Impact of Inhomogeneity on SH-type Wave Propagation in an Initially Stressed Composite Structure

• Autorzy: Saha S. , Chattopadhyay A. , Singh A. K.

Identyfikatory

DOI

10.1007/s11600-017-0108-8

• Języki publikacji: EN

Abstrakty

EN

The present analysis has been made on the influence of distinct form of inhomogeneity in a composite structure comprised of double superficial layers lying over a half-space, on the phase velocity of SH-type wave propagating through it. Propagation of SH-type wave in the said structure has been examined in four distinct cases of inhomogeneity viz. when inhomogeneity in double superficial layer is due to exponential variation in density only (Case I); when inhomogeneity in double superficial layers is due to exponential variation in rigidity only (Case II); when inhomogeneity in double superficial layer is due to exponential variation in rigidity, density and initial stress (Case III) and when inhomogeneity in double superficial layer is due to linear variation in rigidity, density and initial stress (Case IV). Closed-form expression of dispersion relation has been accomplished for all four aforementioned cases through extensive application of Debye asymptotic analysis. Deduced dispersion relations for all the cases are found in well-agreement to the classical Love-wave equation. Numerical computation has been carried out to graphically demonstrate the effect of inhomogeneity parameters, initial stress parameters as well as width ratio associated with double superficial layers in the composite structure for each of the four aforesaid cases on dispersion curve. Meticulous examination of distinct cases of inhomogeneity and initial stress in context of considered problem has been carried out with detailed analysis in a comparative approach.

Słowa kluczowe

EN

initial stress; inhomogeneity; SH-type waves; Debye asymptotic approach; composite layered sturcture

PL

naprężenia pierwotne; niejednorodność; fale typu SH

• Wydawca: Instytut Geofizyki PAN ; Springer
• Czasopismo: Acta Geophysica
• Rocznik: 2018
• Tom: Vol. 66, no. 1
• Strony: 1--19
• Opis fizyczny: Bibliogr. 30 poz.

Twórcy

autor

Saha S.

• Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines), Dhanbad, India

autor

Chattopadhyay A.

• Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines), Dhanbad, India

autor

Singh A. K.

• Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines), Dhanbad, India

Bibliografia

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Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018)