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EBOOK
Title Mechanics and mathematics of crystals : selected papers of J.L. Ericksen / editors Millard F. Beatty, Michael A. Hayes.
Imprint Hackensack, NJ. : World Scientific, ©2005.

Subject Ericksen, J. L. (Jerald L.), 1924-
Crystallography, Mathematical.
Alt Name Beatty, Millard F.
Hayes, Michael A.
Ericksen, J. L. (Jerald L.), 1924-
Description 1 online resource (xxxi, 621 pages) : illustrations
Bibliography Note Includes bibliographical references.
Note Print version record.
Summary 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.
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.
ISBN 9812569413 (electronic bk.)
9789812569417 (electronic bk.)
9789812562838
9812562834
1281881066
9781281881069
9812562834
OCLC # 228138840
Additional Format Print version: Ericksen, J.L. (Jerald L.), 1924- Mechanics and mathematics of crystals. Hackensack, NJ : World Scientific, ©2005 9812562834 (DLC) 2005296557 (OCoLC)61152972



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