Direct boundary integral procedure for a Boltzmann viscoelastic plane with circular holes and elastic inclusions |
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Authors: | Y Huang S L Crouch S G Mogilevskaya |
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Affiliation: | (1) Department of Civil Engineering, University of Minnesota, Minneapolis, MN 55455, USA |
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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. |
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Keywords: | Viscoelasticity Boltzmann model Direct boundary integral method Fourier series Circular holes and inclusions |
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