Crack in a lattice waveguide

DOI10.1007/s10704-009-9389-5zbMath1425.74444OpenAlexW2112898798MaRDI QIDQ989711

Slepyan, Leonid I., Gennady S. Mishuris, Alexander B. Movchan

Publication date: 23 August 2010

Published in: International Journal of Fracture (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10704-009-9389-5

zbMATH Keywords

integral transformsvibrationsdynamic fractureinhomogeneous materialsupersonic crack

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Vibrations in dynamical problems in solid mechanics (74H45) Fracture and damage (74R99)

Related Items (13)

Forerunning and Bridging in Dry and Saturated Fracturing Solids ⋮ Forerunning mode transition in a continuous waveguide ⋮ Trapping of a crack advancing through an elastic lattice ⋮ On the ultimate strength of heterogeneous slender structures based on multi-scale stress decomposition ⋮ Lamb waves in discrete homogeneous and heterogeneous systems: dispersion properties, asymptotics and non-symmetric wave propagation ⋮ Growth of a semi-infinite inclusion in an elastic wave metamaterial with local resonators ⋮ Dynamic crack growth under Rayleigh wave ⋮ Wave polarization and dynamic degeneracy in a chiral elastic lattice ⋮ Dynamic phenomena and crack propagation in dissimilar elastic lattices ⋮ Analysis of dynamic failure of the discrete chain structure with non‐local interactions ⋮ Dynamic fracture of a dissimilar chain ⋮ Flexural vibration systems with gyroscopic spinners ⋮ One-way interfacial waves in a flexural plate with chiral double resonators

Cites Work

• Localised knife waves in a structured interface
• Origin of crack tip instabilities
• Asymptotic solutions for crack closure in an elastic plate under combined extension and bending
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