| spelling | Kikuchi, Noboru Verfasser aut Contact problems in elasticity a study of variational inequalities and finite element methods N. Kikuchi and J.T. Oden Philadelphia, Pa. Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104) 1988 1 Online-Ressource (xiii, 485 Seiten) txt rdacontent c rdamedia cr rdacarrier SIAM studies in applied mathematics 8 Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader Includes bibliographical references (s. 475-489) and index Introduction -- Signorini's problem -- Minimization methods and their variants -- Finite element approximations -- Orderings, trace theorems, Green's formulas and Korn's inequalities -- Signorini's problem revisited -- Signorini's problem for incompressible materials -- Alternate variational principles for Signorini's problem -- Contact problems for large deflections of elastic plates -- Some special contact problems with friction -- Contact problems with nonclassical friction laws -- Contact problems involving deformations and nonlinear materials -- Dynamic friction problems -- Rolling contact problems -- Concluding comments The contact of one deformable body with another lies at the heart of almost every mechanical structure. Here, in a comprehensive treatment, two of the field's leading researchers present a systematic approach to contact problems. Using variational formulations, Kikuchi and Oden derive a multitude of new results, both for classical problems and for nonlinear problems involving large deflections and buckling of thin plates with unilateral supports, dry friction with nonclassical laws, large elastic and elastoplastic deformations with frictional contact, dynamic contacts with dynamic frictional effects, and rolling contacts. This method exposes properties of solutions obscured by classical methods, and it provides a basis for the development of powerful numerical schemes. Among the novel results presented here are algorithms for contact problems with nonlinear and nonlocal friction, and very effective algorithms for solving problems involving the large elastic deformation of hyperelastic bodies with general contact conditions. Includes detailed discussion of numerical methods for nonlinear materials with unilateral contact and friction, with examples of metalforming simulations. Also presents algorithms for the finite deformation rolling contact problem, along with a discussion of numerical examples Mathematisches Modell Elasticity Collisions (Physics) / Mathematical models Variational inequalities (Mathematics) Finite element method Elastizität (DE-588)4014159-7 gnd rswk-swf Berührung Mathematik (DE-588)4482168-2 gnd rswk-swf Berührung Mathematik (DE-588)4482168-2 s Elastizität (DE-588)4014159-7 s DE-604 Oden, John Tinsley 1936-2023 (DE-588)108393224 aut Erscheint auch als Druckausgabe 0898714680 Erscheint auch als Druckausgabe 9780898714685 SIAM studies in applied mathematics 8 (DE-604)BV047229985 8 https://doi.org/10.1137/1.9781611970845 Verlag Volltext |
| spellingShingle | Kikuchi, Noboru Oden, John Tinsley 1936-2023 Contact problems in elasticity a study of variational inequalities and finite element methods SIAM studies in applied mathematics Mathematisches Modell Elasticity Collisions (Physics) / Mathematical models Variational inequalities (Mathematics) Finite element method Elastizität (DE-588)4014159-7 gnd Berührung Mathematik (DE-588)4482168-2 gnd |
| subject_GND | (DE-588)4014159-7 (DE-588)4482168-2 |
| title | Contact problems in elasticity a study of variational inequalities and finite element methods |
| title_auth | Contact problems in elasticity a study of variational inequalities and finite element methods |
| title_exact_search | Contact problems in elasticity a study of variational inequalities and finite element methods |
| title_full | Contact problems in elasticity a study of variational inequalities and finite element methods N. Kikuchi and J.T. Oden |
| title_fullStr | Contact problems in elasticity a study of variational inequalities and finite element methods N. Kikuchi and J.T. Oden |
| title_full_unstemmed | Contact problems in elasticity a study of variational inequalities and finite element methods N. Kikuchi and J.T. Oden |
| title_short | Contact problems in elasticity |
| title_sort | contact problems in elasticity a study of variational inequalities and finite element methods |
| title_sub | a study of variational inequalities and finite element methods |
| topic | Mathematisches Modell Elasticity Collisions (Physics) / Mathematical models Variational inequalities (Mathematics) Finite element method Elastizität (DE-588)4014159-7 gnd Berührung Mathematik (DE-588)4482168-2 gnd |
| topic_facet | Mathematisches Modell Elasticity Collisions (Physics) / Mathematical models Variational inequalities (Mathematics) Finite element method Elastizität Berührung Mathematik |
| url | https://doi.org/10.1137/1.9781611970845 |
| volume_link | (DE-604)BV047229985 |
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