Hamilton's principle in continuum mechanics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Boston [u.a.]
Pitman Advanced Publ. Program
1985
|
| Ausgabe: | 1. publ. |
| Schriftenreihe: | Research notes in mathematics
139 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 106 S. |
| ISBN: | 0273087304 |
Internformat
MARC
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| 100 | 1 | |a Bedford, Anthony |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Hamilton's principle in continuum mechanics |c A. Bedford |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Boston [u.a.] |b Pitman Advanced Publ. Program |c 1985 | |
| 300 | |a 106 S. | ||
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| 490 | 1 | |a Research notes in mathematics |v 139 | |
| 600 | 1 | 4 | |a Hamilton <Sir William Rowan, 1805-1865> |
| 600 | 1 | 4 | |a Hamilton, William Rowan <Sir, 1805-1865> |
| 650 | 4 | |a Milieux continus, Mécanique des | |
| 650 | 4 | |a Continuum mechanics | |
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Datensatz im Suchindex
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|---|---|
| adam_text | Contents
Preface
1 Mechanics of Systems of Particles 1
1.1 The First Problem of the Calculus of Variations 1
1.2 Conservative Systems 5
1.2.1 Hamilton s Principle 5
1.2.2 Constraints 8
1.3 Xonconservative Systems 10
2 Foundations of Continuum Mechanics 13
2.1 Mathematical Preliminaries 13
2.1.1 Inner Product Spaces 13
2.1.2 Linear Transformations 15
2.1.3 Functions. Continuity and Differentiability 17
2.1.4 Fields and the Divergence Theorem 18
2.2 Motion and Deformation 21
2.3 The Comparison Motion 26
2.4 The Fundamental Lemmas 30
3 Mechanics of Continuous Media 33
3.1 The Classical Theories 33
3.1.1 Ideal Fluids 34
3.1.2 Elastic Solids 40
3.1.3 Inelastic Materials 45
3.2 Theories with Microstructure 48
3.2.1 Granular Solids 49
3.2.2 Elastic Solids with Microstructure 53
4 Mechanics of Mixtures 59
4.1 Motions and Comparison Motions of a Mixture 59
4.1.1 Motions 59
4.1.2 Comparison Motions 63
4.2 Mixtures of Ideal Fluids 65
4.2.1 Compressible Fluids 65
4.2.2 Incompressible Fluids 68
4.2.3 Fluids with Microinertia 70
4.3 Mixture of an Ideal Fluid and an Elastic Solid 80
4.4 A Theory of Mixtures with Microstructure 83
5 Discontinuous Fields 88
5.1 Singular Surfaces 88
5.2 An Ideal Fluid Containing a Singular Surface 96
Acknowledgements 99
References 100
|
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| dewey-full | 531 530.1/2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 531 - Classical mechanics 530 - Physics |
| dewey-raw | 531 530.1/2 |
| dewey-search | 531 530.1/2 |
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| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| edition | 1. publ. |
| format | Book |
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| id | DE-604.BV000469180 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:14:25Z |
| institution | BVB |
| isbn | 0273087304 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000289155 |
| oclc_num | 12751256 |
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| physical | 106 S. |
| publishDate | 1985 |
| publishDateSearch | 1985 |
| publishDateSort | 1985 |
| publisher | Pitman Advanced Publ. Program |
| record_format | marc |
| series | Research notes in mathematics |
| series2 | Research notes in mathematics |
| spelling | Bedford, Anthony Verfasser aut Hamilton's principle in continuum mechanics A. Bedford 1. publ. Boston [u.a.] Pitman Advanced Publ. Program 1985 106 S. txt rdacontent n rdamedia nc rdacarrier Research notes in mathematics 139 Hamilton <Sir William Rowan, 1805-1865> Hamilton, William Rowan <Sir, 1805-1865> Milieux continus, Mécanique des Continuum mechanics Hamiltonsches System (DE-588)4139943-2 gnd rswk-swf Hamiltonsches Prinzip (DE-588)4158958-0 gnd rswk-swf Kontinuumsmechanik (DE-588)4032296-8 gnd rswk-swf Kontinuumsmechanik (DE-588)4032296-8 s Hamiltonsches Prinzip (DE-588)4158958-0 s DE-604 Hamiltonsches System (DE-588)4139943-2 s Research notes in mathematics 139 (DE-604)BV000000039 139 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000289155&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bedford, Anthony Hamilton's principle in continuum mechanics Research notes in mathematics Hamilton <Sir William Rowan, 1805-1865> Hamilton, William Rowan <Sir, 1805-1865> Milieux continus, Mécanique des Continuum mechanics Hamiltonsches System (DE-588)4139943-2 gnd Hamiltonsches Prinzip (DE-588)4158958-0 gnd Kontinuumsmechanik (DE-588)4032296-8 gnd |
| subject_GND | (DE-588)4139943-2 (DE-588)4158958-0 (DE-588)4032296-8 |
| title | Hamilton's principle in continuum mechanics |
| title_auth | Hamilton's principle in continuum mechanics |
| title_exact_search | Hamilton's principle in continuum mechanics |
| title_full | Hamilton's principle in continuum mechanics A. Bedford |
| title_fullStr | Hamilton's principle in continuum mechanics A. Bedford |
| title_full_unstemmed | Hamilton's principle in continuum mechanics A. Bedford |
| title_short | Hamilton's principle in continuum mechanics |
| title_sort | hamilton s principle in continuum mechanics |
| topic | Hamilton <Sir William Rowan, 1805-1865> Hamilton, William Rowan <Sir, 1805-1865> Milieux continus, Mécanique des Continuum mechanics Hamiltonsches System (DE-588)4139943-2 gnd Hamiltonsches Prinzip (DE-588)4158958-0 gnd Kontinuumsmechanik (DE-588)4032296-8 gnd |
| topic_facet | Hamilton <Sir William Rowan, 1805-1865> Hamilton, William Rowan <Sir, 1805-1865> Milieux continus, Mécanique des Continuum mechanics Hamiltonsches System Hamiltonsches Prinzip Kontinuumsmechanik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000289155&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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