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Initial supercritical behavior of buckled transversely isotropic elastic medium
Vestnik St. Petersburg University: Mathematics, 2011The paper is concerned with a transversely isotropic homogeneous elastic medium subjected to uniform compression in the isotropy plane. The medium becomes unstable in the sense of Hadamard [1] at a definite level of initial strain. The critical strain is established to be uniquely determinate from the system of equations of bifurcation of equilibrium ...
N. F. Morozov, P. E. Tovstik
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An asymmetric wave field in a transversely isotropic elastic medium
Journal of Mathematical Sciences, 2007Author's summary: We consider a transversely isotropic homogeneous elastic medium excited by a point force perpendicular to the anisotropy axis. The wave field in this medium is constructed and investigated. The fronts of SV and SH waves contact with one another at a point, and the fronts are investigated in vicinity of this point. If one considers the
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New Traveltime Approximations for a Layered Transversely Isotropic Medium
EAGE/SEG Summer Research Workshop - Processing and imaging of seismic data, 2003The basic idea of this paper is to derive approximate equations for vertical slowness for P and SV waves and PP, SS and PS traveltimes in TIV media not using a weak-anisotropy approximation.
A. Stovas, B. Ursin
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Generalized traveltime approximation for a homogeneous transversely isotropic medium
5th EAGE International Scientific and Practical Conference and Exhibition on Engineering and Mining Geophysics, 2009В работе обсуждается расчет параметеров для обобщенной аппроксимации времен пробега квази- продольных и квази-поперечных волн в однородной трансверсально изотропной среде с вертикальной осью симметрии (ВТИ среды). Для квази-продольных волн также рассматривается случай применения акустической аппроксимации.
A. M. Stovas, S. B. Fomel
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Axisymmetric wave propagation in a layered transversely isotropic medium
Archive of Applied Mechanics (Ingenieur Archiv), 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, K., Li, X., Liu, Y.
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Plane waves in a transversely isotropic rotating magnetothermoelastic medium
Journal of Engineering Physics and Thermophysics, 2012The governing equations for a transversely isotropic rotating magnetothermoelastic medium are solved, giving a cubic velocity equation, which is indicative of three plane waves. Some limiting cases are considered: in the absence of anisotropy, rotation, and thermal and magnetic effects.
Baljeet Singh, Anand Kumar Yadav
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Cylindrical Borehole Failure in a Transversely Isotropic Poroelastic Medium
Journal of Applied Mechanics, 2017Rocks underground often have pores and bedding planes, which are appropriate to be described by the transversely isotropic poroelastic constitutive model. Drilling boreholes in these rocks must be careful, since stresses and pore pressure would change with time, because of the inherent time dependent property of poroelasticity as well as pore fluid ...
Yue Gao +4 more
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Reflection of Waves in Visco-thermoelastic Transversely Isotropic Medium
International Journal for Computational Methods in Engineering Science and Mechanics, 2013The main objective of the present paper is to study the propagation of waves in the viscoelastic transversely isotropic medium in the context of thermoelasticity with GN theory of type II and III. With the help of boundary conditions on displacements, stresses, and temperature distribution, wave equations have been solved. Numerically simulated results
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The electromagnetic smoke ring in a transversely isotropic medium
GEOPHYSICS, 2002The electromagnetic smoke ring describes the spatial distribution characteristics of a diffusive electromagnetic field induced in a conductive medium. It provides an intuitive basis for qualitative interpretation of electromagnetic data in both the time and frequency domains. In this paper, I examine the smoke ring behavior in a transversely isotropic
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An alternative parameterisation for surface waves in a transverse isotropic medium
Physics of the Earth and Planetary Interiors, 2000The elastic properties of the Earth can only be retrieved by seismic waves when assumptions about the seismic anisotropy are made. One such an assumption is to assume that the Earth is transverse isotropic. In a transverse isotropic Earth Love waves are sensitive to two independent elastic parameters and Rayleigh waves to four parameters.
Muyzert, E., Snieder, R.
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