Elasticity and Plasticity of Large Deformations: An Introduction
Saved in:
| Format: | Electronic eBook |
|---|---|
| Language: | English |
| Published: |
Berlin
Springer Berlin
2008
|
| Edition: | 2. Ed. |
| Subjects: | |
| Online Access: | BTU01 FHR01 Volltext Inhaltsverzeichnis |
| Physical Description: | 1 Online-Ressource (I, 350 S.) |
| ISBN: | 9783540694007 |
| DOI: | 10.1007/978-3-540-69400-7 |
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Record in the Search Index
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| adam_text | CONTENTS LIST OF FREQUENTLY USED SYMBOLS XI LISTOF 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 CHANGEOFTHEREFERENCEPLACEMENT 180
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/989261719 DIGITALISIERT
DURCH X 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
|
| adam_txt |
CONTENTS LIST OF FREQUENTLY USED SYMBOLS XI LISTOF 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 CHANGEOFTHEREFERENCEPLACEMENT 180
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/989261719 DIGITALISIERT
DURCH X 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 |
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| spelling | Elasticity and Plasticity of Large Deformations An Introduction Albrecht Bertram 2. Ed. Berlin Springer Berlin 2008 1 Online-Ressource (I, 350 S.) txt rdacontent c rdamedia cr rdacarrier Deformationstheorie (DE-588)4461771-9 gnd rswk-swf Plastizität (DE-588)4046283-3 gnd rswk-swf Elastizität (DE-588)4014159-7 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 Bertram, Albrecht Sonstige oth Erscheint auch als Druck-Ausgabe, Paperback 978-3-540-69399-4 https://doi.org/10.1007/978-3-540-69400-7 Verlag Volltext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016749905&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 | Elasticity and Plasticity of Large Deformations An Introduction Deformationstheorie (DE-588)4461771-9 gnd Plastizität (DE-588)4046283-3 gnd Elastizität (DE-588)4014159-7 gnd Kontinuumsmechanik (DE-588)4032296-8 gnd Nichtlineare Mechanik (DE-588)4042095-4 gnd |
| subject_GND | (DE-588)4461771-9 (DE-588)4046283-3 (DE-588)4014159-7 (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_exact_search_txtP | 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 Plastizität (DE-588)4046283-3 gnd Elastizität (DE-588)4014159-7 gnd Kontinuumsmechanik (DE-588)4032296-8 gnd Nichtlineare Mechanik (DE-588)4042095-4 gnd |
| topic_facet | Deformationstheorie Plastizität Elastizität Kontinuumsmechanik Nichtlineare Mechanik |
| url | https://doi.org/10.1007/978-3-540-69400-7 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016749905&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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