Elasticity and plasticity of large deformations: an introduction
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin ; Heidelberg
Springer
2012
|
| Ausgabe: | 3. ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | Literaturangaben |
| Beschreibung: | XVIII, 345 S. graph. Darst. 24 cm |
| ISBN: | 9783642246142 3642246141 |
Internformat
MARC
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| 100 | 1 | |a Bertram, Albrecht |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Elasticity and plasticity of large deformations |b an introduction |c Albrecht Bertram |
| 250 | |a 3. ed. | ||
| 264 | 1 | |a Berlin ; Heidelberg |b Springer |c 2012 | |
| 300 | |a XVIII, 345 S. |b graph. Darst. |c 24 cm | ||
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Datensatz im Suchindex
| _version_ | 1807955643438465024 |
|---|---|
| adam_text |
IMAGE 1
CONTENTS IX
CONTENTS
LIST OF FREQUENTLY USED SYMBOLS XI
LIST OF SELECTED SCIENTISTS XVII
INTRODUCTION 1
1 MATHEMATICAL PREPARATION 3
1.1 REPETITIONS FROM VECTOR ALGEBRA 5
1.2 TENSOR ALGEBRA 10
1.2.1 TENSOR PRODUCT AND TENSOR COMPONENTS 17
1.2.2 THE EIGENVALUE PROBLEM 21
1.2.3 SPECIAL TENSORS 29
1.2.4 TENSORS OF HIGHER ORDER 35
1.2.5 ISOTROPIE TENSOR-FUNCTIONS 46
1.3 TENSOR ANALYSIS 53
1.4 THE EUCLIDEAN POINT SPACE 71
1.4.1 THECOVARIANT DERIVATIVE 76
1.4.2 INTEGRAL THEOREMS 87
2 KINEMATICS 91
2.1 PLACEMENTS OF BODIES 91
2.2 TIME DERIVATIVES 94
2.3 SPATIAL DERIVATIVES 95
3 BALANCE LAWS 121
3.1 MASS 121
3.2 THE GENERAL BALANCE EQUATION 122
3.3 OBSERVER-DEPENDENT LAWS OF MOTION 130
3.4 STRESS ANALYSIS 136
3.5 THE THERMODYNAMICAL BALANCES 149
4 THE PRINCIPLES OF MATERIAL THEORY 153
4.1 DETERMINISM 153
4.2 LOCAL ACTION 154
4.3 EUCLIDEAN INVARIANCES 155
4.4 EXTENSION OF THE PRINCIPLES TO THERMODYNAMICS 159
5 INTERNAL CONSTRAINTS 167
5.1 MECHANICAL INTERNAL CONSTRAINTS 167
5.2 THERMO-MECHANICAL INTERNAL CONSTRAINTS 172
6 ELASTICITY 177
6.1 REDUCED ELASTIC FORMS 178
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1014976278
DIGITALISIERT DURCH
IMAGE 2
CONTENTS
6.2 THERMO-ELASTICITY 179
6.3 CHANGE OF THE REFERENCE PLACEMENT 180
6.4 ELASTIC ISOMORPHY 182
6.5 ELASTIC SYMMETRY 185
6.6 ISOTROPIE ELASTICITY 195
6.7 INCREMENTAL ELASTIC LAWS 200
6.8 SYMMETRIES IN THERMO-ELASTICITY 205
7 HYPERELASTICITY 209
7.1 THERMODYNAMICAL RESTRICTIONS 209
7.2 HYPERELASTIC MATERIALS 211
7.3 HYPERELASTIC ISOMORPHY AND SYMMETRY 216
7.4 ISOTROPIE HYPERELASTICITY 218
8 SOLUTIONS 231
8.1 BOUNDARY VALUE PROBLEMS 231
8.2 UNIVERSAL SOLUTIONS 238
9 INELASTICITY 251
10 PLASTICITY 255
10.1 ELASTIC RANGES 256
10.2 THERMOPIASTICITY 286
10.3 VISCOPLASTICITY 293
10.4 PLASTICITY THEORIES WITH INTERMEDIATE PLACEMENTS 296 10.5 CRYSTAL
PLASTICITY 306
10.6 MATERIAL PLASTICITY 319
REFERENCES 321
INDEX 341 |
| any_adam_object | 1 |
| author | Bertram, Albrecht |
| author_facet | Bertram, Albrecht |
| author_role | aut |
| author_sort | Bertram, Albrecht |
| author_variant | a b ab |
| building | Verbundindex |
| bvnumber | BV040940073 |
| classification_rvk | UF 2000 |
| ctrlnum | (OCoLC)774036913 (DE-599)DNB1014976278 |
| dewey-full | 531.38 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 531 - Classical mechanics |
| dewey-raw | 531.38 |
| dewey-search | 531.38 |
| dewey-sort | 3531.38 |
| dewey-tens | 530 - Physics |
| discipline | Maschinenbau / Maschinenwesen Physik |
| edition | 3. ed. |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-08-21T00:41:01Z |
| institution | BVB |
| isbn | 9783642246142 3642246141 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-025918848 |
| oclc_num | 774036913 |
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| owner_facet | DE-83 DE-522 DE-B768 DE-29T |
| physical | XVIII, 345 S. graph. Darst. 24 cm |
| publishDate | 2012 |
| publishDateSearch | 2012 |
| publishDateSort | 2012 |
| publisher | Springer |
| record_format | marc |
| spelling | Bertram, Albrecht Verfasser aut Elasticity and plasticity of large deformations an introduction Albrecht Bertram 3. ed. Berlin ; Heidelberg Springer 2012 XVIII, 345 S. graph. Darst. 24 cm txt rdacontent n rdamedia nc rdacarrier Literaturangaben Deformationstheorie (DE-588)4461771-9 gnd rswk-swf Kontinuumsmechanik (DE-588)4032296-8 gnd rswk-swf Elastizität (DE-588)4014159-7 gnd rswk-swf Nichtlineare Mechanik (DE-588)4042095-4 gnd rswk-swf Plastizität (DE-588)4046283-3 gnd rswk-swf Kontinuumsmechanik (DE-588)4032296-8 s Nichtlineare Mechanik (DE-588)4042095-4 s DE-604 Plastizität (DE-588)4046283-3 s Elastizität (DE-588)4014159-7 s Deformationstheorie (DE-588)4461771-9 s 1\p DE-604 Erscheint auch als Online-Ausgabe 978-3-642-24615-9 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3876041&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025918848&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Bertram, Albrecht Elasticity and plasticity of large deformations an introduction Deformationstheorie (DE-588)4461771-9 gnd Kontinuumsmechanik (DE-588)4032296-8 gnd Elastizität (DE-588)4014159-7 gnd Nichtlineare Mechanik (DE-588)4042095-4 gnd Plastizität (DE-588)4046283-3 gnd |
| subject_GND | (DE-588)4461771-9 (DE-588)4032296-8 (DE-588)4014159-7 (DE-588)4042095-4 (DE-588)4046283-3 |
| title | Elasticity and plasticity of large deformations an introduction |
| title_auth | Elasticity and plasticity of large deformations an introduction |
| title_exact_search | Elasticity and plasticity of large deformations an introduction |
| title_full | Elasticity and plasticity of large deformations an introduction Albrecht Bertram |
| title_fullStr | Elasticity and plasticity of large deformations an introduction Albrecht Bertram |
| title_full_unstemmed | Elasticity and plasticity of large deformations an introduction Albrecht Bertram |
| title_short | Elasticity and plasticity of large deformations |
| title_sort | elasticity and plasticity of large deformations an introduction |
| title_sub | an introduction |
| topic | Deformationstheorie (DE-588)4461771-9 gnd Kontinuumsmechanik (DE-588)4032296-8 gnd Elastizität (DE-588)4014159-7 gnd Nichtlineare Mechanik (DE-588)4042095-4 gnd Plastizität (DE-588)4046283-3 gnd |
| topic_facet | Deformationstheorie Kontinuumsmechanik Elastizität Nichtlineare Mechanik Plastizität |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=3876041&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025918848&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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