Dynamic displacement and stress solutions for viscoelastic half-spaces subjected to harmonic concentrated loads using the Radon and Fourier transforms

DOI10.1002/NAG.802zbMath1273.74287OpenAlexW2092035398MaRDI QIDQ2854695

Edson Rodrigues Carvalho, Marco Adolph, Edivaldo Romanini, Euclides Mesquita

Publication date: 24 October 2013

Published in: International Journal for Numerical and Analytical Methods in Geomechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nag.802

zbMATH Keywords

Fourier transformRadon transformGreen's functionsviscoelasticitydynamic displacements and stressesdynamic half-space solutions

Mathematics Subject Classification ID

Soil and rock mechanics (74L10) Linear constitutive equations for materials with memory (74D05)

Related Items (4)

Stationary dynamic displacement solutions for a rectangular load applied within a 3D viscoelastic isotropic full space. I: Formulation ⋮ General solutions of transversely isotropic multilayered media subjected to rectangular time-harmonic or moving loads ⋮ Stationary dynamic stress solutions for a rectangular load applied within a 3D viscoelastic isotropic full-space ⋮ A derivation of nonsingular displacement and stress fields within a 3D full-space through Radon transforms

Cites Work

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• Elastodynamic Green's functions for orthotropic plane strain continua with inclined axes of symmetry
• A method based on the Radon transform for three-dimensional elastodynamic problems of moving loads
• Three-dimensional Green's functions in anisotropic piezoelectric solids
• Numerically evaluated displacement and stress solutions for a 3D viscoelastic half space subjected to a vertical distributed surface stress loading using the Radon and Fourier transforms
• Dynamische Wechselwirkung eines Fundamentes mit dem viskoelastischen Halbraum
• Transient fundamental solutions for a transversely isotropic elastic half space
• Three-dimensional time-harmonic Green's functions for a triclinic full-space using a symbolic computation system
• Three-dimensional time-harmonic elastodynamic Green ^’ s functions for anisotropic solids

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