Integrodifferential Relations in Linear Elasticity / / Vasily V. Saurin, Georgy V. Kostin.
Deformations of elastic bodies are encountered in many areas in science, engineering and technology. In the last decades, various numerical approaches using the finite element technique have been developed, but many are not adequate to address the full complexity.This work treats the elasticity of d...
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Kostin, Georgy V., author. aut http://id.loc.gov/vocabulary/relators/aut Integrodifferential Relations in Linear Elasticity / Vasily V. Saurin, Georgy V. Kostin. Berlin ; Boston : De Gruyter, [2012] ©2012 1 online resource (280 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda De Gruyter Studies in Mathematical Physics , 2194-3532 ; 10 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 restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star Deformations of elastic bodies are encountered in many areas in science, engineering and technology. In the last decades, various numerical approaches using the finite element technique have been developed, but many are not adequate to address the full complexity.This work treats the elasticity of deformed bodies, including the resulting interior stresses and displacements. Other than comparable books, this work 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. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023) Elasticity. Integrodifferential. Linear Theory. Materials Science. Relations. SCIENCE / Physics / General. bisacsh Integrodifferential Relations. Saurin, Vasily V., author. aut http://id.loc.gov/vocabulary/relators/aut Title is part of eBook package: De Gruyter DG Studies in Mathematical Physics eBook-Package 9783110645309 Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 9783110238570 Title is part of eBook package: De Gruyter DGBA Backlist Physical Sciences 2000-2014 (EN) 9783110238518 Title is part of eBook package: De Gruyter DGBA Physical Sciences 2000 - 2014 9783110637212 ZDB-23-GPS Title is part of eBook package: De Gruyter E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2012 9783110288995 ZDB-23-DGG Title is part of eBook package: De Gruyter E-BOOK PACKAGE MATHEMATICS, PHYSICS, ENGINEERING 2012 9783110293722 ZDB-23-DMI Title is part of eBook package: De Gruyter E-BOOK PAKET MATHEMATIK, PHYSIK, INGENIEURWISS. 2012 9783110288926 ZDB-23-DMP print 9783110270303 https://doi.org/10.1515/9783110271003 https://www.degruyter.com/isbn/9783110271003 Cover https://www.degruyter.com/document/cover/isbn/9783110271003/original |
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English |
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author |
Kostin, Georgy V., Kostin, Georgy V., Saurin, Vasily V., |
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Kostin, Georgy V., Kostin, Georgy V., Saurin, Vasily 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 |
author_facet |
Kostin, Georgy V., Kostin, Georgy V., Saurin, Vasily V., Saurin, Vasily V., Saurin, Vasily V., |
author_variant |
g v k gv gvk g v k gv gvk v v s vv vvs |
author_role |
VerfasserIn VerfasserIn VerfasserIn |
author2 |
Saurin, Vasily V., Saurin, Vasily V., |
author2_variant |
v v s vv vvs |
author2_role |
VerfasserIn VerfasserIn |
author_sort |
Kostin, Georgy V., |
title |
Integrodifferential Relations in Linear Elasticity / |
title_full |
Integrodifferential Relations in Linear Elasticity / Vasily V. Saurin, Georgy V. Kostin. |
title_fullStr |
Integrodifferential Relations in Linear Elasticity / Vasily V. Saurin, Georgy V. Kostin. |
title_full_unstemmed |
Integrodifferential Relations in Linear Elasticity / Vasily V. Saurin, Georgy V. Kostin. |
title_auth |
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_new |
Integrodifferential Relations in Linear Elasticity / |
title_sort |
integrodifferential relations in linear elasticity / |
series |
De Gruyter Studies in Mathematical Physics , |
series2 |
De Gruyter Studies in Mathematical Physics , |
publisher |
De Gruyter, |
publishDate |
2012 |
physical |
1 online resource (280 p.) Issued also in print. |
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 |
isbn |
9783110271003 9783110645309 9783110238570 9783110238518 9783110637212 9783110288995 9783110293722 9783110288926 9783110270303 |
issn |
2194-3532 ; |
url |
https://doi.org/10.1515/9783110271003 https://www.degruyter.com/isbn/9783110271003 https://www.degruyter.com/document/cover/isbn/9783110271003/original |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
530 - Physics |
dewey-ones |
531 - Classical mechanics; solid mechanics |
dewey-full |
531.382 |
dewey-sort |
3531.382 |
dewey-raw |
531.382 |
dewey-search |
531.382 |
doi_str_mv |
10.1515/9783110271003 |
oclc_num |
826857718 |
work_keys_str_mv |
AT kostingeorgyv integrodifferentialrelationsinlinearelasticity AT saurinvasilyv integrodifferentialrelationsinlinearelasticity |
status_str |
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ids_txt_mv |
(DE-B1597)174021 (OCoLC)826857718 |
carrierType_str_mv |
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hierarchy_parent_title |
Title is part of eBook package: De Gruyter DG Studies in Mathematical Physics eBook-Package Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 Title is part of eBook package: De Gruyter DGBA Backlist Physical Sciences 2000-2014 (EN) Title is part of eBook package: De Gruyter DGBA Physical Sciences 2000 - 2014 Title is part of eBook package: De Gruyter E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2012 Title is part of eBook package: De Gruyter E-BOOK PACKAGE MATHEMATICS, PHYSICS, ENGINEERING 2012 Title is part of eBook package: De Gruyter E-BOOK PAKET MATHEMATIK, PHYSIK, INGENIEURWISS. 2012 |
is_hierarchy_title |
Integrodifferential Relations in Linear Elasticity / |
container_title |
Title is part of eBook package: De Gruyter DG Studies in Mathematical Physics eBook-Package |
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