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Lamb Waves in a Perpendicularly Cracked, Poroelastic Plate

Department of Mathematical Sciences, University of Delaware Newark DE 19716, USA

E-mail Address: gilbert@udel.edu

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Fachbereich Bauingenier

Ruhr University Bochum, Germany

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, and

Doo-Sung Lee

Department of Mathematics College of Education, Konkuk University 1 Hwayang-Dong, Kwangjin-Gu, Seoul, Korea

Corresponding author.

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https://doi.org/10.1142/S0218396X17500321Cited by:2 (Source: Crossref)

Abstract

In this paper, we continue our work on the propagation of Lamb waves in a poroelastic infinite strip containing a linear crack. In the previous work, the crack was placed horizontal to the upper and lower surfaces and moreover, there was zero pressure on the upper and lower surfaces, a physically impossible situation. In the present paper, the crack is situated perpendicular to the side and situated at the origin. A step stress is applied to the crack surface resulting in transient behavior. By using the Fourier transform and Laplace transform methods, we arrive at dual integral equations. From this formulation, we subsequently obtain, by reduction, a Fredholm integral equation of the second kind. This equation is solved numerically, and the dynamic stress intensity factor is shown graphically.

An erratum has already been printed last year and appeared in Vol. 25, No. 3, September 2017. The erratum appears again behind this article.

Keywords:

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