Integrodifferential relations in linear elasticity /:
This work treats the elasticity of deformed bodies, including the resulting interior stresses and displacements. It also takes into account that some of constitutive relations can be considered in a weak form. To discuss this problem properly, the method of integrodifferential relations is used, and...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin ; Boston :
De Gruyter,
©2012.
|
| Schriftenreihe: | De Gruyter studies in mathematical physics ;
10. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | This work treats the elasticity of deformed bodies, including the resulting interior stresses and displacements. It also takes into account that some of constitutive relations can be considered in a weak form. To discuss this problem properly, the method of integrodifferential relations is used, and an advanced numerical technique for stress-strain analysis is presented and evaluated using various discretization techniques. The methods presented in this book are of importance for almost all elasticity problems in materials science and mechanical engineering. |
| Beschreibung: | 1 online resource |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9783110271003 3110271001 1283856816 9781283856812 |
Internformat
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| 245 | 1 | 0 | |a Integrodifferential relations in linear elasticity / |c by Georgy Viktorovich Kostin, Vasily V. Saurin. |
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| 504 | |a Includes bibliographical references and index. | ||
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| 520 | |a This work treats the elasticity of deformed bodies, including the resulting interior stresses and displacements. It also takes into account that some of constitutive relations can be considered in a weak form. To discuss this problem properly, the method of integrodifferential relations is used, and an advanced numerical technique for stress-strain analysis is presented and evaluated using various discretization techniques. The methods presented in this book are of importance for almost all elasticity problems in materials science and mechanical engineering. | ||
| 505 | 0 | 0 | |t Frontmatter -- |t Preface -- |t Contents -- |t Chapter 1. Introduction -- |t Chapter 2. Basic concepts of the linear theory of elasticity -- |t Chapter 3. Conventional variational principles -- |t Chapter 4. The method of integrodifferential relations -- |t Chapter 5. Variational properties of the integrodifferential statements -- |t Chapter 6. Advance finite element technique -- |t Chapter 7. Semi-discretization and variational technique -- |t Chapter 8. An asymptotic approach -- |t Chapter 9. A projection approach -- |t Chapter 10. 3D static beam modeling -- |t Chapter 11. 3D beam vibrations -- |t Appendix A. Vectors and tensors -- |t Appendix B. Sobolev spaces -- |t Bibliography -- |t Index. |
| 546 | |a English. | ||
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| 650 | 0 | |a Plasticity. |0 http://id.loc.gov/authorities/subjects/sh85103150 | |
| 650 | 0 | |a Integro-differential equations. |0 http://id.loc.gov/authorities/subjects/sh85067135 | |
| 650 | 2 | |a Elasticity |0 https://id.nlm.nih.gov/mesh/D004548 | |
| 650 | 6 | |a Élasticité. | |
| 650 | 6 | |a Plasticité. | |
| 650 | 6 | |a Équations intégrodifférentielles. | |
| 650 | 7 | |a plasticity. |2 aat | |
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| 653 | |a Integrodifferential Relations. | ||
| 653 | |a Linear Theory. | ||
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| author | Kostin, G. V. |
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| contents | Frontmatter -- Preface -- Contents -- Chapter 1. Introduction -- Chapter 2. Basic concepts of the linear theory of elasticity -- Chapter 3. Conventional variational principles -- Chapter 4. The method of integrodifferential relations -- Chapter 5. Variational properties of the integrodifferential statements -- Chapter 6. Advance finite element technique -- Chapter 7. Semi-discretization and variational technique -- Chapter 8. An asymptotic approach -- Chapter 9. A projection approach -- Chapter 10. 3D static beam modeling -- Chapter 11. 3D beam vibrations -- Appendix A. Vectors and tensors -- Appendix B. Sobolev spaces -- Bibliography -- Index. |
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It also takes into account that some of constitutive relations can be considered in a weak form. To discuss this problem properly, the method of integrodifferential relations is used, and an advanced numerical technique for stress-strain analysis is presented and evaluated using various discretization techniques. The methods presented in this book are of importance for almost all elasticity problems in materials science and mechanical engineering.</subfield></datafield><datafield tag="505" ind1="0" ind2="0"><subfield code="t">Frontmatter --</subfield><subfield code="t">Preface --</subfield><subfield code="t">Contents --</subfield><subfield code="t">Chapter 1. Introduction --</subfield><subfield code="t">Chapter 2. Basic concepts of the linear theory of elasticity --</subfield><subfield code="t">Chapter 3. Conventional variational principles --</subfield><subfield code="t">Chapter 4. The method of integrodifferential relations --</subfield><subfield code="t">Chapter 5. 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| id | ZDB-4-EBA-ocn826857718 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-27T13:25:10Z |
| institution | BVB |
| isbn | 9783110271003 3110271001 1283856816 9781283856812 |
| language | English |
| lccn | 2012024559 |
| oclc_num | 826857718 |
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| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource |
| psigel | ZDB-4-EBA |
| publishDate | 2012 |
| publishDateSearch | 2012 |
| publishDateSort | 2012 |
| publisher | De Gruyter, |
| record_format | marc |
| series | De Gruyter studies in mathematical physics ; |
| series2 | De Gruyter studies in mathematical physics ; |
| spelling | Kostin, G. V. http://id.loc.gov/authorities/names/n2010043040 Integrodifferential relations in linear elasticity / by Georgy Viktorovich Kostin, Vasily V. Saurin. Berlin ; Boston : De Gruyter, ©2012. 1 online resource text txt rdacontent computer c rdamedia online resource cr rdacarrier De Gruyter studies in mathematical physics ; 10 Includes bibliographical references and index. Print version record. This work treats the elasticity of deformed bodies, including the resulting interior stresses and displacements. It also takes into account that some of constitutive relations can be considered in a weak form. To discuss this problem properly, the method of integrodifferential relations is used, and an advanced numerical technique for stress-strain analysis is presented and evaluated using various discretization techniques. The methods presented in this book are of importance for almost all elasticity problems in materials science and mechanical engineering. Frontmatter -- Preface -- Contents -- Chapter 1. Introduction -- Chapter 2. Basic concepts of the linear theory of elasticity -- Chapter 3. Conventional variational principles -- Chapter 4. The method of integrodifferential relations -- Chapter 5. Variational properties of the integrodifferential statements -- Chapter 6. Advance finite element technique -- Chapter 7. Semi-discretization and variational technique -- Chapter 8. An asymptotic approach -- Chapter 9. A projection approach -- Chapter 10. 3D static beam modeling -- Chapter 11. 3D beam vibrations -- Appendix A. Vectors and tensors -- Appendix B. Sobolev spaces -- Bibliography -- Index. English. Elasticity. http://id.loc.gov/authorities/subjects/sh85041516 Plasticity. http://id.loc.gov/authorities/subjects/sh85103150 Integro-differential equations. http://id.loc.gov/authorities/subjects/sh85067135 Elasticity https://id.nlm.nih.gov/mesh/D004548 Élasticité. Plasticité. Équations intégrodifférentielles. plasticity. aat SCIENCE Mechanics General. bisacsh SCIENCE Mechanics Solids. bisacsh Elasticity fast Integro-differential equations fast Plasticity fast Integrodifferentialgleichung gnd http://d-nb.info/gnd/4161939-0 Lineare Elastizitätstheorie gnd http://d-nb.info/gnd/4139506-2 Elasticity. Integrodifferential Relations. Linear Theory. Materials Science. Saurin, V. V. http://id.loc.gov/authorities/names/n2010043043 has work: Integrodifferential relations in linear elasticity (Text) https://id.oclc.org/worldcat/entity/E39PCGgdQWyDQKVKDP7RcfGv9C https://id.oclc.org/worldcat/ontology/hasWork Print version: Kostin, G.V. Integrodifferential relations in linear elasticity. Berlin ; Boston : De Gruyter, ©2012 9783110270303 (DLC) 2012024559 (OCoLC)808810601 De Gruyter studies in mathematical physics ; 10. http://id.loc.gov/authorities/names/no2012028823 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=522481 Volltext |
| spellingShingle | Kostin, G. V. Integrodifferential relations in linear elasticity / De Gruyter studies in mathematical physics ; Frontmatter -- Preface -- Contents -- Chapter 1. Introduction -- Chapter 2. Basic concepts of the linear theory of elasticity -- Chapter 3. Conventional variational principles -- Chapter 4. The method of integrodifferential relations -- Chapter 5. Variational properties of the integrodifferential statements -- Chapter 6. Advance finite element technique -- Chapter 7. Semi-discretization and variational technique -- Chapter 8. An asymptotic approach -- Chapter 9. A projection approach -- Chapter 10. 3D static beam modeling -- Chapter 11. 3D beam vibrations -- Appendix A. Vectors and tensors -- Appendix B. Sobolev spaces -- Bibliography -- Index. Elasticity. http://id.loc.gov/authorities/subjects/sh85041516 Plasticity. http://id.loc.gov/authorities/subjects/sh85103150 Integro-differential equations. http://id.loc.gov/authorities/subjects/sh85067135 Elasticity https://id.nlm.nih.gov/mesh/D004548 Élasticité. Plasticité. Équations intégrodifférentielles. plasticity. aat SCIENCE Mechanics General. bisacsh SCIENCE Mechanics Solids. bisacsh Elasticity fast Integro-differential equations fast Plasticity fast Integrodifferentialgleichung gnd http://d-nb.info/gnd/4161939-0 Lineare Elastizitätstheorie gnd http://d-nb.info/gnd/4139506-2 |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85041516 http://id.loc.gov/authorities/subjects/sh85103150 http://id.loc.gov/authorities/subjects/sh85067135 https://id.nlm.nih.gov/mesh/D004548 http://d-nb.info/gnd/4161939-0 http://d-nb.info/gnd/4139506-2 |
| title | Integrodifferential relations in linear elasticity / |
| title_alt | Frontmatter -- Preface -- Contents -- Chapter 1. Introduction -- Chapter 2. Basic concepts of the linear theory of elasticity -- Chapter 3. Conventional variational principles -- Chapter 4. The method of integrodifferential relations -- Chapter 5. Variational properties of the integrodifferential statements -- Chapter 6. Advance finite element technique -- Chapter 7. Semi-discretization and variational technique -- Chapter 8. An asymptotic approach -- Chapter 9. A projection approach -- Chapter 10. 3D static beam modeling -- Chapter 11. 3D beam vibrations -- Appendix A. Vectors and tensors -- Appendix B. Sobolev spaces -- Bibliography -- Index. |
| title_auth | Integrodifferential relations in linear elasticity / |
| title_exact_search | Integrodifferential relations in linear elasticity / |
| title_full | Integrodifferential relations in linear elasticity / by Georgy Viktorovich Kostin, Vasily V. Saurin. |
| title_fullStr | Integrodifferential relations in linear elasticity / by Georgy Viktorovich Kostin, Vasily V. Saurin. |
| title_full_unstemmed | Integrodifferential relations in linear elasticity / by Georgy Viktorovich Kostin, Vasily V. Saurin. |
| title_short | Integrodifferential relations in linear elasticity / |
| title_sort | integrodifferential relations in linear elasticity |
| topic | Elasticity. http://id.loc.gov/authorities/subjects/sh85041516 Plasticity. http://id.loc.gov/authorities/subjects/sh85103150 Integro-differential equations. http://id.loc.gov/authorities/subjects/sh85067135 Elasticity https://id.nlm.nih.gov/mesh/D004548 Élasticité. Plasticité. Équations intégrodifférentielles. plasticity. aat SCIENCE Mechanics General. bisacsh SCIENCE Mechanics Solids. bisacsh Elasticity fast Integro-differential equations fast Plasticity fast Integrodifferentialgleichung gnd http://d-nb.info/gnd/4161939-0 Lineare Elastizitätstheorie gnd http://d-nb.info/gnd/4139506-2 |
| topic_facet | Elasticity. Plasticity. Integro-differential equations. Elasticity Élasticité. Plasticité. Équations intégrodifférentielles. plasticity. SCIENCE Mechanics General. SCIENCE Mechanics Solids. Integro-differential equations Plasticity Integrodifferentialgleichung Lineare Elastizitätstheorie |
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| work_keys_str_mv | AT kostingv integrodifferentialrelationsinlinearelasticity AT saurinvv integrodifferentialrelationsinlinearelasticity |