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  3. Fundamental Solutions in Elastodynamics
  • Cited by 138
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    • Publisher:
      Cambridge University Press
      Publication date:
      12 January 2010
      13 February 2006
      ISBN:
      9780511546112
      9780521855709
      9780521375993
      DOI:
      https://doi.org/10.1017/CBO9780511546112
      Dimensions:
      (253 x 177 mm)
      Weight & Pages:
      0.64kg, 262 Pages
      Dimensions:
      (254 x 178 mm)
      Weight & Pages:
      0.46kg, 262 Pages
      • Subjects:
      Engineering, Aerospace Engineering, Civil and Geotechnical Engineering
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    Subjects:
    Engineering, Aerospace Engineering, Civil and Geotechnical Engineering
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    Book description

    This work is a compilation of fundamental solutions (or Green's functions) for classical or canonical problems in elastodynamics presented with a common format and notation. These formulas describe the displacements and stresses elicited by dynamic sources in solid elastic media like full spaces, half-spaces, strata and plates in both two and three dimensions, using the three major coordinate systems (Cartesian, cylindrical and spherical), and also for transient and harmonic motions. Such formulas are useful for numerical methods and practical application to problems of wave propagation in elasticity, soil dynamics, earthquake engineering, mechanical vibration, or geophysics. These formulas were heretofore only found scattered throughout the literature. The solutions are tabulated without proof, but giving reference to appropriate modern papers and books containing full derivations. Most formulas in the book have been programmed and tested within the MATLAB environment. The program listings are available for free download on the book's website.

    Reviews

    ‘[This book] presents a concise treatment of fundamental solutions of a variety of problems arising in elastodynamics … It should be useful to students and researchers in applied mathematics, geophysics, engineering and other applied sciences.’

    Fiazud Din Zaman Source: Zentralblatt MATH

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