Micropolar theory of elasticity:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2004
|
| Series: | Lecture notes in applied and computational mechanics
15 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 335 - 345 |
| Physical Description: | XV, 365 S. graph. Darst. : 24 cm |
| ISBN: | 3540418350 |
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| 245 | 1 | 0 | |a Micropolar theory of elasticity |c Janusz Dyszlewicz |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2004 | |
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Record in the Search Index
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| adam_text | MICROPOLAR THEORY OF ELASTICITY JANUSZ DYSZLEWICZ SPRINGER CONTENTS
INTRODUCTION 1 1. THREE-DIMENSIONAL PROBLEMS 21 1.1
DISPLACEMENT-ROTATION EQUATIONS OF ELASTODYNAMICS AND COU- PLED
THERMOELASTICITY 21 1.1.1 VECTOR EQUATIONS. SUPERPOSITION METHOD 21
1.1.2 FIELDS OF BODY LOADINGS. FUNDAMENTAL SOLUTIONS AND LIMITING CASES
24 1.1.3 DISTORTION FIELDS. FUNDAMENTAL SOLUTIONS 28 1.1.4 COUPLED
MICROPOLAR THERMOELASTICITY. FUNDAMENTAL SO- LUTIONS 29 1.1.5
STRESS-TEMPERATURE EQUATIONS OF MOTION OF IGNACZAK TYPE. FUNDAMENTAL
SOLUTIONS 37 1.1.6 RADIATION CONDITIONS OF SOMMERFELD TYPE 45 1.1.7
GENERALIZED GALERKIN VECTOR. REPRESENTATION OF IACOV- ACHE TYPE.
MICROPOLAR THEORY AND COUPLE-STRESS THEORY. 49 1.1.8 GENERALIZED
REPRESENTATION OF GREEN-LAME. THE METH- OD OF NOWACKI S POTENTIALS 53
1.2 DISPLACEMENT-ROTATION AND STRESS EQUATIONS OF ELASTOSTATICS AND
THERMOELASTOSTATICS 54 1.2.1 VECTOR EQUATIONS AND SUPERPOSITION METHOD
54 1.2.2 FIELDS OF BODY LOADINGS. FUNDAMENTAL SOLUTIONS 58 1.2.3
DISTORTION FIELDS. FUNDAMENTAL SOLUTIONS AND LIMITING CASES 60 1.2.4
PROBLEM OF ELASTIC HALF-SPACE 64 1.2.5 GALERKIN VECTOR. MICROPOLAR
THEORY AND COUPLE-STRESS THEORY 67 1.2.6 METHOD OF POTENTIALS.
MICROPOLAR THEORY AND LIMITING THEORIES. SUPERPOSITION METHOD 70 1.2.7
METHOD OF POTENTIALS. FUNDAMENTAL SOLUTIONS. HALF- SPACE PROBLEM 73
1.2.8 MICROPOLAR HALF-SPACE. PROBLEM OF SINGULARITIES OF PHYS- ICAL
FIELDS. THREE-DIMENSIONAL PROBLEM 76 1.2.9 STRESS EQUATIONS. FUNDAMENTAL
SOLUTIONS 79 XII CONTENTS 1.2.10 GENERALIZED REPRESENTATION OF
PAPKOVICH-NEUBER. MI- CROPOLAR THEORY AND COUPLE-STRESS THEORY 85 1.2.11
APPLICATIONS OF THE GENERALIZED PAPKOVICH-NEUBER REP- RESENTATION 90
1.2.12 GENERALIZED REPRESENTATION OF PAPKOVICH-NEUBER. THE CASE OF
NONHOMOGENOUS EQUATIONS OF MICROPOLAR ELAS- TOSTATICS (E-N MODEL) 105 2.
AXIALLY-SYMMETRIC PROBLEMS 109 2.1 THE FIRST AXIALLY-SYMMETRIC PROBLEM.
ELASTODYNAMICS 109 2.1.1 EQUATIONS IN DISPLACEMENTS AND ROTATIONS. BODY
IOADINGSL09 2.1.2 EQUATIONS IN DISPLACEMENTS AND ROTATIONS. SUPERPOSI-
TION METHOD ILL 2.1.3 EQUATIONS IN DISPLACEMENTS AND ROTATIONS WITH A
DIS- TORTION FIELD 117 2.1.4 STRESS FUNCTIONS 119 2.1.5 METHOD OF
POTENTIALS 121 2.1.6 STRESS EQUATIONS OF MOTION OF IGNACZAK TYPE 123 2.2
THE FIRST AXIALLY-SYMMETRIC PROBLEM. ELASTOSTATICS AND THER-
MOELASTOSTATICS 131 2.2.1 FIELDS OF BODY LOADINGS. EQUATIONS FOR
DISPLACEMENTS AND ROTATIONS. DIRECT METHOD AND SUPERPOSITION METHODL31
2.2.2 HALF-SPACE. THE PROBLEM OF BOUSSINESQ-MINDLIN TYPE. LIMITING CASES
134 2.2.3 ELASTIC HALF-SPACE. PROBLEM OF SINGULARITIES OF PHYSICAL
FIELDS IN ELASTOSTATICS AND THERMOELASTOSTATICS 144 2.2.4
DISPLACEMENT-ROTATION EQUATIONS WITH A DISTORTION FIELD 147 2.2.5 THE
GENERALIZED LOVE FUNCTION 149 2.2.6 HALF-SPACE. APPLICATION OF THE
GENERALIZED LOVE FUNCTIONSL51 2.2.7 METHOD OF POTENTIALS 153 2.2.8
HALF-SPACE. APPLICATION OF THE METHOD OF POTENTIALS . . . 156 2.2.9
HALF-SPACE (E-N) WITH AN INSIDE HEAT SOURCE. THERMOE- LASTOSTATICS 156
2.3 THE SECOND AXIALLY-SYMMETRIC PROBLEM. ELASTODYNAMICS 175 2.3.1
EQUATIONS IN DISPLACEMENTS AND ROTATIONS. BODY IOADINGSL75 2.3.2 THE
GENERALIZED LAMB PROBLEM 177 2.3.3 STRESS EQUATIONS OF MOTION PROBLEM
(SEMP) 180 2.3.4 FUNDAMENTAL SOLUTIONS FOR STRESSES 184 2.3.5 EQUATIONS
IN DISPLACEMENTS AND ROTATIONS. SUPERPOSI- TION METHOD 187 2.3.6
DISTORTION FIELD. EQUATIONS IN DISPLACEMENTS AND ROTA- TIONS.
FUNDAMENTAL SOLUTIONS AND LIMITING RESULTS 190 2.3.7 FUNCTIONS OF
DISPLACEMENTS-ROTATIONS AND THE METHOD OF POTENTIALS 192 CONTENTS XIII
2.3.8 POTENTIALS OF GALERKIN TYPE 196 2.4 THE SECOND AXIALLY-SYMMETRIC
PROBLEM. ELASTOSTATICS 197 2.4.1 BODY LOADINGS. EQUATIONS IN
DISPLACEMENTS AND ROTA- TIONS. DIRECT METHOD AND SUPERPOSITION METHOD
197 2.4.2 EQUATIONS IN DISPLACEMENTS AND ROTATIONS WITH A DIS- TORTION
FIELD 201 2.4.3 STRESS EQUATIONS OF BELTRAMI-MICHELL TYPE AND STRESS
FUNCTIONS. HALF-SPACE PROBLEM 202 2.4.4 FUNCTIONS OF
DISPLACEMENTS-ROTATIONS 205 2.4.5 METHOD OF POTENTIALS 208 2.4.6
FUNCTIONS OF LOVE TYPE 211 2.4.7 PROBLEM OF SINGULARITIES OF PHYSICAL
FIELDS IN THE HALF- SPACE TWISTED ON THE BOUNDARY 212 3. TWO-DIMENSIONAL
PROBLEMS 217 3.1 THE FIRST PROBLEM OF PLANE STRAIN STATE. ELASTODYNAMICS
217 3.1.1 EQUATIONS IN DISPLACEMENTS AND ROTATIONS WITH A FIELD OF BODY
LOADINGS 217 3.1.2 EQUATIONS IN DISPLACEMENTS AND ROTATIONS WITH A DIS-
TORTION FIELD. FUNDAMENTAL SOLUTIONS AND LIMITING CASES 221 3.1.3 THE
METHOD OF POTENTIALS 223 3.1.4 WAVE EQUATIONS IN POLAR COORDINATES 225
3.1.5 SEMP 226 3.2 THE FIRST PROBLEM OF PLANE STRAIN STATE.
ELASTOSTATICS 228 3.2.1 EQUATIONS IN DISPLACEMENTS-ROTATIONS WITH A
FIELD OF BODY LOADINGS 228 3.2.2 DISTORTION FIELD. FUNDAMENTAL SOLUTIONS
FOR DISPLACE- MENTS AND ROTATIONS 232 3.2.3 STRESS EQUATIONS OF
THERMOELASTOSTATICS AND DISPLACE- MENT POTENTIALS IN POLAR COORDINATES
235 3.2.4 CONCENTRATION OF STRESSES. THE PROBLEM OF CYLINDRICAL
INCLUSION. THE CASE OF A CIRCULAR HOLE 238 3.2.5 STRESS CONCENTRATION
PROBLEM. PERFECTLY RIGID CYLINDRI- CAL INCLUSION 241 3.2.6 METHOD OF
POTENTIALS 244 3.2.7 HALF-SPACE PROBLEM. APPLICATION OF THE METHOD OF
POTENTIALS 247 3.3 THE SECOND PROBLEM OF PLANE STRAIN STATE.
ELASTODYNAMICS ... 249 3.3.1 BODY LOADINGS. EQUATIONS IN DISPLACEMENTS
AND ROTATIONS249 |-L 3.3.2 EQUATIONS IN DISPLACEMENTS AND ROTATIONS WITH
A DIS- TORTION FIELD. FUNDAMENTAL SOLUTIONS AND LIMITING CASES 253 3.3.3
FUNCTIONS OF DISPLACEMENTS AND ROTATIONS 257 3.3.4 METHOD OF POTENTIALS
258 3.3.5 ROTATION POTENTIALS IN POLAR COORDINATES 259 XIV CONTENTS
3.3.6 SEMP 260 3.4 THE SECOND PROBLEM OF PLANE STRAIN STATE.
ELASTOSTATICS 263 3.4.1 EQUATIONS IN DISPLACEMENTS AND ROTATIONS WITH
BODY LOADINGS. FUNDAMENTAL SOLUTIONS 263 3.4.2 EQUATIONS IN
DISPLACEMENTS AND ROTATIONS WITH A DIS- TORTION FIELD. FUNDAMENTAL
SOLUTIONS 266 3.4.3 METHOD OF POTENTIALS 268 3.4.4 POTENTIALS IN POLAR
COORDINATES 271 3.4.5 HALF-SPACE PROBLEM 272 3.4.6 THE PROBLEM OF
SINGULARITIES OF PHYSICAL FIELDS IN THE HALF-SPACE LOADED ON THE
BOUNDARY 274 4. HEMITROPIC MEDIUM 281 4.1 VECTOR EQUATIONS.
ELASTODYNAMICS 281 4.1.1 EQUATIONS IN DISPLACEMENTS AND ROTATIONS WITH
BODY VECTORS. THE METHOD OF DIRECT INTEGRATION 281 4.1.2 THE VECTOR OF
GALERKIN-CAUCHY TYPE 283 4.2 THREE-DIMENSIONAL PROBLEMS. ELASTOSTATICS
284 4.2.1 VECTOR EQUATIONS IN DISPLACEMENTS AND ROTATIONS. SEP- ARATED
EQUATIONS 284 4.2.2 GENERALIZED VECTORS OF GALERKIN TYPE 285 4.2.3 THE
PROBLEM OF ISOTROPIC HEMITROPIC HALF-SPACE 286 4.2.4 POTENTIALS OF
NOWACKI IN ELASTOSTATICS AND THERMO- ELASTOSTATICS 290 4.2.5 METHOD OF
POTENTIALS. CERTAIN SOLUTIONS IN R 3 291 4.2.6 HYPOTHETICAL HEMITROPIC
MEDIUM 294 4.2.7 BOUSSINESQ S PROBLEM. METHOD OF POTENTIALS. SINGULAR-
ITIES OF PHYSICAL FIELDS IN THE HALF-SPACE 298 4.3 ONE-DIMENSIONAL
PROBLEMS OF ELASTOSTATICS AND THERMOELASTO- STATICS 302 4.3.1 THE
HALF-SPACE PROBLEM 302 4.3.2 THE PROBLEM OF A LAYER WITH TEMPERATURE
FIELD 306 4.4 REMARKS AND CONCLUSIONS CONCERNING VECTOR EQUATIONS 308
4.4.1 ON THE DERIVATION OF VECTOR EQUATIONS 308 4.4.2 HEMITROPIC MEDIUM.
ELASTODYNAMICS. ANALYSIS OF VEC- TOR EQUATIONS 311 4.4.3
DISPLACEMENT-ROTATION EQUATIONS DESCRIBING PLANE AND AXIALLY-SYMMETRIC
PROBLEMS OF MICROPOLAR THEORY 315 4.4.4 SUPERPOSITION METHOD. ANALYSIS
OF EQUATIONS WITH THE VECTOR C 321 APPENDIX 333 REFERENCES 335
|
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| id | DE-604.BV019313391 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T19:57:25Z |
| institution | BVB |
| isbn | 3540418350 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-012781081 |
| oclc_num | 248749156 |
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| owner | DE-703 DE-91G DE-BY-TUM |
| owner_facet | DE-703 DE-91G DE-BY-TUM |
| physical | XV, 365 S. graph. Darst. : 24 cm |
| publishDate | 2004 |
| publishDateSearch | 2004 |
| publishDateSort | 2004 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in applied and computational mechanics |
| series2 | Lecture notes in applied and computational mechanics Engineering online library |
| spelling | Dyszlewicz, Janusz Verfasser aut Micropolar theory of elasticity Janusz Dyszlewicz Berlin [u.a.] Springer 2004 XV, 365 S. graph. Darst. : 24 cm txt rdacontent n rdamedia nc rdacarrier Lecture notes in applied and computational mechanics 15 Engineering online library Literaturverz. S. 335 - 345 Mikropolares Medium (DE-588)4584125-1 gnd rswk-swf Elastizitätstheorie (DE-588)4123124-7 gnd rswk-swf Elastizitätstheorie (DE-588)4123124-7 s Mikropolares Medium (DE-588)4584125-1 s DE-604 Lecture notes in applied and computational mechanics 15 (DE-604)BV017110729 15 HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012781081&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Dyszlewicz, Janusz Micropolar theory of elasticity Lecture notes in applied and computational mechanics Mikropolares Medium (DE-588)4584125-1 gnd Elastizitätstheorie (DE-588)4123124-7 gnd |
| subject_GND | (DE-588)4584125-1 (DE-588)4123124-7 |
| title | Micropolar theory of elasticity |
| title_auth | Micropolar theory of elasticity |
| title_exact_search | Micropolar theory of elasticity |
| title_full | Micropolar theory of elasticity Janusz Dyszlewicz |
| title_fullStr | Micropolar theory of elasticity Janusz Dyszlewicz |
| title_full_unstemmed | Micropolar theory of elasticity Janusz Dyszlewicz |
| title_short | Micropolar theory of elasticity |
| title_sort | micropolar theory of elasticity |
| topic | Mikropolares Medium (DE-588)4584125-1 gnd Elastizitätstheorie (DE-588)4123124-7 gnd |
| topic_facet | Mikropolares Medium Elastizitätstheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012781081&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV017110729 |
| work_keys_str_mv | AT dyszlewiczjanusz micropolartheoryofelasticity |