Spatial dispersion of elastic waves in a bar characterized by tempered nonlocal elasticity

DOI10.1515/fca-2016-0026zbMath1381.74027arXiv1508.00638OpenAlexW1900019489MaRDI QIDQ281441

Sverre Holm, Sven Peter Näshol, Vikash Pandey

Publication date: 11 May 2016

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.00638

zbMATH Keywords

fractional calculusnonlocal elasticityacoustic wave equationsanomalous attenuationeringen modelfractional Zener modelspatial dispersiontempered fractional calculus

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Singular functions, Cantor functions, functions with other special properties (26A30) Fractional derivatives and integrals (26A33) Nonlinear constitutive equations for materials with memory (74D10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Related Items

Dispersion analysis for wave equations with fractional Laplacian loss operators, Higher-dimensional physical models with multimemory indices: analytic solution and convergence analysis

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