Antiplane Elastic Systems:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1962
|
| Schriftenreihe: | Ergebnisse der Angewandten Mathematik, Unter Mitwirkung der Schriftleitung des "Zentralblatt für Mathematik"
8 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The term antiplane was introduced by L. N. G. FlLON to describe such problems as tension, push, bending by couples, torsion, and flexure by a transverse load. Looked at physically these problems differ from those of plane elasticity already treated * in that certain shearing stresses no longer vanish. This book is concerned with antiplane elastic systems in equilibrium or in steady motion within the framework of the linear theory, and is based upon lectures given at the Royal Naval College, Greenwich, to officers of the Royal Corps of Naval Constructors, and on technical reports recently published at the Mathematics Research Center, United States Army. My aim has been to tackle each problem, as far as possible, by direct rather than inverse or guessing methods. Here the complex variable again assumes an important role by simplifying equations and by introducing order into much of the treatment of anisotropic material. The work begins with an introduction to tensors by an intrinsic method which starts from a new and simple definition. This enables elastic properties to be stated with conciseness and physical clarity. This course in no way commits the reader to the exclusive use of tensor calculus, for the structure so built up merges into a more familiar form. Nevertheless it is believed that the tensor methods outlined here will prove useful also in other branches of applied mathematics |
| Beschreibung: | 1 Online-Ressource (VIII, 266 p) |
| ISBN: | 9783642856273 9783540028055 |
| DOI: | 10.1007/978-3-642-85627-3 |
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| 490 | 0 | |a Ergebnisse der Angewandten Mathematik, Unter Mitwirkung der Schriftleitung des "Zentralblatt für Mathematik" |v 8 | |
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Datensatz im Suchindex
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| author | Milne-Thomson, L. M. |
| author_facet | Milne-Thomson, L. M. |
| author_role | aut |
| author_sort | Milne-Thomson, L. M. |
| author_variant | l m m t lmm lmmt |
| building | Verbundindex |
| bvnumber | BV042423049 |
| classification_tum | MAT 000 |
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| dewey-full | 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
| dewey-search | 510 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-642-85627-3 |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:12Z |
| institution | BVB |
| isbn | 9783642856273 9783540028055 |
| language | English |
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| publishDate | 1962 |
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| series2 | Ergebnisse der Angewandten Mathematik, Unter Mitwirkung der Schriftleitung des "Zentralblatt für Mathematik" |
| spelling | Milne-Thomson, L. M. Verfasser aut Antiplane Elastic Systems by L. M. Milne-Thomson Berlin, Heidelberg Springer Berlin Heidelberg 1962 1 Online-Ressource (VIII, 266 p) txt rdacontent c rdamedia cr rdacarrier Ergebnisse der Angewandten Mathematik, Unter Mitwirkung der Schriftleitung des "Zentralblatt für Mathematik" 8 The term antiplane was introduced by L. N. G. FlLON to describe such problems as tension, push, bending by couples, torsion, and flexure by a transverse load. Looked at physically these problems differ from those of plane elasticity already treated * in that certain shearing stresses no longer vanish. This book is concerned with antiplane elastic systems in equilibrium or in steady motion within the framework of the linear theory, and is based upon lectures given at the Royal Naval College, Greenwich, to officers of the Royal Corps of Naval Constructors, and on technical reports recently published at the Mathematics Research Center, United States Army. My aim has been to tackle each problem, as far as possible, by direct rather than inverse or guessing methods. Here the complex variable again assumes an important role by simplifying equations and by introducing order into much of the treatment of anisotropic material. The work begins with an introduction to tensors by an intrinsic method which starts from a new and simple definition. This enables elastic properties to be stated with conciseness and physical clarity. This course in no way commits the reader to the exclusive use of tensor calculus, for the structure so built up merges into a more familiar form. Nevertheless it is believed that the tensor methods outlined here will prove useful also in other branches of applied mathematics Mathematics Mathematics, general Mathematik Elastizität (DE-588)4014159-7 gnd rswk-swf Elastizitätstheorie (DE-588)4123124-7 gnd rswk-swf Tensor (DE-588)4184723-4 gnd rswk-swf Elastizitätstheorie (DE-588)4123124-7 s 1\p DE-604 Elastizität (DE-588)4014159-7 s 2\p DE-604 Tensor (DE-588)4184723-4 s 3\p DE-604 https://doi.org/10.1007/978-3-642-85627-3 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 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Milne-Thomson, L. M. Antiplane Elastic Systems Mathematics Mathematics, general Mathematik Elastizität (DE-588)4014159-7 gnd Elastizitätstheorie (DE-588)4123124-7 gnd Tensor (DE-588)4184723-4 gnd |
| subject_GND | (DE-588)4014159-7 (DE-588)4123124-7 (DE-588)4184723-4 |
| title | Antiplane Elastic Systems |
| title_auth | Antiplane Elastic Systems |
| title_exact_search | Antiplane Elastic Systems |
| title_full | Antiplane Elastic Systems by L. M. Milne-Thomson |
| title_fullStr | Antiplane Elastic Systems by L. M. Milne-Thomson |
| title_full_unstemmed | Antiplane Elastic Systems by L. M. Milne-Thomson |
| title_short | Antiplane Elastic Systems |
| title_sort | antiplane elastic systems |
| topic | Mathematics Mathematics, general Mathematik Elastizität (DE-588)4014159-7 gnd Elastizitätstheorie (DE-588)4123124-7 gnd Tensor (DE-588)4184723-4 gnd |
| topic_facet | Mathematics Mathematics, general Mathematik Elastizität Elastizitätstheorie Tensor |
| url | https://doi.org/10.1007/978-3-642-85627-3 |
| work_keys_str_mv | AT milnethomsonlm antiplaneelasticsystems |