Waves and Rays in Elastic Continua

Waves and Rays in Elastic Continua

Michael A Slawinski


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Seismology, as a branch of mathematical physics, is an active subject of both research and development. Its reliance on computational and technological advances continuously motivates the developments of its underlying theory. The fourth edition of Waves and Rays in Elastic Continua responds to these needs.The book is both a research reference and a textbook. Its careful and explanatory style, which includes numerous exercises with detailed solutions, makes it an excellent textbook for the senior undergraduate and graduate courses, as well as for an independent study. Used in its entirety, the book could serve as a sole textbook for a year-long course in quantitative seismology. Its parts, however, are designed to be used independently for shorter courses with different emphases. The book is not limited to quantitive seismology; it can serve as a textbook for courses in mathematical physics or applied mathematics.Contents:

  • Elastic Continua:
    • Deformations
    • Forces and Balance Principles
    • Stress-Strain Equations
    • Strain Energy
    • Material Symmetry
  • Waves and Rays:
    • Equations of Motion: Isotropic Homogeneous Continua
    • Equations of Motion: Anisotropic Inhomogeneous Continua
    • Hamilton's Ray Equations
    • Christoffel's Equations
    • Reflection and Transmission
    • Lagrange's Ray Equations
  • Variational Formulation of Rays:
    • Euler's Equations
    • Variational Principles
    • Ray Parameters
  • Appendices:
    • Euler's Homogeneous-Function Theorem
    • Legendre's Transformation
    • List of Symbols

Readership: Students and researchers in continuum mechanics and mathematical physics.Seismology;Waves;Rays;Elastic Continua;Mathematical Physics0Key Features:
  • The book is a carefully formulated document, whose clarity has been commented on by many readers and lecturers
  • The book contains many problems whose detailed solutions allow for a self study as well as a verification of understanding of the material
  • The book is a result of many research collaborations with distinguished scientists. This is apparent within the book itself and in a selectively chosen references for a further enquiry