AN IMPROVEMENT TO THE FOURIER SERIES METHOD FOR INVERSION OF LAPLACE TRANSFORMS APPLIED TO ELASTIC AND VISCOELASTIC WAVES

DOI10.1142/S0219876206000849zbMath1198.74119MaRDI QIDQ3055991

Richard R. Laverty, George A. Gazonas

Publication date: 10 November 2010

Published in: International Journal of Computational Methods (Search for Journal in Brave)

zbMATH Keywords

wavesinverse Laplace transformviscoelasticityGibbs phenomenon

Mathematics Subject Classification ID

Linear constitutive equations for materials with memory (74D05) Linear waves in solid mechanics (74J05)

Related Items (3)

Longitudinal impact of piezoelectric media ⋮ Transient stress wave propagation in one-dimensional micropolar bodies ⋮ INVERSE SQUARE ROOT MOMENT SINGULARITIES IN RECTANGULAR PLATES CONTAINING AN INTERNAL LINE SUPPORT

Cites Work

• Transient SIF results for a cracked viscoelastic strip under concentrated impact loading -- An integral-transform/function-theoretic approach
• A problem of numerical inversion of implicitly defined Laplace transforms
• Numerical implementation of the integral-transform solution to Lamb's point-load problem
• Numerical Inversion of Laplace Transforms Using a Fourier Series Approximation
• On the Gibbs Phenomenon and Its Resolution
• Numerical Inversion of Laplace Transforms: An Efficient Improvement to Dubner and Abate's Method
• Numerical Inversion of Laplace Transforms of Probability Distributions
• Numerical Inversion of Laplace Transforms by Relating Them to the Finite Fourier Cosine Transform

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