Verfügbarkeit: Mechanics of solid materials | Technische Universität München

Mechanics of solid materials:

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Bibliographische Detailangaben
Beteiligte Personen:	Lemaitre, Jean (VerfasserIn), Chaboche, Jean-Louis (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	Cambridge [u.a.] Cambridge Univ Press 2000
Ausgabe:	Repr.
Schlagwörter:	Strength of materials Thermoelastizität Festigkeitslehre Elastizität Kontinuumsmechanik Plastizität Deformation Viskoplastizität Viskoelastizität Festkörpermechanik Nichtgleichgewichtsthermodynamik
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009133863&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Umfang:	XXV, 556 S. Ill., graph. Darst.
ISBN:	0521328535 0521477581

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Datensatz im Suchindex

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adam_text	Titel: Mechanics of solid materials Autor: Lemaitre, Jean Jahr: 2000 CONTENTS Foreword to French edition xi Foreword to English edition xv Introduction xvii Notation xxi 1 Elements of the physical mechanisms of deformation and fracture 1 1.1 Metals and alloys 2 1.1.1 Structure 2 1.1.2 Physical mechanisms of deformation 9 1.1.3 Physical mechanisms of fracture 18 1.2 Other materials 24 1.2.1 Polymers 24 1.2.2 Granular material: concrete 29 1.2.3 Wood 33 Bibliography 35 2 Elements of continuum mechanics and thermodynamics 37 2.1 Statement of the principle of virtual power 38 2.1.1 Motion and virtual power 38 2.1.2 Frames of reference and material derivatives 39 2.1.3 Principle of virtual power 40 2.2 Method of virtual power 41 2.2.1 Rates of strain and stress 41 2.2.2 Equations of equilibrium 44 2.2.3 Strains and displacements 45 2.2.4 Tensorial representation: invariants 51 v vi Contents 2.3 Fundamental statements of thermodynamics 2.3.1 Conservation laws; first principle 2.3.2 Entropy; second principle 2.4 Method of local state 2.4.1 State variables 2.4.2 Thermodynamic potential, state laws 2.4.3 Dissipation, complementary laws 2.5 Elements of heat 2.5.1 Fourier s law 2.5.2 Heat equation Bibliography 3 Identification and rheological classification of real solids 69 3.1 The global phenomenological method 70 3.2 Elements of experimental techniques and identification process 72 3.2.1 Characteristic tests 72 3.2.2 Experimental techniques 77 3.2.3 Identification methods 88 3.3 Schematic representation of real behaviour 99 3.3.1 Analogical models 99 3.3.2 Rigid solid and perfect fluid 100 3.3.4 Viscous fluid 101 3.3.4 Elastic solids 101 3.3.5 Plastic solids 103 3.3.6 Viscoplastic solids 105 3.3.7 Characterization of work-hardening 108 3.3.8 Ageing 114 3.4 Schematic representation of fracture 114 3.4.1 Fracture by damage of a volume element 115 3.4.2 Fracture by crack propagation in a structure 117 3.5 Schematic representation of friction 119 3.5.1 Coulomb model 119 3.5.2 Boundary layer model 119 Bibliography 120 4 Linear elasticity, thermoelasticity and viscoelasticity 4.1 Elasticity 4.1.1 Domain of validity and use 4.1.2 Formulation 53 53 55 56 57 58 60 65 65 66 68 121 121 122 122 Contents vii 4.1.3 Identification 128 4.1.4 Table of elastic properties of common materials 131 4.1.5 Concepts of the finite element method 132 4.2 Thermoelasticity 137 4.2.1 Formulation 137 4.2.2 Identification 139 4.2.3 Thermoelastic properties of common materials 144 4.3 Viscoelasticity 144 4.3.1 Domain of validity and use 144 4.3.2 Thermodynamic formulation 145 4.3.3 Functional formulation 150 4.3.4 Viscoelastic properties of common materials 154 4.3.5 Elements of viscoelastic analysis of structures 156 Bibliography 160 5 Plasticity 161 5.1 Domain of validity and use 161 5.2 Phenomenological aspects 162 5.2.1 Uniaxial behaviour 163 5.2.2 Multiaxial plasticity criteria 176 5.3 Formulation of general constitutive laws 186 5.3.1 Partition hypothesis 186 5.3.2 Choice of thermodynamic variables 187 5.3.3 Loading surface and dissipation potential 189 5.4 Particular flow laws 195 5.4.1 Different types of criteria and flow laws 195 5.4.2 Isotropic hardening rules 198 5.4.3 Linear kinematic hardening rules 205 5.4.4 Flow rules under cyclic or arbitrary loadings 212 5.4.5 Classification of different models 240 5.5 Proportional loading 240 5.5.1 Definition 240 5.5.2 Integrated Hencky-Mises law. Equivalent stress and strain 241 5.5.3 Existence theorem for proportional loading 242 5.6 Elements of computational methods in plasticity 243 5.6.1 Structural analysis 244 5.6.2 Limit analysis 249 5.6.3 Approximate global method of uniform energy 251 Bibliography 252 viii Contents 6 Viscoplasticity 6.1 Domain of validity and use 6.2 Phenomenological aspects 6.2.1 Results derived from hardening tests 6.2.2 Results derived from creep tests 6.2.3 Results derived from relaxation tests 6.2.4 Viscosity-hardening law 6.2.5 Influence of temperature 6.2.6 Results derived from cyclic tests 6.2.7 Results derived from multiaxial tests 6.3 General formulation of the constitutive equations 6.3.1 Partition of strains 6.3.2 Choice of thermodynamic variables 6.3.3 Dissipation potential 6.4 Particular constitutive equations 6.4.1 Laws of perfect viscoplasticity 6.4.2 Viscoplasticity laws with isotropic hardening 6.4.3 Viscoplasticity law with kinematic hardening 308 6.4.4 Modelling of particular effects 328 6.5 Elements of the methods of viscoplastic structural analysis 340 6.5.1 General scheme of viscoplastic analysis 340 6.5.2 Methods of step by step linearization 343 Bibliography 345 7 Damage mechanics 346 7.1 Domain of validity and use 347 7.2 Phenomenological aspects 348 7.2.1 Damage variable 349 7.2.2 Effective stress 350 7.2.3 Measurement of damage 352 7.2.4 Elementary damage laws 363 7.2.5 Multiaxial damage criteria 381 7.3 Thermodynamic formulation 396 7.3.1 Multiaxial representation of damage 396 7.3.2 Theory of isotropic damage 399 7.3.3 A nonisotropic damage theory 403 7.4 Particular models 409 7.4.1 Ductile plastic damage 409 7.4.2 Creep damage 413 253 254 254 254 257 261 264 268 271 274 276 276 277 278 280 281 Contents ix 7.4.3 Fatigue damage 418 7.4.4 Interaction effects of fatigue and creep damage 427 7.5 Deformation and damage coupling 435 7.5.1 Elasticity coupled with damage 436 7.5.2 Plasticity coupled with damage 436 7.5.3 Viscoplasticity coupled with damage 440 7.5 Prediction of crack initiation in structures 442 7.6.1 Initial damage 442 7.6.2 Calculation of damage at critical points 443 Bibliography 449 8 Crack mechanics 451 8.1 Domain of validity and use 452 8.2 Elements of analysis of cracked media 453 8.2.1 Initial cracks 453 8.2.2 Elastic analysis 454 8.2.3 Elastoplastic analyses 468 8.3 Phenomenological aspects 474 8.3.1 Variables governing crack behaviour 474 8.3.2 Elementary experimental results 478 8.4 Thermodynamic formulation 487 8.4.1 Choice of variables. Thermodynamic potential 488 8.4.2 Elastic strain energy release rate 491 8.4.3 The crack growth threshold variable 491 8.4.4 Dissipation analysis 503 8.4.5 Bifurcation criteria for crack propagation in plane media 505 8.4.6 Three-dimensional cracked structures 508 8.5 Particular crack propagation models 511 8.5.1 Cracking by brittle fracture 512 8.5.2 Cracking by ductile fracture 513 8.5.3 Creep crack growth 515 8.5.4 Fatigue crack growth 516 8.6 Elements of the crack analysis of structures by the global approach 520 8.6.1 Elastic analysis by finite elements (two-dimensional media) 520 8.6.2 Three-dimensional cracked structures 528 8.6.3 Integration of the models 533 x Contents 7 Crack analysis by the local approach 535 8.7.1 Limits and inadequacies of the global fracture mechanics 535 8.7.2 Principles of the local approaches 538 8.7.3 Examples 542 Bibliography 549 Index 550
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id	DE-604.BV013390082
illustrated	Illustrated
indexdate	2024-12-20T10:46:24Z
institution	BVB
isbn	0521328535 0521477581
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-009133863
oclc_num	1020598215
open_access_boolean
owner	DE-91G DE-BY-TUM DE-573 DE-860 DE-1047
owner_facet	DE-91G DE-BY-TUM DE-573 DE-860 DE-1047
physical	XXV, 556 S. Ill., graph. Darst.
publishDate	2000
publishDateSearch	2000
publishDateSort	2000
publisher	Cambridge Univ Press
record_format	marc
spellingShingle	Lemaitre, Jean Chaboche, Jean-Louis Mechanics of solid materials Strength of materials Thermoelastizität (DE-588)4185143-2 gnd Festigkeitslehre (DE-588)4016917-0 gnd Elastizität (DE-588)4014159-7 gnd Kontinuumsmechanik (DE-588)4032296-8 gnd Plastizität (DE-588)4046283-3 gnd Deformation (DE-588)4070262-5 gnd Viskoplastizität (DE-588)4136051-5 gnd Viskoelastizität (DE-588)4063621-5 gnd Festkörpermechanik (DE-588)4129367-8 gnd Nichtgleichgewichtsthermodynamik (DE-588)4130850-5 gnd
subject_GND	(DE-588)4185143-2 (DE-588)4016917-0 (DE-588)4014159-7 (DE-588)4032296-8 (DE-588)4046283-3 (DE-588)4070262-5 (DE-588)4136051-5 (DE-588)4063621-5 (DE-588)4129367-8 (DE-588)4130850-5
title	Mechanics of solid materials
title_alt	Mécanique des matériaux solides
title_auth	Mechanics of solid materials
title_exact_search	Mechanics of solid materials
title_full	Mechanics of solid materials Jean Lemaitre and Jean-Louis Chaboche
title_fullStr	Mechanics of solid materials Jean Lemaitre and Jean-Louis Chaboche
title_full_unstemmed	Mechanics of solid materials Jean Lemaitre and Jean-Louis Chaboche
title_short	Mechanics of solid materials
title_sort	mechanics of solid materials
topic	Strength of materials Thermoelastizität (DE-588)4185143-2 gnd Festigkeitslehre (DE-588)4016917-0 gnd Elastizität (DE-588)4014159-7 gnd Kontinuumsmechanik (DE-588)4032296-8 gnd Plastizität (DE-588)4046283-3 gnd Deformation (DE-588)4070262-5 gnd Viskoplastizität (DE-588)4136051-5 gnd Viskoelastizität (DE-588)4063621-5 gnd Festkörpermechanik (DE-588)4129367-8 gnd Nichtgleichgewichtsthermodynamik (DE-588)4130850-5 gnd
topic_facet	Strength of materials Thermoelastizität Festigkeitslehre Elastizität Kontinuumsmechanik Plastizität Deformation Viskoplastizität Viskoelastizität Festkörpermechanik Nichtgleichgewichtsthermodynamik
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009133863&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT lemaitrejean mecaniquedesmateriauxsolides AT chabochejeanlouis mecaniquedesmateriauxsolides AT lemaitrejean mechanicsofsolidmaterials AT chabochejeanlouis mechanicsofsolidmaterials

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