Theory of elasticity for scientists and engineers:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Boston [u.a.]
Birkhäuser [u.a.]
2000
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XII, 374 S. Ill., graph. Darst. |
| ISBN: | 9781461270973 081764072X 376434072X |
Internformat
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| 245 | 1 | 0 | |a Theory of elasticity for scientists and engineers |c Teodor M. Atanackovic ; Ardéshir Guran |
| 264 | 1 | |a Boston [u.a.] |b Birkhäuser [u.a.] |c 2000 | |
| 300 | |a XII, 374 S. |b Ill., graph. Darst. | ||
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Datensatz im Suchindex
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| adam_text | TEODOR M. ATANACKOVIC ARDESHIR GURAN THEORY OF ELASTICITY FOR SCIENTISTS
AND ENGINEERS WITH 110 ILLUSTRATIONS BIRKHAUSER BOSTON * BASEL * BERLIN
CONTENTS PREFACE IX ANALYSIS OF STRESS 1 1.1 INTRODUCTION 1 1.2 STRESS
VECTOR. CAUCHY S THEOREM 3 1.3 EQUILIBRIUM EQUATIONS IN TERMS OF STRESS
COMPONENTS . . . . 10 1.4 THE BASIC LEMMA OF STRESS ANALYSIS 14 1.5
EQUILIBRIUM EQUATIONS IN COORDINATE SYSTEMS 14 1.6 TRANSFORMATION OF
STRESS MATRIX. STRESS TENSOR 18 1.7 EXTREME PROPERTIES OF PRINCIPAL
STRESSES 26 1.8 INVARIANTS OF THE STRESS TENSOR 28 1.9 EXTREME VALUES OF
SHEAR STRESSES 29 1.10 SPHERICAL AND DEVIATORIC PART OF STRESS TENSOR 32
1.11 MOHR S STRESS CIRCLES 34 1.12 PLANE STATE OF STRESS 36 1.13 NORMAL
AND TANGENTIAL STRESSES IN THE PLANE STATE OF STRESS 38 1.14 MOHR S
CIRCLE FOR PLANE STATE OF STRESS 39 1.15 STRESSES AT THE OUTER SURFACES
OF A BODY 43 1.16 LINEAR STATE OF STRESS 44 PROBLEMS 44 ANALYSIS OF
STRAIN 47 2.1 INTRODUCTION 47 2.2 MEASURES OF DEFORMATIONS. STRAIN
TENSOR 48 2.3 EXTENSION AND SHEAR ANGLE FOR ARBITRARY DIRECTIONS 57 2.4
INFINITESIMAL ROTATION 60 2.5 PRINCIPAL DIRECTIONS OF STRAIN TENSOR 62
2.6 STRAIN TENSOR IN COORDINATE SYSTEMS 63 2.7 COMPATIBILITY CONDITIONS
FOR LINEAR AND NONLINEAR STRAIN TENSOR 67 2.8 PLANE STATE OF STRAIN 71
2.9 LINEAR STRAIN TENSOR. CUBICAL DILATATION 73 2.10 MEASUREMENT OF
STRAIN. STRAIN GAUGES 76 PROBLEMS 79 HOOKE S LAW 85 3.1 INTRODUCTION 85
VI CONTENTS 3.2 TRANSFORMATION OF THE ELASTICITY TENSOR BY ROTATION OF
COORDINATE SYSTEM 88 3.3 ANISOTROPIC, ORTHOTROPIC, AND ISOTROPIC ELASTIC
BODY 89 3.4 LAME CONSTANTS. MODULUS OF ELASTICITY. POISSON RATIO . . . .
96 3.5 INFLUENCE OF TEMPERATURE ON THE STRESS-STRAIN RELATION . . . . 98
3.6 HOOKE S LAW IN CYLINDRICAL AND SPHERICAL COORDINATE SYSTEMS 102 3.7
BELTRAMI-MICHELL COMPATIBILITY CONDITIONS 103 3.8 FINITE DEFORMATIONS IN
LINEAR STATE OF STRESS 106 PROBLEMS 109 4 BOUNDARY VALUE PROBLEMS OF
ELASTICITY THEORY 113 4.1 INTRODUCTION 113 4.2 CLASSIFICATION OF
PROBLEMS 116 4.3 LAME EQUATIONS COORDINATE SYSTEMS 119 4.4 UNIQUENESS OF
SOLUTION 124 4.5 ASSUMPTIONS ABOUT SOLUTION OF EQUILIBRIUM EQUATIONS . .
. . 130 4.6 METHODS OF SOLUTION 135 4.7 SAINT-VENANT PRINCIPLE 138
PROBLEMS 140 5 SOLUTIONS FOR SOME PROBLEM S OF ELASTICITY THEORY 143 5.1
INTRODUCTION 143 5.2 HEAVY ROD 145 5.3 ROTATING ROD 149 5.4 SPHERICAL
SHELL UNDER INNER AND OUTER PRESSURE 150 5.5 TORSION OF A PRISMATIC ROD
WITH AN ARBITRARY CROSS-SECTION 152 5.6 TORSION OF A ROD WITH VARIABLE
CIRCULAR CROSS-SECTION 174 5.7 BENDING BY COUPLES (PURE BENDING) 177 5.8
BENDING OF A ROD BY A TERMINAL LOAD 181 5.9 ELEMENTARY SINGULAR
SOLUTIONS 190 5.10 THE BOUSSINESQ PROBLEM 194 5.11 TANGENTIAL FORCE ON
THE ELASTIC HALF SPACE 197 5.12 EQUILIBRIUM OF A CIRCULAR CONE 200 5.13
THERMAL STRESSES IN A SPHERE AND IN A CYLINDER 204 5.14 PLANE HARMONIC
WAVES IN AN ELASTIC AND THERMOELASTIC BODY 207 PROBLEMS 215 6 PLANE
STATE OF STRAIN AND PLANE STATE OF STRESS 223 6.1 INTRODUCTION 223 6.2
STRESS FUNCTION METHOD FOR THE SOLUTION OF PLANE PROBLEMS 228 6.3 SOME
SOLUTIONS OF THE PLANE PROBLEMS 233 CONTENTS VII 6.4 COMPLEX VARIABLE
METHOD FOR PLANE PROBLEMS 249 PROBLEMS 263 7 ENERGY METHOD IN ELASTICITY
THEORY 267 7.1 INTRODUCTION 267 7.2 WORK AND INNER ENERGY 268 7.3
BETTI S THEOREM 273 7.4 MAXWELL S THEOREM 275 7.5 PRINCIPLE OF VIRTUAL
WORK 277 7.6 PRINCIPLE OF VIRTUAL DISPLACEMENTS 278 7.7 PRINCIPLE OF
VIRTUAL FORCES 280 7.8 MINIMUM OF POTENTIAL AND COMPLEMENTARY ENERGY
THEOREMS 282 7.9 CASTIGLIANO S THEOREMS 286 7.10 HU-WASHIZY AND REISSNER
VARIATIONAL PRINCIPLES 287 PROBLEMS 293 8 ELEMENTARY THEORY OF PLATES
297 8.1 INTRODUCTION 297 8.2 BASIC EQUATIONS OF VON KARMAN S THEORY OF
PLATES 297 8.3 BOUNDARY CONDITIONS 304 8.4 SMALL DEFORMATIONS: AN
EXAMPLE 306 8.5 THE INFLUENCE OF SHEAR STRESSES: REISNER-MINDLIN THEORY
. . . 308 PROBLEMS 314 9 PRESSURE BETWEEN TWO BODIES IN CONTACT 317 9.1
INTRODUCTION 317 9.2 HERTZ S PROBLEM AND ITS SOLUTION 317 9.3 EXAMPLES
OF CONTACT STRESSES 323 9.4 THEORY OF ELASTIC IMPACT 326 PROBLEMS 332 10
ELASTIC STABILITY 337 10.1 INTRODUCTION 337 10.2 DEFINITIONS OF
STABILITY 338 10.3 BASIC THEOREMS OF THE DYNAMIC METHOD 345 10.4
EXAMPLES 348 PROBLEMS 363 REFERENCES 365 INDEX 371
|
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| author | Atanackovic, Teodor M. 1945- Guran, Ardéshir 1959- |
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| discipline | Physik |
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| indexdate | 2024-07-09T18:31:41Z |
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| isbn | 9781461270973 081764072X 376434072X |
| language | English |
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| physical | XII, 374 S. Ill., graph. Darst. |
| publishDate | 2000 |
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| publisher | Birkhäuser [u.a.] |
| record_format | marc |
| spelling | Atanackovic, Teodor M. 1945- Verfasser (DE-588)122214765 aut Theory of elasticity for scientists and engineers Teodor M. Atanackovic ; Ardéshir Guran Boston [u.a.] Birkhäuser [u.a.] 2000 XII, 374 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Elastizitätstheorie Elastizitätstheorie (DE-588)4123124-7 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Elastizitätstheorie (DE-588)4123124-7 s DE-604 Guran, Ardéshir 1959- Verfasser (DE-588)122214773 aut HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008612404&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Atanackovic, Teodor M. 1945- Guran, Ardéshir 1959- Theory of elasticity for scientists and engineers Elastizitätstheorie Elastizitätstheorie (DE-588)4123124-7 gnd |
| subject_GND | (DE-588)4123124-7 (DE-588)4123623-3 |
| title | Theory of elasticity for scientists and engineers |
| title_auth | Theory of elasticity for scientists and engineers |
| title_exact_search | Theory of elasticity for scientists and engineers |
| title_full | Theory of elasticity for scientists and engineers Teodor M. Atanackovic ; Ardéshir Guran |
| title_fullStr | Theory of elasticity for scientists and engineers Teodor M. Atanackovic ; Ardéshir Guran |
| title_full_unstemmed | Theory of elasticity for scientists and engineers Teodor M. Atanackovic ; Ardéshir Guran |
| title_short | Theory of elasticity for scientists and engineers |
| title_sort | theory of elasticity for scientists and engineers |
| topic | Elastizitätstheorie Elastizitätstheorie (DE-588)4123124-7 gnd |
| topic_facet | Elastizitätstheorie Lehrbuch |
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