Mechanics and mathematics of crystals :: selected papers of J.L. Ericksen /
This book is a unique and comprehensive collection of pioneeringcontributions to the mechanics of crystals by J L Ericksen, aprominent and leading contributor to the study of the mechanics andmathematics of crystalline solids over the past 35 years.
Gespeichert in:
| Weitere Verfasser: | , , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Hackensack, NJ. :
World Scientific,
©2005.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | This book is a unique and comprehensive collection of pioneeringcontributions to the mechanics of crystals by J L Ericksen, aprominent and leading contributor to the study of the mechanics andmathematics of crystalline solids over the past 35 years. |
| Beschreibung: | 1 online resource (xxxi, 621 pages) : illustrations |
| Bibliographie: | Includes bibliographical references. |
| ISBN: | 9812569413 9789812569417 9789812562838 9812562834 1281881066 9781281881069 9786611881061 6611881069 |
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| 245 | 0 | 0 | |a Mechanics and mathematics of crystals : |b selected papers of J.L. Ericksen / |c editors Millard F. Beatty, Michael A. Hayes. |
| 260 | |a Hackensack, NJ. : |b World Scientific, |c ©2005. | ||
| 300 | |a 1 online resource (xxxi, 621 pages) : |b illustrations | ||
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| 504 | |a Includes bibliographical references. | ||
| 588 | 0 | |a Print version record. | |
| 520 | |a This book is a unique and comprehensive collection of pioneeringcontributions to the mechanics of crystals by J L Ericksen, aprominent and leading contributor to the study of the mechanics andmathematics of crystalline solids over the past 35 years. | ||
| 505 | 0 | |a Foreword; Acknowledgment; J.L. Ericksen's Autobiography; 1. The Early Years; 2. World War II; 3. Back To School; 4. Comments On My Formal Education; 5. U.S. Naval Research Laboratory (NRL); 6. Johns Hopkins University (JHU); 7. University of Minnesota (UMN); 8. Retirement; Publications of J.L. Ericksen; 1. Crystal Symmetry; On the Symmetry of Crystals*; 1 The group; 2 Elasticity; References; NONLINEAR ELASTICITY OF DIATOMIC CRYSTALS; 1. INTRODUCTION; 2. LATTICES; 3. CONTINUUM THEORY; REFERENCES; On the Symmetry of Deformable Crystals; 1. Introduction; 2. The Groups; 3. Fixed Sets. | |
| 505 | 8 | |a 4. Structures of Fixed Sets5. Examples; References; CHANGES IN SYMMETRY IN ELASTIC CRYSTALS; 1. Introduction; 2. Molecular theory; 3. Examples; ACKNOWLEDGMENT; REFERENCES; Crystal Lattices and Sub-Lattices.; 1. Introduction.; 2. The vectors.; 3. Simple observations.; REFERENCES; On Nonessential Descriptions of Crystal Multilattices; 1. INTRODUCTION; 2. PRELIMINARIES; 3. SOME BACKGROUND; 4. REDUCIBLE n-LATTICES; 5. NONESSENTIAL DESCRIPTIONS; 6. SYMMETRY GROUPS; 7. GROUPS AS LIMITS; 8. REMARKS; NOTES; REFERENCES; On Groups Occurring in the Theory of Crystal Multi-Lattices; 1. Introduction. | |
| 505 | 8 | |a 2. Preliminaries3. The Group (v); 4. Characterizations; 5. Classifying Configurations; 6. 2-Lattice Examples; 7. 3-Lattice Examples; References; 2. Constitutive Theory; MULTI-VALUED STRAIN ENERGY FUNCTIONS FOR CRYSTALS; 1. INTRODUCTION; 2. THE PATTERN; 3. REMARKS; REFERENCES; THE CAUCHY AND BORN HYPOTHESES FOR CRYSTALS; 1. INTRODUCTION.; 2. THE HYPOTHESES.; 3. LATTICE-INVARIANT DEFORMATIONS.; 4. PRACTICE.; REFERENCES; CONSTITUTIVE THEORY FOR SOME CONSTRAINED ELASTIC CRYSTALS; 1. INTRODUCTION; 2. CONSTRAINTS; 3. KINEMATICAL CONSIDERATIONS; 4. COHERENT COEXISTENCE; 5. ENERGETICS. | |
| 505 | 8 | |a 6. EQUILIBRIUM EQUATIONSREFERENCES; 11 SOME CONSTRAINED ELASTIC CRYSTALS; 1 . INTRODUCTION; 2. CONSTRAINTS; 3. JUMP DISCONTINUITIES; 4. THE REMAINING CONSTRAINT; 5. PHASE INTERFACES; ACKNOWLEDGEMENT; REFERENCES; Equilibrium Theory for X-ray Observations of Crystals; 1. Introduction; 2. On Molecular Theory; 3. Constraints and B.R.; 4. Equilibrium Equations; 6. On Twinning; References; A Minimization Problem in the X-ray Theory; Summary; 1 Introduction; 2 Kinematics of n-lattices; 3 Constitutive equations; 4 Energy minimization; Acknowledgment:; References; Notes on the X-ray Theory. | |
| 505 | 8 | |a 1. Introduction2. Kinematics of n-lattices; 3. Constitutive Equations; 4. Reformulations; 5. Some Implications of Invariance; 6. Examples; 7. Reference Configurations; Acknowledgment; References; On Pitteri Neighborhoods Centered at Hexagonal Close-Packed Configurations; 1. Introduction; 2. X-ray theory; 3. Reformulation; 4. Hexagonal close-packed neighborhoods; 5. Structure of the neighborhoods; 6. Quadratic constitutive equations; 7. Appendix; References; 3. Defects; VOLTERRA DISLOCATIONS IN NONLINEARLY ELASTIC BODIES; 1. Introduction.; 2. Preliminaries.; 3. Local Conditions.; 4. Symmetry. | |
| 546 | |a English. | ||
| 600 | 1 | 0 | |a Ericksen, J. L. |q (Jerald L.), |d 1924- |0 http://id.loc.gov/authorities/names/n84028588 |
| 600 | 1 | 7 | |a Ericksen, J. L. |q (Jerald L.), |d 1924- |2 fast |1 https://id.oclc.org/worldcat/entity/E39PBJvXk3k9pGXjcv3rbg48YP |
| 650 | 0 | |a Crystallography, Mathematical. |0 http://id.loc.gov/authorities/subjects/sh85034501 | |
| 650 | 6 | |a Cristallographie mathématique. | |
| 650 | 7 | |a SCIENCE |x Physics |x Crystallography. |2 bisacsh | |
| 650 | 7 | |a Crystallography, Mathematical |2 fast | |
| 700 | 1 | |a Beatty, Millard F. | |
| 700 | 1 | |a Hayes, Michael A. | |
| 700 | 1 | |a Ericksen, J. L. |q (Jerald L.), |d 1924- |1 https://id.oclc.org/worldcat/entity/E39PBJvXk3k9pGXjcv3rbg48YP |0 http://id.loc.gov/authorities/names/n84028588 | |
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| author2 | Beatty, Millard F. Hayes, Michael A. Ericksen, J. L. (Jerald L.), 1924- |
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| contents | Foreword; Acknowledgment; J.L. Ericksen's Autobiography; 1. The Early Years; 2. World War II; 3. Back To School; 4. Comments On My Formal Education; 5. U.S. Naval Research Laboratory (NRL); 6. Johns Hopkins University (JHU); 7. University of Minnesota (UMN); 8. Retirement; Publications of J.L. Ericksen; 1. Crystal Symmetry; On the Symmetry of Crystals*; 1 The group; 2 Elasticity; References; NONLINEAR ELASTICITY OF DIATOMIC CRYSTALS; 1. INTRODUCTION; 2. LATTICES; 3. CONTINUUM THEORY; REFERENCES; On the Symmetry of Deformable Crystals; 1. Introduction; 2. The Groups; 3. Fixed Sets. 4. Structures of Fixed Sets5. Examples; References; CHANGES IN SYMMETRY IN ELASTIC CRYSTALS; 1. Introduction; 2. Molecular theory; 3. Examples; ACKNOWLEDGMENT; REFERENCES; Crystal Lattices and Sub-Lattices.; 1. Introduction.; 2. The vectors.; 3. Simple observations.; REFERENCES; On Nonessential Descriptions of Crystal Multilattices; 1. INTRODUCTION; 2. PRELIMINARIES; 3. SOME BACKGROUND; 4. REDUCIBLE n-LATTICES; 5. NONESSENTIAL DESCRIPTIONS; 6. SYMMETRY GROUPS; 7. GROUPS AS LIMITS; 8. REMARKS; NOTES; REFERENCES; On Groups Occurring in the Theory of Crystal Multi-Lattices; 1. Introduction. 2. Preliminaries3. The Group (v); 4. Characterizations; 5. Classifying Configurations; 6. 2-Lattice Examples; 7. 3-Lattice Examples; References; 2. Constitutive Theory; MULTI-VALUED STRAIN ENERGY FUNCTIONS FOR CRYSTALS; 1. INTRODUCTION; 2. THE PATTERN; 3. REMARKS; REFERENCES; THE CAUCHY AND BORN HYPOTHESES FOR CRYSTALS; 1. INTRODUCTION.; 2. THE HYPOTHESES.; 3. LATTICE-INVARIANT DEFORMATIONS.; 4. PRACTICE.; REFERENCES; CONSTITUTIVE THEORY FOR SOME CONSTRAINED ELASTIC CRYSTALS; 1. INTRODUCTION; 2. CONSTRAINTS; 3. KINEMATICAL CONSIDERATIONS; 4. COHERENT COEXISTENCE; 5. ENERGETICS. 6. EQUILIBRIUM EQUATIONSREFERENCES; 11 SOME CONSTRAINED ELASTIC CRYSTALS; 1 . INTRODUCTION; 2. CONSTRAINTS; 3. JUMP DISCONTINUITIES; 4. THE REMAINING CONSTRAINT; 5. PHASE INTERFACES; ACKNOWLEDGEMENT; REFERENCES; Equilibrium Theory for X-ray Observations of Crystals; 1. Introduction; 2. On Molecular Theory; 3. Constraints and B.R.; 4. Equilibrium Equations; 6. On Twinning; References; A Minimization Problem in the X-ray Theory; Summary; 1 Introduction; 2 Kinematics of n-lattices; 3 Constitutive equations; 4 Energy minimization; Acknowledgment:; References; Notes on the X-ray Theory. 1. Introduction2. Kinematics of n-lattices; 3. Constitutive Equations; 4. Reformulations; 5. Some Implications of Invariance; 6. Examples; 7. Reference Configurations; Acknowledgment; References; On Pitteri Neighborhoods Centered at Hexagonal Close-Packed Configurations; 1. Introduction; 2. X-ray theory; 3. Reformulation; 4. Hexagonal close-packed neighborhoods; 5. Structure of the neighborhoods; 6. Quadratic constitutive equations; 7. Appendix; References; 3. Defects; VOLTERRA DISLOCATIONS IN NONLINEARLY ELASTIC BODIES; 1. Introduction.; 2. Preliminaries.; 3. Local Conditions.; 4. Symmetry. |
| ctrlnum | (OCoLC)228138840 |
| dewey-full | 548/.7 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 548 - Crystallography |
| dewey-raw | 548/.7 |
| dewey-search | 548/.7 |
| dewey-sort | 3548 17 |
| dewey-tens | 540 - Chemistry and allied sciences |
| discipline | Chemie / Pharmazie |
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| illustrated | Illustrated |
| indexdate | 2024-11-27T13:16:20Z |
| institution | BVB |
| isbn | 9812569413 9789812569417 9789812562838 9812562834 1281881066 9781281881069 9786611881061 6611881069 |
| language | English |
| oclc_num | 228138840 |
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| spelling | Mechanics and mathematics of crystals : selected papers of J.L. Ericksen / editors Millard F. Beatty, Michael A. Hayes. Hackensack, NJ. : World Scientific, ©2005. 1 online resource (xxxi, 621 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier data file Includes bibliographical references. Print version record. This book is a unique and comprehensive collection of pioneeringcontributions to the mechanics of crystals by J L Ericksen, aprominent and leading contributor to the study of the mechanics andmathematics of crystalline solids over the past 35 years. Foreword; Acknowledgment; J.L. Ericksen's Autobiography; 1. The Early Years; 2. World War II; 3. Back To School; 4. Comments On My Formal Education; 5. U.S. Naval Research Laboratory (NRL); 6. Johns Hopkins University (JHU); 7. University of Minnesota (UMN); 8. Retirement; Publications of J.L. Ericksen; 1. Crystal Symmetry; On the Symmetry of Crystals*; 1 The group; 2 Elasticity; References; NONLINEAR ELASTICITY OF DIATOMIC CRYSTALS; 1. INTRODUCTION; 2. LATTICES; 3. CONTINUUM THEORY; REFERENCES; On the Symmetry of Deformable Crystals; 1. Introduction; 2. The Groups; 3. Fixed Sets. 4. Structures of Fixed Sets5. Examples; References; CHANGES IN SYMMETRY IN ELASTIC CRYSTALS; 1. Introduction; 2. Molecular theory; 3. Examples; ACKNOWLEDGMENT; REFERENCES; Crystal Lattices and Sub-Lattices.; 1. Introduction.; 2. The vectors.; 3. Simple observations.; REFERENCES; On Nonessential Descriptions of Crystal Multilattices; 1. INTRODUCTION; 2. PRELIMINARIES; 3. SOME BACKGROUND; 4. REDUCIBLE n-LATTICES; 5. NONESSENTIAL DESCRIPTIONS; 6. SYMMETRY GROUPS; 7. GROUPS AS LIMITS; 8. REMARKS; NOTES; REFERENCES; On Groups Occurring in the Theory of Crystal Multi-Lattices; 1. Introduction. 2. Preliminaries3. The Group (v); 4. Characterizations; 5. Classifying Configurations; 6. 2-Lattice Examples; 7. 3-Lattice Examples; References; 2. Constitutive Theory; MULTI-VALUED STRAIN ENERGY FUNCTIONS FOR CRYSTALS; 1. INTRODUCTION; 2. THE PATTERN; 3. REMARKS; REFERENCES; THE CAUCHY AND BORN HYPOTHESES FOR CRYSTALS; 1. INTRODUCTION.; 2. THE HYPOTHESES.; 3. LATTICE-INVARIANT DEFORMATIONS.; 4. PRACTICE.; REFERENCES; CONSTITUTIVE THEORY FOR SOME CONSTRAINED ELASTIC CRYSTALS; 1. INTRODUCTION; 2. CONSTRAINTS; 3. KINEMATICAL CONSIDERATIONS; 4. COHERENT COEXISTENCE; 5. ENERGETICS. 6. EQUILIBRIUM EQUATIONSREFERENCES; 11 SOME CONSTRAINED ELASTIC CRYSTALS; 1 . INTRODUCTION; 2. CONSTRAINTS; 3. JUMP DISCONTINUITIES; 4. THE REMAINING CONSTRAINT; 5. PHASE INTERFACES; ACKNOWLEDGEMENT; REFERENCES; Equilibrium Theory for X-ray Observations of Crystals; 1. Introduction; 2. On Molecular Theory; 3. Constraints and B.R.; 4. Equilibrium Equations; 6. On Twinning; References; A Minimization Problem in the X-ray Theory; Summary; 1 Introduction; 2 Kinematics of n-lattices; 3 Constitutive equations; 4 Energy minimization; Acknowledgment:; References; Notes on the X-ray Theory. 1. Introduction2. Kinematics of n-lattices; 3. Constitutive Equations; 4. Reformulations; 5. Some Implications of Invariance; 6. Examples; 7. Reference Configurations; Acknowledgment; References; On Pitteri Neighborhoods Centered at Hexagonal Close-Packed Configurations; 1. Introduction; 2. X-ray theory; 3. Reformulation; 4. Hexagonal close-packed neighborhoods; 5. Structure of the neighborhoods; 6. Quadratic constitutive equations; 7. Appendix; References; 3. Defects; VOLTERRA DISLOCATIONS IN NONLINEARLY ELASTIC BODIES; 1. Introduction.; 2. Preliminaries.; 3. Local Conditions.; 4. Symmetry. English. Ericksen, J. L. (Jerald L.), 1924- http://id.loc.gov/authorities/names/n84028588 Ericksen, J. L. (Jerald L.), 1924- fast https://id.oclc.org/worldcat/entity/E39PBJvXk3k9pGXjcv3rbg48YP Crystallography, Mathematical. http://id.loc.gov/authorities/subjects/sh85034501 Cristallographie mathématique. SCIENCE Physics Crystallography. bisacsh Crystallography, Mathematical fast Beatty, Millard F. Hayes, Michael A. Ericksen, J. L. (Jerald L.), 1924- https://id.oclc.org/worldcat/entity/E39PBJvXk3k9pGXjcv3rbg48YP http://id.loc.gov/authorities/names/n84028588 has work: Mechanics and mathematics of crystals (Text) https://id.oclc.org/worldcat/entity/E39PCGxM3vqjthJGTdwJWJgwcq https://id.oclc.org/worldcat/ontology/hasWork Print version: Ericksen, J.L. (Jerald L.), 1924- Mechanics and mathematics of crystals. Hackensack, NJ : World Scientific, ©2005 9812562834 (DLC) 2005296557 (OCoLC)61152972 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=161365 Volltext |
| spellingShingle | Mechanics and mathematics of crystals : selected papers of J.L. Ericksen / Foreword; Acknowledgment; J.L. Ericksen's Autobiography; 1. The Early Years; 2. World War II; 3. Back To School; 4. Comments On My Formal Education; 5. U.S. Naval Research Laboratory (NRL); 6. Johns Hopkins University (JHU); 7. University of Minnesota (UMN); 8. Retirement; Publications of J.L. Ericksen; 1. Crystal Symmetry; On the Symmetry of Crystals*; 1 The group; 2 Elasticity; References; NONLINEAR ELASTICITY OF DIATOMIC CRYSTALS; 1. INTRODUCTION; 2. LATTICES; 3. CONTINUUM THEORY; REFERENCES; On the Symmetry of Deformable Crystals; 1. Introduction; 2. The Groups; 3. Fixed Sets. 4. Structures of Fixed Sets5. Examples; References; CHANGES IN SYMMETRY IN ELASTIC CRYSTALS; 1. Introduction; 2. Molecular theory; 3. Examples; ACKNOWLEDGMENT; REFERENCES; Crystal Lattices and Sub-Lattices.; 1. Introduction.; 2. The vectors.; 3. Simple observations.; REFERENCES; On Nonessential Descriptions of Crystal Multilattices; 1. INTRODUCTION; 2. PRELIMINARIES; 3. SOME BACKGROUND; 4. REDUCIBLE n-LATTICES; 5. NONESSENTIAL DESCRIPTIONS; 6. SYMMETRY GROUPS; 7. GROUPS AS LIMITS; 8. REMARKS; NOTES; REFERENCES; On Groups Occurring in the Theory of Crystal Multi-Lattices; 1. Introduction. 2. Preliminaries3. The Group (v); 4. Characterizations; 5. Classifying Configurations; 6. 2-Lattice Examples; 7. 3-Lattice Examples; References; 2. Constitutive Theory; MULTI-VALUED STRAIN ENERGY FUNCTIONS FOR CRYSTALS; 1. INTRODUCTION; 2. THE PATTERN; 3. REMARKS; REFERENCES; THE CAUCHY AND BORN HYPOTHESES FOR CRYSTALS; 1. INTRODUCTION.; 2. THE HYPOTHESES.; 3. LATTICE-INVARIANT DEFORMATIONS.; 4. PRACTICE.; REFERENCES; CONSTITUTIVE THEORY FOR SOME CONSTRAINED ELASTIC CRYSTALS; 1. INTRODUCTION; 2. CONSTRAINTS; 3. KINEMATICAL CONSIDERATIONS; 4. COHERENT COEXISTENCE; 5. ENERGETICS. 6. EQUILIBRIUM EQUATIONSREFERENCES; 11 SOME CONSTRAINED ELASTIC CRYSTALS; 1 . INTRODUCTION; 2. CONSTRAINTS; 3. JUMP DISCONTINUITIES; 4. THE REMAINING CONSTRAINT; 5. PHASE INTERFACES; ACKNOWLEDGEMENT; REFERENCES; Equilibrium Theory for X-ray Observations of Crystals; 1. Introduction; 2. On Molecular Theory; 3. Constraints and B.R.; 4. Equilibrium Equations; 6. On Twinning; References; A Minimization Problem in the X-ray Theory; Summary; 1 Introduction; 2 Kinematics of n-lattices; 3 Constitutive equations; 4 Energy minimization; Acknowledgment:; References; Notes on the X-ray Theory. 1. Introduction2. Kinematics of n-lattices; 3. Constitutive Equations; 4. Reformulations; 5. Some Implications of Invariance; 6. Examples; 7. Reference Configurations; Acknowledgment; References; On Pitteri Neighborhoods Centered at Hexagonal Close-Packed Configurations; 1. Introduction; 2. X-ray theory; 3. Reformulation; 4. Hexagonal close-packed neighborhoods; 5. Structure of the neighborhoods; 6. Quadratic constitutive equations; 7. Appendix; References; 3. Defects; VOLTERRA DISLOCATIONS IN NONLINEARLY ELASTIC BODIES; 1. Introduction.; 2. Preliminaries.; 3. Local Conditions.; 4. Symmetry. Ericksen, J. L. (Jerald L.), 1924- http://id.loc.gov/authorities/names/n84028588 Ericksen, J. L. (Jerald L.), 1924- fast https://id.oclc.org/worldcat/entity/E39PBJvXk3k9pGXjcv3rbg48YP Crystallography, Mathematical. http://id.loc.gov/authorities/subjects/sh85034501 Cristallographie mathématique. SCIENCE Physics Crystallography. bisacsh Crystallography, Mathematical fast |
| subject_GND | http://id.loc.gov/authorities/names/n84028588 http://id.loc.gov/authorities/subjects/sh85034501 |
| title | Mechanics and mathematics of crystals : selected papers of J.L. Ericksen / |
| title_auth | Mechanics and mathematics of crystals : selected papers of J.L. Ericksen / |
| title_exact_search | Mechanics and mathematics of crystals : selected papers of J.L. Ericksen / |
| title_full | Mechanics and mathematics of crystals : selected papers of J.L. Ericksen / editors Millard F. Beatty, Michael A. Hayes. |
| title_fullStr | Mechanics and mathematics of crystals : selected papers of J.L. Ericksen / editors Millard F. Beatty, Michael A. Hayes. |
| title_full_unstemmed | Mechanics and mathematics of crystals : selected papers of J.L. Ericksen / editors Millard F. Beatty, Michael A. Hayes. |
| title_short | Mechanics and mathematics of crystals : |
| title_sort | mechanics and mathematics of crystals selected papers of j l ericksen |
| title_sub | selected papers of J.L. Ericksen / |
| topic | Ericksen, J. L. (Jerald L.), 1924- http://id.loc.gov/authorities/names/n84028588 Ericksen, J. L. (Jerald L.), 1924- fast https://id.oclc.org/worldcat/entity/E39PBJvXk3k9pGXjcv3rbg48YP Crystallography, Mathematical. http://id.loc.gov/authorities/subjects/sh85034501 Cristallographie mathématique. SCIENCE Physics Crystallography. bisacsh Crystallography, Mathematical fast |
| topic_facet | Ericksen, J. L. (Jerald L.), 1924- Crystallography, Mathematical. Cristallographie mathématique. SCIENCE Physics Crystallography. Crystallography, Mathematical |
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