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Fundamental Solutions for a Class of Continuously Inhomogeneous, Isotropic, and Anisotropic Materials

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Book cover Seismic Wave Propagation in Non-Homogeneous Elastic Media by Boundary Elements

Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 240))

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Abstract

In this chapter, we focus on the derivation of time-harmonic fundamental solutions for the general case of anisotropic, inhomogeneous continua under in-plane and anti-plane conditions in closed form using the Radon transform . Of course, there are alternative methods such as algebraic transforms, Fourier transforms, and Hankel transforms, but the Radon transform is quite general and versatile.

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Authors and Affiliations

  1. Department of Civil Engineering, Aristotle University of Thessaloniki, Thessaloniki, Greece

    George D. Manolis

  2. Department of Solid Mechanics, Institute of Mechanics, Sofia, Bulgaria

    Petia S. Dineva

  3. Department of Differential Equations and Mathematical Physics, Institute of Mathematics and Informatics, Sofia, Bulgaria

    Tsviatko V. Rangelov

  4. Department of Geomechanics and Geotechnics, Kiel University, Kiel, Germany

    Frank Wuttke

Authors
  1. George D. Manolis
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  2. Petia S. Dineva
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  3. Tsviatko V. Rangelov
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  4. Frank Wuttke
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Corresponding author

Correspondence to George D. Manolis .

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Manolis, G.D., Dineva, P.S., Rangelov, T.V., Wuttke, F. (2017). Fundamental Solutions for a Class of Continuously Inhomogeneous, Isotropic, and Anisotropic Materials. In: Seismic Wave Propagation in Non-Homogeneous Elastic Media by Boundary Elements. Solid Mechanics and Its Applications, vol 240. Springer, Cham. https://doi.org/10.1007/978-3-319-45206-7_4

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  • DOI: https://doi.org/10.1007/978-3-319-45206-7_4

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-45205-0

  • Online ISBN: 978-3-319-45206-7

  • eBook Packages: EngineeringEngineering (R0)

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