Elasticity and plasticity of large deformations: an introduction
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin ; Heidelberg ; New York
Springer
2005
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 307 - 321 |
| Physical Description: | XIV, 326 S. graph. Darst. 24 cm |
| ISBN: | 9783540240334 3540240330 |
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MARC
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Record in the Search Index
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| adam_text | ALBRECHT BERTRAM
ELASTICITY AND PLASTICITY
OF LARGE DEFORMATIONS
AN INTRODUCTION
SPRINGER
VI
CONTENTS
LIST OF FREQUENTLY USED SYMBOLS VIII
LIST OF SELECTED SCIENTISTS ...XIII
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 ISOTROPIC TENSOR FUNCTIONS 46
1.3 TENSOR ANALYSIS 53
1.4 THE EUCLIDEAN POINT SPACE 71
1.4.1 THE COVARIANT 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
VII
4.4 EXTENSION OF THE PRINCIPLES TO THERMODYNAMICS 159
5 INTERNAL CONSTRAINTS 166
5.1 MECHANICAL INTERNAL CONSTRAINTS 166
5.2 THERMO-MECHANICAL INTERNAL CONSTRAINTS 171
6 ELASTICITY 175
6.1 REDUCED ELASTIC FORMS .-. 176
6.2 THERMO-ELASTICITY 177
6.3 CHANGE OF THE REFERENCE PLACEMENT 178
6.4 ELASTIC ISOMORPHY 180
6.5 ELASTIC SYMMETRY 183
. 6.6 ISOTROPIC ELASTICITY 193
6.7 INCREMENTAL ELASTIC LAWS 198
6.8 SYMMETRIES IN THERMO-ELASTICITY 203
7 HYPERELASTICITY 206
7.1 THERMODYNAMICAL RESTRICTIONS 206
7.2 HYPERELASTIC MATERIALS 208
7.3 HYPERELASTIC ISOMORPHY AND SYMMETRY 213
7.4 ISOTROPIC HYPERELASTICITY 215
8 SOLUTIONS 225
8.1 BOUNDARY VALUE PROBLEMS 225
8.2 UNIVERSAL SOLUTIONS 232
9 INELASTICITY 244
10 PLASTICITY 248
10.1 ELASTIC RANGES 249
10.2 THERMOPLASTICITY 275
10.3 VISCOPLASTICITY 282
10.4 PLASTICITY THEORIES WITH INTERMEDIATE PLACEMENTS 284
10.5 CRYSTAL PLASTICITY 294
REFERENCES 307
INDEX 322
|
| any_adam_object | 1 |
| author | Bertram, Albrecht |
| author_facet | Bertram, Albrecht |
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| bvnumber | BV020036279 |
| callnumber-first | Q - Science |
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| dewey-full | 620.1/1232 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
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| dewey-tens | 620 - Engineering and allied operations |
| discipline | Maschinenbau / Maschinenwesen Physik |
| format | Book |
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| isbn | 9783540240334 3540240330 |
| language | English |
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| spelling | Bertram, Albrecht Verfasser aut Elasticity and plasticity of large deformations an introduction Albrecht Bertram Berlin ; Heidelberg ; New York Springer 2005 XIV, 326 S. graph. Darst. 24 cm txt rdacontent n rdamedia nc rdacarrier Literaturverz. S. 307 - 321 Deformations (Mechanics) Textbooks Elasticity Textbooks Plasticity Textbooks Kontinuumsmechanik (DE-588)4032296-8 gnd rswk-swf Nichtlineare Mechanik (DE-588)4042095-4 gnd rswk-swf Plastizität (DE-588)4046283-3 gnd rswk-swf Deformationstheorie (DE-588)4461771-9 gnd rswk-swf Elastizität (DE-588)4014159-7 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 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013357411&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bertram, Albrecht Elasticity and plasticity of large deformations an introduction Deformations (Mechanics) Textbooks Elasticity Textbooks Plasticity Textbooks Kontinuumsmechanik (DE-588)4032296-8 gnd Nichtlineare Mechanik (DE-588)4042095-4 gnd Plastizität (DE-588)4046283-3 gnd Deformationstheorie (DE-588)4461771-9 gnd Elastizität (DE-588)4014159-7 gnd |
| subject_GND | (DE-588)4032296-8 (DE-588)4042095-4 (DE-588)4046283-3 (DE-588)4461771-9 (DE-588)4014159-7 |
| 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 | Deformations (Mechanics) Textbooks Elasticity Textbooks Plasticity Textbooks Kontinuumsmechanik (DE-588)4032296-8 gnd Nichtlineare Mechanik (DE-588)4042095-4 gnd Plastizität (DE-588)4046283-3 gnd Deformationstheorie (DE-588)4461771-9 gnd Elastizität (DE-588)4014159-7 gnd |
| topic_facet | Deformations (Mechanics) Textbooks Elasticity Textbooks Plasticity Textbooks Kontinuumsmechanik Nichtlineare Mechanik Plastizität Deformationstheorie Elastizität |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013357411&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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