Modern differential geometric techniques in the theory of continuous distributions of dislocations:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1979
|
| Schriftenreihe: | Lecture notes in mathematics
733 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XII, 206 S. |
| ISBN: | 3540095284 0387095284 |
Internformat
MARC
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| 245 | 1 | 0 | |a Modern differential geometric techniques in the theory of continuous distributions of dislocations |c Frederick Bloom |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1979 | |
| 300 | |a XII, 206 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in mathematics |v 733 | |
| 650 | 4 | |a Dislocations dans les cristaux | |
| 650 | 4 | |a G-structures | |
| 650 | 4 | |a Géométrie différentielle | |
| 650 | 4 | |a Dislocations in crystals | |
| 650 | 4 | |a G-structures | |
| 650 | 4 | |a Geometry, Differential | |
| 650 | 0 | 7 | |a Elastizität |0 (DE-588)4014159-7 |2 gnd |9 rswk-swf |
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| 650 | 0 | 7 | |a Versetzung |g Kristallographie |0 (DE-588)4187993-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Differentialgeometrie |0 (DE-588)4012248-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Differenzierbare Mannigfaltigkeit |0 (DE-588)4012269-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Verteilung |0 (DE-588)4432264-1 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
| _version_ | 1804116717674168320 |
|---|---|
| adam_text | TABLE OF CONTENTS
PREFACE
I. MATHEMATICAL PRELIMINARIES
1. INTRODUCTION p 1
2. DIFFERENTIABLE MANIFOLDS 2
3. FIBRE BUNDLES, ASSOCIATED PRINCIPAL BUNDLES,
AND SOME EXAMPLES 7
4. LIE ALGEBRAS, THE EXPONENTIAL MAP, AND FUNDAMENTAL
FIELDS ON E(M) 11
5. G CONNECTIONS ON E(M) AND PARALLEL TRANSPORT .... 13
6. COVARIANT DERIVATIVES, CURVATURE, TORSION
AND FLATNESS 15
II. MATERIAL UNIFORMITY IN ELASTICITY
1. INTRODUCTION 18
2. BODY MANIFOLDS, MOTIONS, AND DEFORMATION
GRADIENTS 19
3. FORCE AND STRESS IN CONTINUUM MECHANICS 22
X
4. THE CONSTITUTIVE EQUATION OF A SIMPLE
ELASTIC POINT; MATERIAL ISOMORPHISMS AND
MATERIALLY UNIFORM ELASTIC BODIES p 25
5. THE SYMMETRY GROUPS OF A MATERIALLY UNIFORM
SIMPLE ELASTIC BODY 30
6. MATERIAL CHARTS AND MATERIAL ATLASES; THE
MATERIAL TANGENT BUNDLE T(B,$) AND THE BUNDLE
OF REFERENCE FRAMES E(B,$) , 34
7. MATERIAL CONNECTIONS ON SIMPLE ELASTIC BODIES... 41
8. HOMOGENEITY, LOCAL HOMOGENEITY, AND MATERIAL
CONNECTIONS 50
9. FIELD EQUATIONS OF MOTION 56
III. GENERALIZED ELASTIC BODIES
1. INTRODUCTION 63
2. INDEX SETS AND GENERALIZED ELASTIC BODIES 63
3. LOCAL MATERIAL AUTOMORPHISMS, PHASE AND
TRANSITION POINTS, THE PHASE ISOTROPY GROUP 68
4. MATERIAL ISOMORPHISMS IN GENERALIZED
ELASTICITY 70
5. THE MATERIAL-INDEX ATLAS 74
6. MATERIAL TANGENT BUNDLES AND INDEX BUNDLES;
THE MATERIAL AND INDEX ATLASES, HOMOGENEITY
AND LOCAL HOMOGENEITY 81
XI
7. MATERIAL AND INDEX CONNECTIONS 84
8. FIELD EQUATIONS OF MOTION IN GENERALIZED
ELASTICITY 89
IV. ANELASTIC BEHAVIOR AND DISLOCATION MOTION
1. INTRODUCTION 101
2. ELASTIC AND ANELASTIC RESPONSE FUNCTIONS;
ANELASTIC TRANSFORMATIONS 102
3. ANELASTIC SYMMETRY GROUPS AND ANELASTIC INNER
PRODUCTS 107
4. FLOW RULES; UNIQUENESS OF THE ANELASTIC
TRANSFORMATION FUNCTION 112
5. MATERIAL UNIFORMITY IN THE THEORY OF
ANELASTICITY 122
6. ELASTIC AND ANELASTIC MATERIAL CONNECTIONS 133
7. ANELASTIC SOLID BODIES; DISLOCATION MOTIONS 143
8. EQUATIONS OF MOTION FOR ANELASTIC BODIES 152
V. THERMODYNAMICS AND DISLOCATION MOTION
1. INTRODUCTION 156
2. THE CONCEPT OF A THERMOELASTIC POINT; THE
CLAUSIUb-DUHEM INEQUALITY 157
XII
3. GEOMETRIC STRUCTURES ON THERMOELASTIC BODIES
WITH UNIFORM SYMMETRY -. 162
4. THERMODYNAMICS AND ANELASTIC RESPONSE 168
5. SYMMETRY ISOMORPHISM AND SYMMETRY GROUPS IN
THERMO-ANELASTICITY 172
6. STRUCTURAL CONNECTIONS ON THERMO-ANELASTIC
BODIES 177
7. FIELD EQUATIONS FOR THERMOELASTIC AND
THERMO-ANELASTIC BODIES 179
VI. SOME RECENT DIRECTIONS IN CURRENT RESEARCH 199
BIBLIOGRAPHY 203
|
| any_adam_object | 1 |
| author | Bloom, Frederick 1944- |
| author_GND | (DE-588)172005825 |
| author_facet | Bloom, Frederick 1944- |
| author_role | aut |
| author_sort | Bloom, Frederick 1944- |
| author_variant | f b fb |
| building | Verbundindex |
| bvnumber | BV002260405 |
| callnumber-first | Q - Science |
| callnumber-label | QD921 |
| callnumber-raw | QD921 |
| callnumber-search | QD921 |
| callnumber-sort | QD 3921 |
| callnumber-subject | QD - Chemistry |
| classification_rvk | SI 850 |
| ctrlnum | (OCoLC)5219722 (DE-599)BVBBV002260405 |
| dewey-full | 548/.842 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 548 - Crystallography |
| dewey-raw | 548/.842 |
| dewey-search | 548/.842 |
| dewey-sort | 3548 3842 |
| dewey-tens | 540 - Chemistry and allied sciences |
| discipline | Chemie / Pharmazie Mathematik |
| format | Book |
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| id | DE-604.BV002260405 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:42:57Z |
| institution | BVB |
| isbn | 3540095284 0387095284 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001485473 |
| oclc_num | 5219722 |
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| physical | XII, 206 S. |
| publishDate | 1979 |
| publishDateSearch | 1979 |
| publishDateSort | 1979 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Bloom, Frederick 1944- Verfasser (DE-588)172005825 aut Modern differential geometric techniques in the theory of continuous distributions of dislocations Frederick Bloom Berlin [u.a.] Springer 1979 XII, 206 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 733 Dislocations dans les cristaux G-structures Géométrie différentielle Dislocations in crystals Geometry, Differential Elastizität (DE-588)4014159-7 gnd rswk-swf Plastizität (DE-588)4046283-3 gnd rswk-swf Versetzung Kristallographie (DE-588)4187993-4 gnd rswk-swf Differentialgeometrie (DE-588)4012248-7 gnd rswk-swf Differenzierbare Mannigfaltigkeit (DE-588)4012269-4 gnd rswk-swf Verteilung (DE-588)4432264-1 gnd rswk-swf Plastizität (DE-588)4046283-3 s Differentialgeometrie (DE-588)4012248-7 s DE-604 Elastizität (DE-588)4014159-7 s Versetzung Kristallographie (DE-588)4187993-4 s Verteilung (DE-588)4432264-1 s Differenzierbare Mannigfaltigkeit (DE-588)4012269-4 s Lecture notes in mathematics 733 (DE-604)BV000676446 733 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001485473&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bloom, Frederick 1944- Modern differential geometric techniques in the theory of continuous distributions of dislocations Lecture notes in mathematics Dislocations dans les cristaux G-structures Géométrie différentielle Dislocations in crystals Geometry, Differential Elastizität (DE-588)4014159-7 gnd Plastizität (DE-588)4046283-3 gnd Versetzung Kristallographie (DE-588)4187993-4 gnd Differentialgeometrie (DE-588)4012248-7 gnd Differenzierbare Mannigfaltigkeit (DE-588)4012269-4 gnd Verteilung (DE-588)4432264-1 gnd |
| subject_GND | (DE-588)4014159-7 (DE-588)4046283-3 (DE-588)4187993-4 (DE-588)4012248-7 (DE-588)4012269-4 (DE-588)4432264-1 |
| title | Modern differential geometric techniques in the theory of continuous distributions of dislocations |
| title_auth | Modern differential geometric techniques in the theory of continuous distributions of dislocations |
| title_exact_search | Modern differential geometric techniques in the theory of continuous distributions of dislocations |
| title_full | Modern differential geometric techniques in the theory of continuous distributions of dislocations Frederick Bloom |
| title_fullStr | Modern differential geometric techniques in the theory of continuous distributions of dislocations Frederick Bloom |
| title_full_unstemmed | Modern differential geometric techniques in the theory of continuous distributions of dislocations Frederick Bloom |
| title_short | Modern differential geometric techniques in the theory of continuous distributions of dislocations |
| title_sort | modern differential geometric techniques in the theory of continuous distributions of dislocations |
| topic | Dislocations dans les cristaux G-structures Géométrie différentielle Dislocations in crystals Geometry, Differential Elastizität (DE-588)4014159-7 gnd Plastizität (DE-588)4046283-3 gnd Versetzung Kristallographie (DE-588)4187993-4 gnd Differentialgeometrie (DE-588)4012248-7 gnd Differenzierbare Mannigfaltigkeit (DE-588)4012269-4 gnd Verteilung (DE-588)4432264-1 gnd |
| topic_facet | Dislocations dans les cristaux G-structures Géométrie différentielle Dislocations in crystals Geometry, Differential Elastizität Plastizität Versetzung Kristallographie Differentialgeometrie Differenzierbare Mannigfaltigkeit Verteilung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001485473&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
| work_keys_str_mv | AT bloomfrederick moderndifferentialgeometrictechniquesinthetheoryofcontinuousdistributionsofdislocations |