Evolution of phase transitions: a continuum theory
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge [u.a.]
Cambridge University Press
2006
|
| Ausgabe: | 1. publ. |
| Schlagworte: | |
| Online-Zugang: | Table of contents Publisher description Inhaltsverzeichnis |
| Beschreibung: | XV, 242 S. graph. Darst. |
| ISBN: | 0521661471 9780521661478 |
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| 100 | 1 | |a Abeyaratne, Rohan |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Evolution of phase transitions |b a continuum theory |c Rohan Abeyaratne ; James K. Knowles |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Cambridge [u.a.] |b Cambridge University Press |c 2006 | |
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| 650 | 4 | |a Matière, Théorie cinétique de la | |
| 650 | 4 | |a Milieux continus, Mécanique des | |
| 650 | 7 | |a Thermo-elasticiteit |2 gtt | |
| 650 | 4 | |a Transitions de phase | |
| 650 | 4 | |a Phase transformations (Statistical physics) | |
| 650 | 4 | |a Continuum mechanics | |
| 650 | 4 | |a Kinetic theory of matter | |
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Datensatz im Suchindex
| _version_ | 1804135771705180160 |
|---|---|
| adam_text | EVOLUTION OF PHASE TRANSITIONS A CONTINUUM THEORY ROHAN ABEYARATNE
MASSACHUSETTS INSTITUTE OF TECHNOLOGY JAMES K. KNOWLES CALIFORNIA
INSTITUTE OF TECHNOLOGY CAMBRIDGE UNIVERSITY PRESS CONTENTS PREFACE PAGE
XIII PART I INTRODUCTION 1 INTRODUCTION 3 1.1 WHAT THIS MONOGRAPH IS
ABOUT 3 1.2 SOME EXPERIMENTS 7 1.3 CONTINUUM MECHANICS 9 1.4 QUASILINEAR
SYSTEMS 10 1.5 OUTLINE OF MONOGRAPH 11 PART II PURELY MECHANICAL THEORY
2 TWO-WELL POTENTIALS, GOVERNING EQUATIONS AND ENERGETICS 19 2.1
INTRODUCTION 19 2.2 TWO-PHASE NONLINEARLY ELASTIC MATERIALS 20 2.3 FIELD
EQUATIONS AND JUMP CONDITIONS 25 2.4 ENERGETICS OF MOTION, DRIVING FORCE
AND DISSIPATION INEQUALITY 27 3 EQUILIBRIUM PHASE MIXTURES AND
QUASISTATIC PROCESSES 32 3.1 INTRODUCTION 32 3.2 EQUILIBRIUM STATES 33
3.3 VARIATIONAL THEORY OF EQUILIBRIUM MIXTURES OF PHASES 37 3.4
QUASISTATIC PROCESSES 42 3.5 NUCLEATION AND KINETICS 44 3.6 CONSTANT
ELONGATION RATE PROCESSES 47 3.7 HYSTERESIS 53 VIII CONTENTS 4
IMPACT-INDUCED TRANSITIONS IN TWO-PHASE ELASTIC MATERIALS 59 4.1
INTRODUCTION 59 4.2 THE IMPACT PROBLEM FOR TRILINEAR TWO-PHASE MATERIALS
61 4.2.1 THE CONSTITUTIVE LAW 61 4.2.2 THE IMPACT PROBLEM 64 4.3
SCALE-INVARIANT SOLUTIONS OF THE IMPACT PROBLEM 66 4.3.1 SOLUTIONS
WITHOUT A PHASE TRANSITION 66 4.3.2 SOLUTIONS WITH A PHASE TRANSITION:
THE TWO-WAVE CASE 67 4.3.3 SOLUTIONS WITH A PHASE TRANSITION: THE
ONE-WAVE CASE 68 4.3.4 THE TOTALITY OF SOLUTIONS 69 4.4 NUCLEATION AND
KINETICS 71 4.5 COMPARISON WITH EXPERIMENT 74 4.6 OTHER TYPES OF KINETIC
RELATIONS 77 4.7 RELATED WORK 77 PART III THERMOMECHANICAL THEORY 5
MULTIPLE-WELL FREE ENERGY POTENTIALS 85 5.1 INTRODUCTION 85 5.2
HELMHOLTZ FREE ENERGY POTENTIAL 86 5.3 POTENTIAL ENERGY FUNCTION AND THE
EFFECT OF STRESS 88 5.4 EXAMPLE 1: THE VAN DER WAALS FLUID 90 5.5
EXAMPLE 2: TWO-PHASE MARTENSITIC MATERIAL WITH CUBIC AND TETRAGONAL
PHASES 95 6 THE CONTINUUM THEORY OF DRIVING FORCE 105 6.1 INTRODUCTION
105 6.2 BALANCE LAWS, FIELD EQUATIONS AND JUMP CONDITIONS 106 6.2.1
BALANCES OF MOMENTUM AND ENERGY IN INTEGRAL FORM 106 6.2.2 LOCALIZATION
OF THE BALANCE LAWS 106 6.3 THE SECOND LAW OF THERMODYNAMICS AND THE
DRIVING FORCE 108 6.3.1 ENTROPY PRODUCTION RATE 108 6.3.2 DRIVING FORCE
AND THE SECOND LAW 110 6.3.3 DRIVING FORCE IN THE CASE OF MECHANICAL
EQUILIBRIUM 111 7 THERMOELASTIC MATERIALS 113 7.1 INTRODUCTION 113 7.2
THE THERMOELASTIC CONSTITUTIVE LAW 113 7.2.1 RELATIONS AMONG STRESS,
DEFORMATION GRADIENT, TEMPERATURE AND SPECIFIC ENTROPY 113 CONTENTS
7.2.2 THE HEAT CONDUCTION LAW 116 7.2.3 THE PARTIAL DIFFERENTIAL
EQUATIONS OF NONLINEAR THERMOELASTICITY 116 7.2.4 THERMOMECHANICAL
EQUILIBRIUM 117 7.3 STABILITY OF A THERMOELASTIC MATERIAL 118 7.4 A
ONE-DIMENSIONAL SPECIAL CASE: UNIAXIAL STRAIN 120 8 KINETICS AND
NUCLEATION 124 8.1 INTRODUCTION 124 8.2 NONEQUILIBRIUM PROCESSES,
THERMODYNAMIC FLUXES AND FORCES, KINETIC RELATION 124 8.3
PHENOMENOLOGICAL EXAMPLES OF KINETIC RELATIONS 127 8.4 MICROMECHANICALLY
BASED EXAMPLES OF KINETIC RELATIONS 128 8.4.1 VISCOSITY-STRAIN GRADIENT
MODEL 130 8.4.2 THERMAL ACTIVATION MODEL 131 8.4.3 PROPAGATION THROUGH A
ROW OF IMPERFECTIONS 133 8.4.4 KINETICS FROM ATOMISTIC CONSIDERATIONS
134 8.4.5 FRENKEL-KONTOROWA MODEL 136 8.5 NUCLEATION 139 PART IV
ONE-DIMENSIONAL THERMOELASTIC THEORY AND PROBLEMS 9 MODELS FOR TWO-PHASE
THERMOELASTIC MATERIALS IN ONE DIMENSION 149 9.1 PRELIMINARIES 149 9.2
MATERIALS OF MIE-GRUENEISEN TYPE 151 9.3 TWO-PHASE MIE-GRUENEISEN
MATERIALS 153 9.3.1 THE TRILINEAR MATERIAL 153 9.3.2 STABILITY OF PHASES
OF THE TRILINEAR MATERIAL 156 9.3.3 OTHER TWO-PHASE MATERIALS OF
MIE-GRUENEISEN TYPE 159 10 QUASISTATIC HYSTERESIS IN TWO-PHASE
THERMOELASTIC TENSILE BARS 163 10.1 PRELIMINARIES 163 10.2
THERMOMECHANICAL EQUILIBRIUM STATES FOR A TWO-PHASE MATERIAL 164 10.3
QUASISTATIC PROCESSES 166 10.4 TRILINEAR THERMOELASTIC MATERIAL 167 10.5
STRESS CYCLES AT CONSTANT TEMPERATURE 169 10.6 TEMPERATURE CYCLES AT
CONSTANT STRESS 173 X CONTENTS 10.7 THE SHAPE-MEMORY CYCLE 175 10.8 THE
EXPERIMENTS OF SHAW AND KYRIAKIDES 176 10.9 SLOW THERMOMECHANICAL
PROCESSES 178 11 DYNAMICS OF PHASE TRANSITIONS IN UNIAXIALLY STRAINED
THERMOELASTIC SOLIDS 181 11.1 INTRODUCTION 181 11.2 UNIAXIAL STRAIN IN
ADIABATIC THERMOELASTICITY 182 11.2.1 FIELD EQUATIONS, JUMP CONDITIONS
AND DRIVING FORCE 182 11.2.2 THE TRILINEAR MIE-GRIINEISEN THERMOELASTIC
MATERIAL 183 11.3 THE IMPACT PROBLEM 185 11.3.1 FORMULATION:
SCALE-INVARIANT SOLUTIONS 185 11.3.2 SOLUTIONS WITH NO PHASE TRANSITION
186 11.3.3 SOLUTIONS WITH A PHASE TRANSITION 188 PART V HIGHER
DIMENSIONAL PROBLEMS 12 STATICS: GEOMETRIC COMPATIBILITY 197 12.1
PRELIMINARIES 197 12.2 EXAMPLES 200 13 DYNAMICS: IMPACT-INDUCED
TRANSITION IN A CUALNI SINGLE CRYSTAL 209 13.1 INTRODUCTION 209 13.2
PRELIMINARIES 210 13.3 IMPACT WITHOUT PHASE TRANSFORMATION 212 13.4
IMPACT WITH PHASE TRANSFORMATION 214 13.5 APPLICATION TO AUSTENITE-/3J
MARTENSITE TRANSFORMATION IN CUALNI 217 13.5.1 EXPERIMENTAL DATA 217
13.5.2 PHASE BOUNDARY SPEED 218 13.5.3 DRIVING FORCE 218 13.5.4 KINETIC
LAW 219 14 QUASISTATICS: KINETICS OF MARTENSITIC TWINNING 221 14.1
INTRODUCTION 221 14.2 THE MATERIAL AND LOADING DEVICE 222 14.3
OBSERVATIONS 223 14.4 THE MODEL 225 14.5 THE ENERGY OF THE SYSTEM 226
14.5.1 ELASTIC ENERGY OF THE SPECIMEN 226 14.5.2 LOADING DEVICE ENERGY
227 14.5.3 SUMMARY 228 CONTENTS XI 14.6 THE EFFECT OF THE TRANSITION
LAYERS: FURTHER OBSERVATIONS 229 14.7 THE EFFECT OF THE TRANSITION
LAYERS: FURTHER MODELING 230 14.8 KINETICS 231 AUTHOR INDEX 235 SUBJECT
INDEX 238
|
| adam_txt |
EVOLUTION OF PHASE TRANSITIONS A CONTINUUM THEORY ROHAN ABEYARATNE
MASSACHUSETTS INSTITUTE OF TECHNOLOGY JAMES K. KNOWLES CALIFORNIA
INSTITUTE OF TECHNOLOGY CAMBRIDGE UNIVERSITY PRESS CONTENTS PREFACE PAGE
XIII PART I INTRODUCTION 1 INTRODUCTION 3 1.1 WHAT THIS MONOGRAPH IS
ABOUT 3 1.2 SOME EXPERIMENTS 7 1.3 CONTINUUM MECHANICS 9 1.4 QUASILINEAR
SYSTEMS 10 1.5 OUTLINE OF MONOGRAPH 11 PART II PURELY MECHANICAL THEORY
2 TWO-WELL POTENTIALS, GOVERNING EQUATIONS AND ENERGETICS 19 2.1
INTRODUCTION 19 2.2 TWO-PHASE NONLINEARLY ELASTIC MATERIALS 20 2.3 FIELD
EQUATIONS AND JUMP CONDITIONS 25 2.4 ENERGETICS OF MOTION, DRIVING FORCE
AND DISSIPATION INEQUALITY 27 3 EQUILIBRIUM PHASE MIXTURES AND
QUASISTATIC PROCESSES 32 3.1 INTRODUCTION 32 3.2 EQUILIBRIUM STATES 33
3.3 VARIATIONAL THEORY OF EQUILIBRIUM MIXTURES OF PHASES 37 3.4
QUASISTATIC PROCESSES 42 3.5 NUCLEATION AND KINETICS 44 3.6 CONSTANT
ELONGATION RATE PROCESSES 47 3.7 HYSTERESIS 53 VIII CONTENTS 4
IMPACT-INDUCED TRANSITIONS IN TWO-PHASE ELASTIC MATERIALS 59 4.1
INTRODUCTION 59 4.2 THE IMPACT PROBLEM FOR TRILINEAR TWO-PHASE MATERIALS
61 4.2.1 THE CONSTITUTIVE LAW 61 4.2.2 THE IMPACT PROBLEM 64 4.3
SCALE-INVARIANT SOLUTIONS OF THE IMPACT PROBLEM 66 4.3.1 SOLUTIONS
WITHOUT A PHASE TRANSITION 66 4.3.2 SOLUTIONS WITH A PHASE TRANSITION:
THE TWO-WAVE CASE 67 4.3.3 SOLUTIONS WITH A PHASE TRANSITION: THE
ONE-WAVE CASE 68 4.3.4 THE TOTALITY OF SOLUTIONS 69 4.4 NUCLEATION AND
KINETICS 71 4.5 COMPARISON WITH EXPERIMENT 74 4.6 OTHER TYPES OF KINETIC
RELATIONS 77 4.7 RELATED WORK 77 PART III THERMOMECHANICAL THEORY 5
MULTIPLE-WELL FREE ENERGY POTENTIALS 85 5.1 INTRODUCTION 85 5.2
HELMHOLTZ FREE ENERGY POTENTIAL 86 5.3 POTENTIAL ENERGY FUNCTION AND THE
EFFECT OF STRESS 88 5.4 EXAMPLE 1: THE VAN DER WAALS FLUID 90 5.5
EXAMPLE 2: TWO-PHASE MARTENSITIC MATERIAL WITH CUBIC AND TETRAGONAL
PHASES 95 6 THE CONTINUUM THEORY OF DRIVING FORCE 105 6.1 INTRODUCTION
105 6.2 BALANCE LAWS, FIELD EQUATIONS AND JUMP CONDITIONS 106 6.2.1
BALANCES OF MOMENTUM AND ENERGY IN INTEGRAL FORM 106 6.2.2 LOCALIZATION
OF THE BALANCE LAWS 106 6.3 THE SECOND LAW OF THERMODYNAMICS AND THE
DRIVING FORCE 108 6.3.1 ENTROPY PRODUCTION RATE 108 6.3.2 DRIVING FORCE
AND THE SECOND LAW 110 6.3.3 DRIVING FORCE IN THE CASE OF MECHANICAL
EQUILIBRIUM 111 7 THERMOELASTIC MATERIALS 113 7.1 INTRODUCTION 113 7.2
THE THERMOELASTIC CONSTITUTIVE LAW 113 7.2.1 RELATIONS AMONG STRESS,
DEFORMATION GRADIENT, TEMPERATURE AND SPECIFIC ENTROPY 113 CONTENTS
7.2.2 THE HEAT CONDUCTION LAW 116 7.2.3 THE PARTIAL DIFFERENTIAL
EQUATIONS OF NONLINEAR THERMOELASTICITY 116 7.2.4 THERMOMECHANICAL
EQUILIBRIUM 117 7.3 STABILITY OF A THERMOELASTIC MATERIAL 118 7.4 A
ONE-DIMENSIONAL SPECIAL CASE: UNIAXIAL STRAIN 120 8 KINETICS AND
NUCLEATION 124 8.1 INTRODUCTION 124 8.2 NONEQUILIBRIUM PROCESSES,
THERMODYNAMIC FLUXES AND FORCES, KINETIC RELATION 124 8.3
PHENOMENOLOGICAL EXAMPLES OF KINETIC RELATIONS 127 8.4 MICROMECHANICALLY
BASED EXAMPLES OF KINETIC RELATIONS 128 8.4.1 VISCOSITY-STRAIN GRADIENT
MODEL 130 8.4.2 THERMAL ACTIVATION MODEL 131 8.4.3 PROPAGATION THROUGH A
ROW OF IMPERFECTIONS 133 8.4.4 KINETICS FROM ATOMISTIC CONSIDERATIONS
134 8.4.5 FRENKEL-KONTOROWA MODEL 136 8.5 NUCLEATION 139 PART IV
ONE-DIMENSIONAL THERMOELASTIC THEORY AND PROBLEMS 9 MODELS FOR TWO-PHASE
THERMOELASTIC MATERIALS IN ONE DIMENSION 149 9.1 PRELIMINARIES 149 9.2
MATERIALS OF MIE-GRUENEISEN TYPE 151 9.3 TWO-PHASE MIE-GRUENEISEN
MATERIALS 153 9.3.1 THE TRILINEAR MATERIAL 153 9.3.2 STABILITY OF PHASES
OF THE TRILINEAR MATERIAL 156 9.3.3 OTHER TWO-PHASE MATERIALS OF
MIE-GRUENEISEN TYPE 159 10 QUASISTATIC HYSTERESIS IN TWO-PHASE
THERMOELASTIC TENSILE BARS 163 10.1 PRELIMINARIES 163 10.2
THERMOMECHANICAL EQUILIBRIUM STATES FOR A TWO-PHASE MATERIAL 164 10.3
QUASISTATIC PROCESSES 166 10.4 TRILINEAR THERMOELASTIC MATERIAL 167 10.5
STRESS CYCLES AT CONSTANT TEMPERATURE 169 10.6 TEMPERATURE CYCLES AT
CONSTANT STRESS 173 X CONTENTS 10.7 THE SHAPE-MEMORY CYCLE 175 10.8 THE
EXPERIMENTS OF SHAW AND KYRIAKIDES 176 10.9 SLOW THERMOMECHANICAL
PROCESSES 178 11 DYNAMICS OF PHASE TRANSITIONS IN UNIAXIALLY STRAINED
THERMOELASTIC SOLIDS 181 11.1 INTRODUCTION 181 11.2 UNIAXIAL STRAIN IN
ADIABATIC THERMOELASTICITY 182 11.2.1 FIELD EQUATIONS, JUMP CONDITIONS
AND DRIVING FORCE 182 11.2.2 THE TRILINEAR MIE-GRIINEISEN THERMOELASTIC
MATERIAL 183 11.3 THE IMPACT PROBLEM 185 11.3.1 FORMULATION:
SCALE-INVARIANT SOLUTIONS 185 11.3.2 SOLUTIONS WITH NO PHASE TRANSITION
186 11.3.3 SOLUTIONS WITH A PHASE TRANSITION 188 PART V HIGHER
DIMENSIONAL PROBLEMS 12 STATICS: GEOMETRIC COMPATIBILITY 197 12.1
PRELIMINARIES 197 12.2 EXAMPLES 200 13 DYNAMICS: IMPACT-INDUCED
TRANSITION IN A CUALNI SINGLE CRYSTAL 209 13.1 INTRODUCTION 209 13.2
PRELIMINARIES 210 13.3 IMPACT WITHOUT PHASE TRANSFORMATION 212 13.4
IMPACT WITH PHASE TRANSFORMATION 214 13.5 APPLICATION TO AUSTENITE-/3J
MARTENSITE TRANSFORMATION IN CUALNI 217 13.5.1 EXPERIMENTAL DATA 217
13.5.2 PHASE BOUNDARY SPEED 218 13.5.3 DRIVING FORCE 218 13.5.4 KINETIC
LAW 219 14 QUASISTATICS: KINETICS OF MARTENSITIC TWINNING 221 14.1
INTRODUCTION 221 14.2 THE MATERIAL AND LOADING DEVICE 222 14.3
OBSERVATIONS 223 14.4 THE MODEL 225 14.5 THE ENERGY OF THE SYSTEM 226
14.5.1 ELASTIC ENERGY OF THE SPECIMEN 226 14.5.2 LOADING DEVICE ENERGY
227 14.5.3 SUMMARY 228 CONTENTS XI 14.6 THE EFFECT OF THE TRANSITION
LAYERS: FURTHER OBSERVATIONS 229 14.7 THE EFFECT OF THE TRANSITION
LAYERS: FURTHER MODELING 230 14.8 KINETICS 231 AUTHOR INDEX 235 SUBJECT
INDEX 238 |
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| id | DE-604.BV021838383 |
| illustrated | Illustrated |
| index_date | 2024-07-02T15:59:34Z |
| indexdate | 2024-07-09T20:45:48Z |
| institution | BVB |
| isbn | 0521661471 9780521661478 |
| language | English |
| lccn | 2005033285 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-015050270 |
| oclc_num | 62342046 |
| open_access_boolean | |
| owner | DE-703 DE-91G DE-BY-TUM |
| owner_facet | DE-703 DE-91G DE-BY-TUM |
| physical | XV, 242 S. graph. Darst. |
| publishDate | 2006 |
| publishDateSearch | 2006 |
| publishDateSort | 2006 |
| publisher | Cambridge University Press |
| record_format | marc |
| spelling | Abeyaratne, Rohan Verfasser aut Evolution of phase transitions a continuum theory Rohan Abeyaratne ; James K. Knowles 1. publ. Cambridge [u.a.] Cambridge University Press 2006 XV, 242 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Fase-overgangen gtt Matière, Théorie cinétique de la Milieux continus, Mécanique des Thermo-elasticiteit gtt Transitions de phase Phase transformations (Statistical physics) Continuum mechanics Kinetic theory of matter Phasenumwandlung (DE-588)4132140-6 gnd rswk-swf Festkörper (DE-588)4016918-2 gnd rswk-swf Festkörper (DE-588)4016918-2 s Phasenumwandlung (DE-588)4132140-6 s DE-604 Knowles, James K. Sonstige oth http://www.loc.gov/catdir/toc/ecip063/2005033285.html Table of contents http://www.loc.gov/catdir/enhancements/fy0633/2005033285-d.html Publisher description GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015050270&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Abeyaratne, Rohan Evolution of phase transitions a continuum theory Fase-overgangen gtt Matière, Théorie cinétique de la Milieux continus, Mécanique des Thermo-elasticiteit gtt Transitions de phase Phase transformations (Statistical physics) Continuum mechanics Kinetic theory of matter Phasenumwandlung (DE-588)4132140-6 gnd Festkörper (DE-588)4016918-2 gnd |
| subject_GND | (DE-588)4132140-6 (DE-588)4016918-2 |
| title | Evolution of phase transitions a continuum theory |
| title_auth | Evolution of phase transitions a continuum theory |
| title_exact_search | Evolution of phase transitions a continuum theory |
| title_exact_search_txtP | Evolution of phase transitions a continuum theory |
| title_full | Evolution of phase transitions a continuum theory Rohan Abeyaratne ; James K. Knowles |
| title_fullStr | Evolution of phase transitions a continuum theory Rohan Abeyaratne ; James K. Knowles |
| title_full_unstemmed | Evolution of phase transitions a continuum theory Rohan Abeyaratne ; James K. Knowles |
| title_short | Evolution of phase transitions |
| title_sort | evolution of phase transitions a continuum theory |
| title_sub | a continuum theory |
| topic | Fase-overgangen gtt Matière, Théorie cinétique de la Milieux continus, Mécanique des Thermo-elasticiteit gtt Transitions de phase Phase transformations (Statistical physics) Continuum mechanics Kinetic theory of matter Phasenumwandlung (DE-588)4132140-6 gnd Festkörper (DE-588)4016918-2 gnd |
| topic_facet | Fase-overgangen Matière, Théorie cinétique de la Milieux continus, Mécanique des Thermo-elasticiteit Transitions de phase Phase transformations (Statistical physics) Continuum mechanics Kinetic theory of matter Phasenumwandlung Festkörper |
| url | http://www.loc.gov/catdir/toc/ecip063/2005033285.html http://www.loc.gov/catdir/enhancements/fy0633/2005033285-d.html http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015050270&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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