Propagation of horizontally polarized transverse waves in a solid with a periodic distribution of cracks

DOI10.1016/0165-2125(86)90016-8zbMath0585.73032OpenAlexW2058312047MaRDI QIDQ1070867

B. George

Publication date: 1986

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0165-2125(86)90016-8

zbMATH Keywords

waveselastodynamicsGreen functionsystem of singular integral equationsfrequency spectrumtime-harmonic wavesperiodic mediumanti-plane shear wavedifferential equations with periodic coefficientsBloch's theory for partialcracks of equal widthexact dispersion equationparallel to the x-axisperiodic distribution of crackspolarized in the z-directionpropagates in the y-directiontheory of Floquet or Bloch wavestwo-dimensional configurationvanishing traction on the crack faceszeroth-order

Mathematics Subject Classification ID

Bulk waves in solid mechanics (74J10) Wave scattering in solid mechanics (74J20) Brittle damage (74R05)

Related Items (11)

On the oblique penetration of elastic waves into a finite number of equally spaced periodic arrays of obstacles ⋮ Interface wave-modes in comb transducers ⋮ On propagation of time-harmonic elastic waves through a double-periodic array of penny-shaped cracks ⋮ Wave propagation through scattering structures made by cascading screens of finite thickness ⋮ Effects of secondary diffractions on the stress intensity factors generated for a finite crack by a shear wave ⋮ Manipulation of the guided wave propagation in multilayered phononic plates by introducing interface delaminations ⋮ Transfer matrix approach of vibration isolation analysis of periodic composite structure ⋮ Homogenization of fissured elastic solids in the presence of unilateral conditions and friction ⋮ Harmonic waves in an elastic solid containing a doubly periodic array of cracks ⋮ On wave propagation in elastic solids with a doubly periodic array of cracks ⋮ In-plane problem for wave propagation through elastic solids with a periodic array of cracks.

Cites Work

• Unnamed Item
• Reflection and transmission of scalar waves by a periodic array of screens
• Multiple scattering of elastic waves by cylinders of arbitrary cross section. I. SH waves
• Partial Differential Equations with Periodic Coefficients and Bloch Waves in Crystals

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