Title: Extended Mindlin solution for a point load in transversely isotropic halfspace with depth heterogeneity
Abstract: This paper extends the Mindlin solution to cover the elastic response of a point load in a transversely isotropic halfspace with a general depth heterogeneity. The transversely isotropic halfspace can have its five elastic material properties exhibiting arbitrary variations in depth and keeping constant in lateral directions. The depth variations of the five material properties are approximated with five n-layered step functions. The extended Mindlin solution is explicitly expressed in the forms of classical inverse Hankel transform integrals. The isolating technique is used to obtain the closed-form expression for the singular terms associated with the improper inverse Hankel transform integral. Singularities of the extended Mindlin solutions are examined analytically and exactly. Numerical results of boundary value problems in transversely isotropic halfspace with specific depth heterogeneities demonstrate that the computation of the extended Mindlin solution can be achieved with high accuracy and efficiency and the material heterogeneity and anisotropy can have significant effects on the elastic fields.
Publication Year: 2023
Publication Date: 2023-02-15
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 1
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