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

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Description 1 online resource (xxxi, 621 pages) : illustrations
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
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
Bibliography Includes bibliographical references
Notes English
Print version record
Subject Ericksen, J. L. (Jerald L.), 1924-
SUBJECT Ericksen, J. L. (Jerald L.), 1924- fast
Subject Crystallography, Mathematical.
SCIENCE -- Physics -- Crystallography.
Crystallography, Mathematical
Form Electronic book
Author Beatty, Millard F
Hayes, Michael A
Ericksen, J. L. (Jerald L.), 1924-
ISBN 9812569413
9789812569417
9789812562838
9812562834
1281881066
9781281881069
9786611881061
6611881069