Elasticity: theory, applications, and numerics
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Amsterdam [u.a.]
Elsevier/AP
2009
|
| Edition: | 2. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references and index |
| Physical Description: | XV, 536 S. Ill., graph. Darst. |
| ISBN: | 9780123744463 |
Staff View
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| 250 | |a 2. ed. | ||
| 264 | 1 | |a Amsterdam [u.a.] |b Elsevier/AP |c 2009 | |
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Record in the Search Index
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|---|---|
| adam_text | ELASTICITY THEORY, APPLICATIONS, AND NUMERICS SECOND EDITION MARTIN H.
SADD PROFESSOR, UNIVERSITY OF RHODE ISLAND DEPARTMENT OF MECHANICAL
ENGINEERING AND APPLIED MECHANICS KINGSTON, RHODE LSLAND ELSEVIER
AMSTERDAM * BOSTON * HEIDELBERG * LONDON NEW YORK * OXFORD * PARIS. SAN
DREGO SAN FRANCISCO * SINGAPORE * SYDNEY * TOKYO ACADEMIC PRESS IS AN
IMPRINT OF ELSEVIER CONTENTS PREFACE AHOUT THE AUTHOR IX XV PART I
FOUNDATIONS AND ELEMENTARY APPLICATIONS 1 1 MATHEMATICAL PRELIMINARIES 3
1.1 SCALAR, VECTOR, MATRIX, AND TENSOR DEFINITIONS 3 1.2 INDEX NOTATION
4 1.3 KRONEEKER DELTA AND ALTERNATING SYMBOL 7 1.4 COORDINATE
TRANSFORMATIONS 8 1.5 CARTESIAN TENSORS 10 1.6 PRINEIPAL VALUES AND
DIREETIONS FOR SYMMETRIE SEEOND-ORDER TENSORS 12 1.7 VEETOR, MATRIX, AND
TENSOR ALGEBRA 16 1.8 CALEULUS OF CARTESIAN TENSORS 17 1.9 ORTHOGONAL
CURVILINEAR COORDINATES 21 2 DEFORMATION: DISPLACEMENTS AND STRAINS 2.1
GENERAL DEFORMATIONS 2.2 GEOMETRIE CONSTRUETION OF SMALL DEFORMATION
THEORY 2.3 STRAIN TRANSFORMATION 2.4 PRINEIPAL STRAINS 2.5 SPHERIEAL AND
DEVIATORIE STRAINS 2.6 STRAIN COMPATIBILITY 2.7 CURVILINEAR CYLINDRIEAL
AND SPHERICAL COORDINATES 3 STRESS AND EQUILIBRIUM 3.1 BODY AND SURFAEE
FOREES 3.2 TRAETION VEETOR AND STRESS TENSOR 3.3 STRESS TRANSFORMATION
3.4 PRINEIPAL STRESSES 3.5 SPHERIEAL, DEVIATORIC. OETAHEDRAL, AND VON
MISES STRESSES 3.6 EQUILIBRIUM EQUATIONS 3.7 RELATIONS IN CURVILINEAR
CYLINDRIEAL AND SPHERIEAL COORDINATES 4 MATERIAL BEHAVIOR-LINEAR ELASTIC
SOLIDS 4.1 MATERIAL CHARAETERIZATION 31 31 34 38 40 41 41 46 55 55 57 60
61 65 66 68 77 77 V 4.2 LINEAR ELASTIC MATERIALS-HOOKE S LAW 4.3
PHYSICAL MEANING OF ELASTIC MODULI 4.4 THERMOELASTIC CONSTITUTIVE
RELATIONS 5 FORMULATION AND SOLUTION STRATEGIES 5.1 REVIEW OF FIELD
EQUATIONS 5.2 BOUNDARY CONDITIONS AND FUNDAMENTAL PROBLEM
CLASSIFICATIONS 5.3 STRESS FORMULATION 5.4 DISPLACEMENT FORMULATION 5.5
PRINCIPLE OF SUPERPOSITION 5.6 SAINT-VENANT S PRINCIPLE 5.7 GENERAL
SOLUTION STRATEGIES 6 STRAIN ENERGY AND RELATED PRINCIPLES 6.1 STRAIN
ENERGY 6.2 UNIQUENESS OF THE ELASTICITY BOUNDARY-VALUE PROBLEM 6.3
BOUNDS ON THE ELASTIC CONSTANTS 6.4 RELATED INTEGRAL THEOREMS 6.5
PRINCIPLE OF VIRTUAL WORK 6.6 PRINCIPLES OF MINIMUM POTENTIAL AND
COMPLEMENTARY ENERGY 6.7 RAYLEIGH-RITZ METHOD 7 TWO-DIMENSIONAL
FORMULATION 7.1 PLANE STRAIN 7.2 PLANE STRESS 7.3 GENERALIZED PLANE
STRESS 7.4 ANTIPLANE STRAIN 7.5 AIRY STRESS FUNCTION 7.6 POLAR
COORDINATE FORMULATION 8 TWO-DIMENSIONAL PROBLEM SOLUTION 8.1 CARTESIAN
COORDINATE SOLUTIONS USING POLYNOMIALS 8.2 CARTESIAN COORDINATE
SOLUTIONS USING FOURIER METHODS 8.3 GENERAL SOLUTIONS IN POLAR
COORDINATES 8.4 EXAMPLE POLAR COORDINATE SOLUTIONS 9 EXTENSION, TORSION,
AND FLEXURE OF ELASTIC CYLINDERS 9.1 GENERAL FORMULATION 9.2 EXTENSION
FORMULATION 9.3 TORSION FORMULATION 9.4 TORSION SOLUTIONS DERIVED FROM
BOUNDARY EQUATION 9.5 TORSION SOLUTIONS USING FOURIER METHODS 9.6
TORSION OF CYLINDERS WITH HOLLOW SECTIONS 9.7 TORSION OF CIRCULAR SHAFTS
OF VARIABLE DIAMETER 9.8 FLEXURE FORMULATION 9.9 FLEXURE PROBLEMS
WITHOUT TWIST PART 11 ADVANCED APPLICATIONS 10 COMPLEX VARIABLE METHODS
10.1 REVIEW OF COMPLEX VARIABLE THEORY 10.2 COMPLEX FORMULATION OF THE
PLANE ELASTICITY PROBLEM 10.3 RESULTANT BOUNDARY CONDITIONS 10.4 GENERAL
STRUCTURE OF THE COMPLEX POTENTIALS VI CONTENTS 79 82 86 91 91 92 97 98
100 101 102 113 113 118 119 120 122 124 128 135 135 138 141 143 144 145
151 151 161 169 172 215 215 216 217 227 233 237 241 243 247 257 259 259
266 270 27 10.5 CIRCULAR DOMAIN EXAMPLES 10.6 PLANE AND HALF-PLANE
PROBLEMS 10.7 APPLICATIONS USING THE METHOD OF CONFORMAL MAPPING 10.8
APPLICATIONS TO FRACTURE MECHANICS 10.9 WESTERGAARD METHOD FOR CRACK
ANALYSIS 11 ANISOTROPIE ELASTICITY 11.1 BASIC CONCEPTS 11.2 MATERIAL
SYMMETRY IU RESTRIETIONS ON ELASTIC MODULI 11.4 TORSION OF ASOLID
POSSESSING A PLANE OF MATERIAL SYMMETRY 11.5 PLANE DEFORMATION PROBLEMS
11.6 APPLICATIONS TO FRACTURE MECHANICS 11.7 CURVILINEAR ANISOTROPIE
PROBLEMS 12 THERMOELASTICITY 12.1 HEAT CONDUCTION AND THE ENERGY
EQUATION 12.2 GENERAL UNCOUPLED FORMULATION 12.3 TWO-DIMENSIONAL
FORMULATION 12.4 DISPLACEMENT POTENTIAL SOLUTION 12.5 STRESS FUNCTION
FORMULATION 12.6 POLAR COORDINATE FORMULATION 12.7 RADIALLY SYMMETRIE
PROBLEMS 12.8 COMPLEX VARIABLE METHODS FOR PLANE PROBLEMS 13
DISPLACEMENT POTENTIALS AND STRESS FUNCTIONS 13.1 HEIMHOLTZ DISPLACEMENT
VECTOR REPRESENTATION 13.2 LAME S STRAIN POTENTIAL 13.3 GALERKIN VECTOR
REPRESENTATION 13.4 PAPKOVICH-NEUBER REPRESENTATION 13.5 SPHERICAL
COORDINATE FORMULATIONS 13.6 STRESS FUNCTIONS 14 NONHOMOGENEOUS
ELASTICITY 14.1 BASIC CONCEPTS 14.2 PLANE PROBLEM OF HOLLOW CYLINDRICAL
DOMAIN UNDER UNIFORM PRESSURE 14.3 ROTATING DISK PROBLEM 14.4 POINT
FORCE ON THE FREE SURFACE OF A HALF-SPACE 14.5 ANTIPLANE STRAIN PROBLEMS
14.6 TORSION PROBLEM 15 MIEROMECHANICS APPLICATIONS 15.1 DISLOCATION
MODELING 15.2 SINGULAR STRESS STATES 15.3 ELASTICITY THEORY WITH
DISTRIBUTED CRACKS 15.4 MICROPOLAR/COUPLE-STRESS ELASTICITY 15.5
ELASTICITY THEORY WITH VOIDS 15.6 DOUBLET MECHANICS 16 NUMERIEAL FINITE
AND BOUNDARY ELEMENT METHODS 16.1 BASICS OFTHE FINITE ELEMENT METHOD
16.2 APPROXIMATING FUNCTIONS FOR TWO-DIMENSIONAL LINEAR TRIANGULAR
ELEMENTS 16.3 VIRTUAL WORK FORMULATION FOR PLANE ELASTICITY 273 278 283
288 291 297 297 299 305 306 312 325 328 337 337 339 340 343 344 347 348
352 365 365 366 367 372 376 381 391 392 396 402 407 415 418 431 432 436
445 448 457 463 473 474 476 478 CONTENTS VII 16.4 FEM PROBLEM
APPLICATION 16.5 FEM CODE APPLICATIONS 16.6 BOUNDARY ELEMENT FORMULATION
APPENDIX A BASIC FIELD EQUATIONS IN CARTESIAN, CYLINDRICAL, AND
SPHERICAL COORDINATES APPENDIX B TRANSFORMATION OF FIELD VARIABLES
BETWEEN CARTESIAN, CYLINDRICAL, AND SPHERICAL COMPONENTS APPENDIX C
MATLAB PRIMER APPENDIX D REVIEW OF MECHANICS OF MATERIALS INDEX VIII
CONTENTS 482 484 489 497 502 505 518 533
|
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| isbn | 9780123744463 |
| language | English |
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| physical | XV, 536 S. Ill., graph. Darst. |
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| spelling | Sadd, Martin H. Verfasser aut Elasticity theory, applications, and numerics Martin H. Sadd 2. ed. Amsterdam [u.a.] Elsevier/AP 2009 XV, 536 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references and index Elastizität - Werkstoff Élasticité Elasticity Elastizitätstheorie (DE-588)4123124-7 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Elastizitätstheorie (DE-588)4123124-7 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018703304&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Sadd, Martin H. Elasticity theory, applications, and numerics Elastizität - Werkstoff Élasticité Elasticity Elastizitätstheorie (DE-588)4123124-7 gnd |
| subject_GND | (DE-588)4123124-7 (DE-588)4123623-3 |
| title | Elasticity theory, applications, and numerics |
| title_auth | Elasticity theory, applications, and numerics |
| title_exact_search | Elasticity theory, applications, and numerics |
| title_full | Elasticity theory, applications, and numerics Martin H. Sadd |
| title_fullStr | Elasticity theory, applications, and numerics Martin H. Sadd |
| title_full_unstemmed | Elasticity theory, applications, and numerics Martin H. Sadd |
| title_short | Elasticity |
| title_sort | elasticity theory applications and numerics |
| title_sub | theory, applications, and numerics |
| topic | Elastizität - Werkstoff Élasticité Elasticity Elastizitätstheorie (DE-588)4123124-7 gnd |
| topic_facet | Elastizität - Werkstoff Élasticité Elasticity Elastizitätstheorie Lehrbuch |
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