Interaction of elastic waves with a periodic array of collinear inplane cracks

1992 ◽  
Vol 8 (4) ◽  
pp. 328-335 ◽  
Author(s):  
Zhang Chuanzeng ◽  
Chen Xinshuang ◽  
Li Zongrong
Keyword(s):  
Elastic Waves ◽  
Periodic Array

Elastic waves in arrays of elliptic inclusions

2005 ◽  
Vol 220 (9-10) ◽  
Author(s):  
Sebastien Guenneau ◽  
Alexander B. Movchan
Keyword(s):  
Cross Sections ◽  
Elastic Waves ◽  
Fused Silica ◽  
Periodic Array ◽  
Filling Fraction ◽  
Elliptical Cross ◽  
Macro Cell ◽  
Doubly Periodic Array ◽  
Elliptical Cylinders

AbstractWe consider in-plane elastic waves propagating through a doubly periodic array of cylinders of Tantalum (with both circular and elliptical cross-sections) which are embedded in a matrix of fused silica. We find some sonic gap for fairly small filling fractions of the cylinders which eventually vanish in the limit of high-filling fraction. In the case of a doubly periodic array of elliptical cylinders, removal of a cylinder within a macro-cell leads to two localised eigenstates.

Reflection and Transmission by a Periodic Array of Coplanar Cracks: Normal and Oblique Incidence

1993 ◽  
Vol 60 (4) ◽  
pp. 911-919 ◽  
Author(s):  
Yozo Mikata
Keyword(s):  
Elastic Waves ◽  
Oblique Incidence ◽  
Numerical Results ◽  
Periodic Array ◽  
Fourier Series Expansion ◽  
Periodic Case ◽  
Single Crack ◽  
Reflection And Transmission ◽  
Numerical Integrations ◽  
Coplanar Cracks

Scattering of in-plane elastic waves by a periodic array of coplanar cracks is investigated. This problem was first treated by Angel and Achenbach. The method of their solution was based on the Fourier series expansion of the Green-Lame potentials. In this paper, we have extended van der Hijden and Neerhoff’s treatment of scattering of in-plane elastic waves by a single crack to the periodic case. Major advantages of our treatment over Angel and Achenbach are: (1) the formulation is relatively simple, straightforward, and unified for both normal and oblique incidence, and (2) more importantly, there is no need for numerical integrations, because all the integrations involved in the formulation can be analytically evaluated thanks to the periodicity of the problem and the coplanarity of the cracks. Numerical results are presented and compared with those of Angel and Achenbach. Some new numerical results are also presented.

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