Theory of Elastic Waves in Crystals
Autor Fedor I. Fedoroven Limba Engleză Paperback – 12 sep 2012
Preț: 385.81 lei
Nou
Puncte Express: 579
Preț estimativ în valută:
73.84€ • 76.70$ • 61.33£
73.84€ • 76.70$ • 61.33£
Carte tipărită la comandă
Livrare economică 03-17 februarie 25
Preluare comenzi: 021 569.72.76
Specificații
ISBN-13: 9781475712773
ISBN-10: 1475712774
Pagini: 392
Ilustrații: XIII, 375 p. 14 illus.
Dimensiuni: 155 x 235 x 21 mm
Greutate: 0.55 kg
Ediția:Softcover reprint of the original 1st ed. 1968
Editura: Springer Us
Colecția Springer
Locul publicării:New York, NY, United States
ISBN-10: 1475712774
Pagini: 392
Ilustrații: XIII, 375 p. 14 illus.
Dimensiuni: 155 x 235 x 21 mm
Greutate: 0.55 kg
Ediția:Softcover reprint of the original 1st ed. 1968
Editura: Springer Us
Colecția Springer
Locul publicării:New York, NY, United States
Public țintă
ResearchCuprins
1. General Equation s of the Theory of Elasticity.- 1. Deformation tensor.- 2. Stress tensor.- 3. Equilibrium conditions and the equation of an elastic medium.- 4. Hooke’s law.- 5. Energy of a deformed elastic body.- 6. Tensor for the elastic moduli.- 7. Crystal symmetry.- 8. Elastic moduli of crystals of the lower systems.- 9. Elastic moduli of crystals of the higher systems.- 2. Elements of Linear Algebra and Direct Tensor Calculus.- 10. Vectors and matrices in n-dimensional space..- 11. Three-dimensional tensors and dyads.- 12. The Levi-Civita tensor and its applications.- 13. Eigenvalues and eigenvectors of a second-rank tensor.- 14. Tensor relations in a plane.- 3. General Laws of Propagation of Elastic Waves in Crystals.- 15. Plane waves and Christoffel’s equation.- 16. General properties of the A tensor and forms of plane elastic waves in crystals.- 17. Special directions for elastic waves in crystals.- 18. Longitudinal normals and acoustic axes.- 19. Form of the ? tensor for various crystal systems.- 20. Convoluted tensor for the elastic moduli.- 4. Energy Flux and Wave Surfaces.- 21. The energy-flux vector and the ray velocity.- 22. Energy vector with acoustic axes.- 23. Elliptical polarization in elastic waves and the instantaneous energy-flux vector.- 24. Wave surfaces.- 25. Sections of the wave surfaces by symmetry planes.- 5. General Theory of Elastic Waves in Crystals Based on Comparison with an Isotropic Medium.- 26. Mean elastic anisotropy of a crystal.- 27. Comparison with an isotropic medium.- 28. Special directions.- 29. Approximate theory of quasilongitudinal waves.- 30. Another form of the approximate theory.- 6. Elastic Waves in Transversely Isotropic Media.- 31. Covariant form of the ? tensor.- 32. Phase velocities and displacements.- 33.Comparison of a hexagonal crystal with an isotropic medium.- 34. Mean transverse anisotropy.- 35. Comparison with a transversely isotropic medium.- 7. Elastic Waves in Crystals of the Higher Systems.- 36. Cubic crystals.- 37. Approximate theory for cubic crystals.- 38. Tetragonal crystals.- 39. Comparison with a hexagonal crystal.- 40. Trigonal crystals.- 8. Reflection and Refraction of Elastic Waves.- 41. Boundary conditions for plane elastic waves.- 42. Reflection of elastic waves at the free boundary of an isotropic medium.- 43. Reflection at the free boundary of a crystal.- 44. The complex refraction vector and inhomogeneous plane waves.- 45. Invariant characteristics of the polarization of plane waves.- 46. Inhomogeneous waves at a free boundary.- 9. Elastic Waves and the Thermal Capacity of a Crystal.- 47. Statistical theory of the thermal capacity of a solid.- 48. Computation of the Debye temperature.- 49. Averaging of the products of components of unit vector.- 50. Debye temperatures of cubic crystals.- 51. Debye temperatures of hexagonal crystals.- Literature Cited.