Theory of Elastic Waves in Crystals

1. Front Matter

   Pages i-xiii

   PDF

2. General Equations of the Theory of Elasticity

   • Fedor I. Fedorov

   Pages 1-33

3. Elements of Linear Algebra and Direct Tensor Calculus

   • Fedor I. Fedorov

   Pages 35-83

4. General Laws of Propagation of Elastic Waves in Crystals

   • Fedor I. Fedorov

   Pages 85-117

5. Energy Flux and Wave Surfaces

   • Fedor I. Fedorov

   Pages 119-167

6. General Theory of Elastic Waves in Crystals Based on Comparison with an Isotropic Medium

   • Fedor I. Fedorov

   Pages 169-209

7. Elastic Waves in Transversely Isotropic Media

   • Fedor I. Fedorov

   Pages 211-243

8. Elastic Waves in Crystals of the Higher Systems

   • Fedor I. Fedorov

   Pages 245-282

9. Reflection and Refraction of Elastic Waves

   • Fedor I. Fedorov

   Pages 283-331

10. Elastic Waves and the Thermal Capacity of a Crystal

    • Fedor I. Fedorov

    Pages 333-367

11. Back Matter

    Pages 369-375

    PDF

The translation into English of Academician Fedorov's ex­ cellent treatise on elastic wave propagation in solids has come at an opportune time. His systematic exposition of all aspects of this field is most lucid and straightforward. The author has gone to considerable pains to develop in his mathematical background a consistent tensor framework which acts as a unifying motif through­ out the various aspects of the subject. In many respects his approach will appear quite novel as his treatment introduces several concepts and parameters previously unfamiliar to the literature of the West. Extensive tables in the final chapters illustrate the application of these ideas to the exist­ ing body of experimental data. The book is both extensive and comprehensive in al1 phases of the subject. Workers in the fields of ultrasonic propagation and elastic properties will find this treatise of great interest and direct concern. H. B. Huntington Rensselaer Polytechnic Institute Troy, New York November 1967 v Preface to the American Edition In preparing this edition I have corrected various misprints and errors appearing in the Russian edition, but I have also incorpo­ rated some substantial changes and additions, the latter representing some results I and my colleagues have recently obtained and pub_ lished in Russian journals. For example, in section 32 I have added a general derivation of the equation for the seetion of the wave surface by a symmetry plane for cubic, hexagonal, tetragonal, and orthorhombic crystals.

• Hunting
• crystal
• elasticity
• experiment
• fields
• phase
• symmetry
• translation
• ultrasound
• wave
• wave propagation

• Laboratory of Theoretical Physics, Physics Institute of the Academy of Sciences of the Belorussian SSR, Belarus

  Fedor I. Fedorov

• Department of Theoretical Physics, Belorussian State University, Minsk, Belarus

  Fedor I. Fedorov

Policies and ethics