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Seismological Problem, Seismic Waves and the Seismic Mainshock

MATHEMATICS (2023)

An exact closed-form solution of three-dimensional transient Green's functions in a constrained transversely isotropic half-space

Mehdi Raoofian-Naeeni et al.

Summary: This paper presents an exact closed-form solution of three-dimensional transient Green's functions at the free surface of a constrained transversely isotropic half-space for an arbitrarily oriented surface point force of Heaviside time variation. The solution highlights the distinct features of body waves and Rayleigh surface wave in displacement components, showcasing the effects of material anisotropy. Additionally, the radial and angular displacements due to horizontal point force exhibit a special disturbance proportional to the inverse square of epicentral distance and varying linearly with time, a feature unique to transversely isotropic materials.

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE (2021)

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Article Engineering, Multidisciplinary

Transient Green's functions of a buried pulse in a constrained transversely isotropic half-space

Mehdi Raoofian-Naeeni et al.

Summary: This paper derives analytical forms of transient surface Green's functions excited by a general dynamic pulse buried in a constrained transversely isotropic half-space. The response functions for the constrained material are extracted using available solutions in Hankel-Laplace transformed domain, and the motion of different stress waves in the material is clearly illustrated. The study shows the relevance of this constrained TI material in engineering applications and its relation to the physics of TI materials.

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE (2021)

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Article Materials Science, Multidisciplinary