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On evaluation of the green functions for harmonic line loads in a viscoelastic half space
Author(s) -
Dravinski Marijan,
Mossessian Tomi K.
Publication year - 1988
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620260406
Subject(s) - quadrature (astronomy) , wavenumber , viscoelasticity , mathematics , numerical integration , mathematical analysis , harmonic , half space , nyström method , space (punctuation) , integral equation , physics , computer science , acoustics , optics , thermodynamics , operating system
Abstract Comparison of different quadratures for evaluation of the improper wavenumber integrals which arise in evaluation of the Green functions for a viscoelastic half space and harmonic line loadings is investigated. The model is assumed to be of the plane strain type. Extensive testing of the numerical accuracy for various quadratures is performed. A measure of numerical efficiency of the quadratures is proposed and compared for different integration formulae. It was determined that among the procedures tested the Clenshaw‐Curtis quadrature offers the most efficient way of evaluating the wavenumber integrals numerically.