Linear and nonlinear scattering of elastic waves by microcracks

DOI10.1016/0022-5096(94)90053-1zbMath0817.73011OpenAlexW1991724663MaRDI QIDQ1332471

John R. Willis, Valery P. Smyshlyaev

Publication date: 1 August 1995

Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-5096(94)90053-1

zbMATH Keywords

graphsFourier seriesscattering cross-sectionpenny-shaped cracksfluid saturated cracksGreen's integral representationlow frequency asymptotes

Mathematics Subject Classification ID

Fracture and damage (74R99) Wave scattering in solid mechanics (74J20)

Related Items (6)

Frequency-dependent tensile and compressive effective moduli of elastic solids with distributed penny-shaped microcracks ⋮ The effects of crack face interaction on nonlinear wave propagation in microcracked media ⋮ The effects of friction between crack faces on nonlinear wave propagation in microcracked media ⋮ Analysis of a model of field crack mechanics for brittle materials ⋮ Effect of friction of the crack faces for a linear crack under an oblique harmonic loading ⋮ Effective relations for nonlinear dynamics of cracked solids.

Cites Work

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• A polarization approach to the scattering of elastic waves. I. Scattering by a single inclusion
• Attenuation of a plane compressional wave by a random distribution of thin circular cracks
• Self-consistent analysis of waves in a matrix-inclusion composite. III: A matrix containing cracks
• Overall moduli of solids with microcracks: load-induced anisotropy

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