UID:
almahu_9949199329002882
Format:
VIII, 274 p.
,
online resource.
Edition:
1st ed. 1983.
ISBN:
9783642819605
Series Statement:
Springer Series in Solid-State Sciences, 44
Note:
1. Introduction -- 2. Medium of Simple Structure -- 2.1 Quasicontinuum -- 2.2 Equations of Motion -- 2.3 Elastic Energy Operator -- 2.4 Symmetric Stress Tensor and Energy Density -- 2.5 Homogeneous Media -- 2.6 Approximate Models -- 2.7 Cubic Lattice -- 2.8 Isotropic Homogeneous Medium -- 2.9 Debye Quasicontinuum -- 2.10 Boundary-Value Problems and Surface Waves -- 2.11 Notes -- 3. Medium of Complex Structure -- 3.1 Equations of Motion -- 3.2 Energy Operator -- 3.3 Approximate Models and Comparison with Couple-Stress Theories -- 3.4 Exclusion of Internal Degrees of Freedom in the Acoustic Region -- 3.5 Cosserat Model -- 3.6 Notes -- 4. Local Defects -- 4.1 General Scheme -- 4.2 Impurity Atom in a Lattice -- 4.3 Point Defects in a Quasicontinuum -- 4.4 System of Point Defects -- 4.5 Local Inhomogeneity in an Elastic Medium -- 4.6 Homogeneous Elastic Medium -- 4.7 The Interface of Two Media -- 4.8 Integral Equations for an Inhomogeneous Medium -- 4.9 Ellipsoidal Inhomogeneity -- 4.10 Ellipsoidal Crack and Needle -- 4.11 Crack in a Homogeneous Medium -- 4.12 Elliptic Crack -- 4.13 Interaction Between Ellipsoidal Inhomogeneities -- 4.14 Notes -- 5. Internal Stress and Point Defects -- 5.1 Internal Stress in the Nonlocal Theory -- 5.2 Geometry of a Medium with Sources of Internal Stress -- 5.3 Green's Tensors for Internal Stress -- 5.4 Isolated Point Defect -- 5.5 System of Point Defects -- 5.6 Notes -- 6. Dislocations -- 6.1 Elements of the Continuum Theory of Dislocations -- 6.2 Some Three-Dimensional Problems -- 6.3 Two-Dimensional Problems -- 6.4 Screw Dislocations -- 6.5 Influence of Change of the Force Constants in Cores of Screw Dislocations -- 6.6 Edge Dislocations -- 6.7 Notes -- 7. Elastic Medium with Random Fields of Inhomogeneities -- 7.1 Background -- 7.2 Formulation of the Problem -- 7.3 The Effective Field -- 7.4 Several Mean Values of Homogeneous Random Fields -- 7.5 General Scheme for Constructing First Statistical Moments of the Solution -- 7.6 Random Field of Ellipsoidal Inhomogeneities -- 7.7 Regular Structures -- 7.8 Fields of Elliptic Cracks -- 7.9 Two-Dimensional Systems of Rectilinear Cuts -- 7.10 Random Field of Point Defects -- 7.11 Correlation Functions in the Approximation by Point Defects -- 7.12 Conclusions -- 7.13 Notes -- Appendices -- A 1. Fourth-Order Tensors of Special Structure -- A 2. Green's Operators of Elasticity -- A 4. Calculation of Certain Conditional Means -- References.
In:
Springer Nature eBook
Additional Edition:
Printed edition: ISBN 9783642819629
Additional Edition:
Printed edition: ISBN 9783540120780
Additional Edition:
Printed edition: ISBN 9783642819612
Language:
English
DOI:
10.1007/978-3-642-81960-5
URL:
https://doi.org/10.1007/978-3-642-81960-5
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