Nonlinear Problems of Elasticity:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1995
|
| Schriftenreihe: | Applied Mathematical Sciences
107 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This second edition is an enlarged, completely updated, and extensively revised version of the authoritative first edition. It is devoted to the detailed study of illuminating specific problems of nonlinear elasticity, directed toward the scientist, engineer, and mathematician who wish to see careful treatments of precisely formulated problems. Special emphasis is placed on the role of nonlinear material response. The mathematical tools from nonlinear analysis are given self-contained presentations where they are needed. This book begins with chapters on (geometrically exact theories of) strings, rods, and shells, and on the applications of bifurcation theory and the calculus of variations to problems for these bodies. The book continues with chapters on tensors, three-dimensional continuum mechanics, three-dimensional elasticity, large-strain plasticity, general theories of rods and shells, and dynamical problems. Each chapter contains a wealth of interesting, challenging, and tractable exercises. Reviews of the first edition: "A scholarly work, it is uncompromising in its approach to model formulation, while achieving striking generality in the analysis of particular problems. It will undoubtedly become a standard research reference in elasticity but will be appreciated also by teachers of both solid mechanics and applied analysis for its clear derivation of equations and wealth of examples." --- J. M. Ball, (Bulletin of the American Mathematical Society), 1996. "It is destined to become a standard reference in the field which belongs on the bookshelf of anyone working on the application of mathematics to continuum mechanics. For graduate students, it provides a fascinating introduction to an active field of mathematical research." --- M. Renardy, (SIAM Review), 1995. "The monograph is a masterpiece for writing a modern theoretical treatise on a field of natural sciences. It is highly recommended to all scientists, engineers and mathematicians interested in a careful treatment of uncompromised nonlinear problems of elasticity, and it is a 'must' for applied mathematicians working on such problems." --- L. v Wolfersdorf, (Zeitschrift fur Angewandte Mathematik und Mechanik), 1995 |
| Beschreibung: | 1 Online-Ressource (XVIII, 752 p) |
| ISBN: | 9781475741476 9781475741490 |
| DOI: | 10.1007/978-1-4757-4147-6 |
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| 500 | |a Each chapter contains a wealth of interesting, challenging, and tractable exercises. Reviews of the first edition: "A scholarly work, it is uncompromising in its approach to model formulation, while achieving striking generality in the analysis of particular problems. It will undoubtedly become a standard research reference in elasticity but will be appreciated also by teachers of both solid mechanics and applied analysis for its clear derivation of equations and wealth of examples." --- J. M. Ball, (Bulletin of the American Mathematical Society), 1996. "It is destined to become a standard reference in the field which belongs on the bookshelf of anyone working on the application of mathematics to continuum mechanics. For graduate students, it provides a fascinating introduction to an active field of mathematical research." --- | ||
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Datensatz im Suchindex
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| any_adam_object | |
| author | Antman, Stuart S. 1939- |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
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| dewey-search | 515 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4757-4147-6 |
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| id | DE-604.BV042421582 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:09Z |
| institution | BVB |
| isbn | 9781475741476 9781475741490 |
| language | English |
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| publishDate | 1995 |
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| series | Applied Mathematical Sciences |
| series2 | Applied Mathematical Sciences |
| spelling | Antman, Stuart S. 1939- Verfasser (DE-588)1032263768 aut Nonlinear Problems of Elasticity by Stuart S. Antman New York, NY Springer New York 1995 1 Online-Ressource (XVIII, 752 p) txt rdacontent c rdamedia cr rdacarrier Applied Mathematical Sciences 107 This second edition is an enlarged, completely updated, and extensively revised version of the authoritative first edition. It is devoted to the detailed study of illuminating specific problems of nonlinear elasticity, directed toward the scientist, engineer, and mathematician who wish to see careful treatments of precisely formulated problems. Special emphasis is placed on the role of nonlinear material response. The mathematical tools from nonlinear analysis are given self-contained presentations where they are needed. This book begins with chapters on (geometrically exact theories of) strings, rods, and shells, and on the applications of bifurcation theory and the calculus of variations to problems for these bodies. The book continues with chapters on tensors, three-dimensional continuum mechanics, three-dimensional elasticity, large-strain plasticity, general theories of rods and shells, and dynamical problems. Each chapter contains a wealth of interesting, challenging, and tractable exercises. Reviews of the first edition: "A scholarly work, it is uncompromising in its approach to model formulation, while achieving striking generality in the analysis of particular problems. It will undoubtedly become a standard research reference in elasticity but will be appreciated also by teachers of both solid mechanics and applied analysis for its clear derivation of equations and wealth of examples." --- J. M. Ball, (Bulletin of the American Mathematical Society), 1996. "It is destined to become a standard reference in the field which belongs on the bookshelf of anyone working on the application of mathematics to continuum mechanics. For graduate students, it provides a fascinating introduction to an active field of mathematical research." --- M. Renardy, (SIAM Review), 1995. "The monograph is a masterpiece for writing a modern theoretical treatise on a field of natural sciences. It is highly recommended to all scientists, engineers and mathematicians interested in a careful treatment of uncompromised nonlinear problems of elasticity, and it is a 'must' for applied mathematicians working on such problems." --- L. v Wolfersdorf, (Zeitschrift fur Angewandte Mathematik und Mechanik), 1995 Mathematics Global analysis (Mathematics) Engineering Analysis Theoretical, Mathematical and Computational Physics Computational Intelligence Ingenieurwissenschaften Mathematik Elastizitätstheorie (DE-588)4123124-7 gnd rswk-swf Nichtlineares Phänomen (DE-588)4136065-5 gnd rswk-swf Nichtlineare Elastizitätstheorie (DE-588)4171750-8 gnd rswk-swf Elastizitätstheorie (DE-588)4123124-7 s Nichtlineares Phänomen (DE-588)4136065-5 s 1\p DE-604 Nichtlineare Elastizitätstheorie (DE-588)4171750-8 s 2\p DE-604 Applied Mathematical Sciences 107 (DE-604)BV040244599 107 https://doi.org/10.1007/978-1-4757-4147-6 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Antman, Stuart S. 1939- Nonlinear Problems of Elasticity Applied Mathematical Sciences Mathematics Global analysis (Mathematics) Engineering Analysis Theoretical, Mathematical and Computational Physics Computational Intelligence Ingenieurwissenschaften Mathematik Elastizitätstheorie (DE-588)4123124-7 gnd Nichtlineares Phänomen (DE-588)4136065-5 gnd Nichtlineare Elastizitätstheorie (DE-588)4171750-8 gnd |
| subject_GND | (DE-588)4123124-7 (DE-588)4136065-5 (DE-588)4171750-8 |
| title | Nonlinear Problems of Elasticity |
| title_auth | Nonlinear Problems of Elasticity |
| title_exact_search | Nonlinear Problems of Elasticity |
| title_full | Nonlinear Problems of Elasticity by Stuart S. Antman |
| title_fullStr | Nonlinear Problems of Elasticity by Stuart S. Antman |
| title_full_unstemmed | Nonlinear Problems of Elasticity by Stuart S. Antman |
| title_short | Nonlinear Problems of Elasticity |
| title_sort | nonlinear problems of elasticity |
| topic | Mathematics Global analysis (Mathematics) Engineering Analysis Theoretical, Mathematical and Computational Physics Computational Intelligence Ingenieurwissenschaften Mathematik Elastizitätstheorie (DE-588)4123124-7 gnd Nichtlineares Phänomen (DE-588)4136065-5 gnd Nichtlineare Elastizitätstheorie (DE-588)4171750-8 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Engineering Analysis Theoretical, Mathematical and Computational Physics Computational Intelligence Ingenieurwissenschaften Mathematik Elastizitätstheorie Nichtlineares Phänomen Nichtlineare Elastizitätstheorie |
| url | https://doi.org/10.1007/978-1-4757-4147-6 |
| volume_link | (DE-604)BV040244599 |
| work_keys_str_mv | AT antmanstuarts nonlinearproblemsofelasticity |