Direct boundary integral procedure for a Boltzmann viscoelastic plane with circular holes and elastic inclusions

Y. Huang, S. L. Crouch, S. G. Mogilevskaya

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7 Scopus citations

Abstract

A direct boundary integral method in the time domain is presented to solve the problem of an infinite, isotropic Boltzmann viscoelastic plane containing a large number of randomly distributed, non-overlapping circular holes and perfectly bonded elastic inclusions. The holes and inclusions are of arbitrary size and the elastic properties of all of the inclusions can, in general, be different. The method is based on a direct boundary integral approach for the problem of an infinite elastic plane containing multiple circular holes and elastic inclusions described by Crouch and Mogilevskaya [1], and a time marching strategy for viscoelastic analysis described by Mesquita and Coda [2-8]. Benchmark problems and numerical examples are included to demonstrate the accuracy and efficiency of the method.

Original languageEnglish (US)
Pages (from-to)110-118
Number of pages9
JournalComputational Mechanics
Volume37
Issue number1
DOIs
StatePublished - Dec 2005

Keywords

  • Boltzmann model
  • Circular holes and inclusions
  • Direct boundary integral method
  • Fourier series
  • Viscoelasticity

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