Interaction of antiplane cracks with elastic waves in transversely isotropic materials
type: Item
instance of: scholarly article
title: Interaction of antiplane cracks with elastic waves in transversely isotropic materials
zbMATH Open document ID: 0789.73025
DOI: 10.1007/BF01175608
author: V. Pereyra
published in: Acta Mechanica
publication date: 1994-01-13T00:00:00Z
review text: The authors present the interaction of plane time-harmonic SH-waves with a micro-crack of finite length in transversely isotropic materials. From the interaction of an incident wave with the crack are induced scattering waves. The scattered displacements are expressed as a Fourier integral containing the crack opening displacement as a fundamental unknown quantity. Expanding the crack opening displacement into a series of Chebyshev polynomials and adopting a Galerkin method, the boundary integral equation is converted into an infinite system of linear algebraic equations. Numerical results are presented for the elastodynamic stress intensity factors, the scattered far-field, and the scattering cross-section of a single crack.
Mathematics Subject Classification ID: 74J10
Mathematics Subject Classification ID: 74R99
zbMATH DE Number: 482325
zbMATH Keywords: harmonic SH-waves
zbMATH Keywords: Fourier integral
zbMATH Keywords: series of Chebyshev polynomials
zbMATH Keywords: Galerkin method
zbMATH Keywords: boundary integral equation
zbMATH Keywords: infinite system of linear algebraic equations
zbMATH Keywords: stress intensity factors
zbMATH Keywords: scattered far-field
reviewed by: Vasile Marinca
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01175608
OpenAlex ID: W2030496266
description: scientific article; zbMATH DE number 482325