Elasticity and plasticity of large deformations: an introduction
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2008
|
| Edition: | 2. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 317 - 333 |
| Physical Description: | XVIII, 339 S. graph. Darst. 24 cm |
| ISBN: | 9783540693994 |
Staff View
MARC
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| 245 | 1 | 0 | |a Elasticity and plasticity of large deformations |b an introduction |c Albrecht Bertram |
| 250 | |a 2. ed. | ||
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2008 | |
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Record in the Search Index
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| adam_text | 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 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
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
6.2 Thermo-Elasticity................................................................................179
6.3 Change of the Reference Placement....................................................180
CONTENTS
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......................................................................................................229
8.1 Boundary Value Problems...................................................................229
8.2 Universal Solutions.............................................................................236
9 Inelasticity...................................................................................................249
10 Plasticity......................................................................................................253
10.1 Elastic Ranges.....................................................................................254
10.2 Thermoplasticity..................................................................................284
10.3 Viscoplasticity.....................................................................................291
10.4 Plasticity Theories with Intermediate Placements...............................293
10.5 Crystal Plasticity..................................................................................303
References...........................................................................................................317
Index....................................................................................................................335
|
| any_adam_object | 1 |
| author | Bertram, Albrecht |
| author_facet | Bertram, Albrecht |
| author_role | aut |
| author_sort | Bertram, Albrecht |
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| building | Verbundindex |
| bvnumber | BV035313163 |
| callnumber-first | Q - Science |
| callnumber-label | QA931 |
| callnumber-raw | QA931 |
| callnumber-search | QA931 |
| callnumber-sort | QA 3931 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | UF 2000 |
| ctrlnum | (OCoLC)233935049 (DE-599)BVBBV035313163 |
| dewey-full | 531.38 620.1123 |
| dewey-hundreds | 500 - Natural sciences and mathematics 600 - Technology (Applied sciences) |
| dewey-ones | 531 - Classical mechanics 620 - Engineering and allied operations |
| dewey-raw | 531.38 620.1123 |
| dewey-search | 531.38 620.1123 |
| dewey-sort | 3531.38 |
| dewey-tens | 530 - Physics 620 - Engineering and allied operations |
| discipline | Physik |
| edition | 2. ed. |
| format | Book |
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| id | DE-604.BV035313163 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T21:31:03Z |
| institution | BVB |
| isbn | 9783540693994 |
| language | English |
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| physical | XVIII, 339 S. graph. Darst. 24 cm |
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| publisher | Springer |
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| spelling | Bertram, Albrecht Verfasser aut Elasticity and plasticity of large deformations an introduction Albrecht Bertram 2. ed. Berlin [u.a.] Springer 2008 XVIII, 339 S. graph. Darst. 24 cm txt rdacontent n rdamedia nc rdacarrier Literaturverz. S. 317 - 333 Deformations (Mechanics) Elasticity Plasticity Deformationstheorie (DE-588)4461771-9 gnd rswk-swf Elastizität (DE-588)4014159-7 gnd rswk-swf Plastizität (DE-588)4046283-3 gnd rswk-swf Kontinuumsmechanik (DE-588)4032296-8 gnd rswk-swf Nichtlineare Mechanik (DE-588)4042095-4 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 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017117882&sequence=000002&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 Deformations (Mechanics) Elasticity Plasticity Deformationstheorie (DE-588)4461771-9 gnd Elastizität (DE-588)4014159-7 gnd Plastizität (DE-588)4046283-3 gnd Kontinuumsmechanik (DE-588)4032296-8 gnd Nichtlineare Mechanik (DE-588)4042095-4 gnd |
| subject_GND | (DE-588)4461771-9 (DE-588)4014159-7 (DE-588)4046283-3 (DE-588)4032296-8 (DE-588)4042095-4 |
| 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) Elasticity Plasticity Deformationstheorie (DE-588)4461771-9 gnd Elastizität (DE-588)4014159-7 gnd Plastizität (DE-588)4046283-3 gnd Kontinuumsmechanik (DE-588)4032296-8 gnd Nichtlineare Mechanik (DE-588)4042095-4 gnd |
| topic_facet | Deformations (Mechanics) Elasticity Plasticity Deformationstheorie Elastizität Plastizität Kontinuumsmechanik Nichtlineare Mechanik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017117882&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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