Interaction of elastic waves with a periodic array of coplanar griffith cracks in an orthotropic elastic medium

Mandal, S. C.; Ghosh, M.L.

doi:10.1016/0020-7225(94)90158-9

Cited by 27 publications

(10 citation statements)

References 7 publications

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“…Using the contour integration technique, discussed by Mandal and Ghosh [11] the kernel L 1 (u, t) can be transformed to integrals with finite limits given by…”

Section: Methods Of Solutionmentioning

confidence: 99%

P-wave Interaction by an Asymmetric Crack in an Orthotropic Strip

Basak

Mandal

2014

Int. J. Appl. Comput. Math

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Diffraction of p-wave by a Griffith crack at an asymmetric position in an infinite orthotropic strip is analyzed. Fourier and Abel transforms are used to reduce the problem to a system of dual integral equation. The system of dual integral equation is further reduced to a Fredholm integral equation of second kind and finally the integral equation is solved numerically. The Stress Intensity Factor has been calculated and illustrated graphically to show the effect of asymmetry of the position of the crack and material orthotropy.

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“…Using the contour integration technique, discussed by Mandal and Ghosh [11] the kernel L 1 (u, t) can be transformed to integrals with finite limits given by…”

Section: Methods Of Solutionmentioning

confidence: 99%

P-wave Interaction by an Asymmetric Crack in an Orthotropic Strip

Basak

Mandal

2014

Int. J. Appl. Comput. Math

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“…(30) has a slow rate of convergence. In order to make the numerical analysis easier, the semi-infinite integral has therefore been converted to finite integrals by using simple contour integration technique [16] and is given by…”

Section: Solutionmentioning

confidence: 99%

Diffraction of p-Waves by Edge Crack in an Infinite Orthotropic Strip

Nandi

Basak

Mandal

2015

Int. J. Appl. Comput. Math

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In this paper, the two dimensional interaction of p-waves with an edge crack in an infinite orthotropic strip has been studied. The mixed boundary value problem of determining the unknown stress distribution outside the crack has been converted to the determination of the solution of a Fredholm integral equation of second kind by Fourier transform. Stress intensity factor (SIF) at the tip of the crack has been calculated by solving integral equation numerically and plotted to show the effect of strip width on SIF. Finally normal stress at distant points from the crack has been calculated and plotted for various parameter to show the effect of material orthotropy.

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“…The diffraction of time-harmonic SH-waves by an oblique crack in an orthotropic half space has been considered by Lobanov and Novichkov [12], while the diffraction of time-harmonic longitudinal and transverse waves by a semi-infinite crack in a transversely isotropic material has been studied by Norris and Achenbach [13]. Studies for a periodic array of cracks in transversely isotropic solids have been presented by Zhang for incident SH-waves [14], and by Mandal et al for incident P-waves [15]. In all the work mentioned so far only two-dimensional crack problems are discussed, but a few examples with cracks in three-dimensional anisotropic solids have also been considered.…”

Section: Introductionmentioning

confidence: 97%

Elastodynamic analysis of a half plane crack in a transversely isotropic solid under 3-D transient loading

Zhao

Xie

2000

Acta Mechanica

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Summary.A three-dimensional analysis of a half plane crack in a transversely isotropic solid is performed. The crack is subjected to a pair of suddenly-applied normal line loadings on its faces. Transform methods are used to reduce the boundary value problem to a single integral equation that can be solved by the Wiener-Hopf technique. The Cagniard-de Hoop method is employed to invert the transforms. An exact expression is derived for the mode I stress intensity factor as a function of time and position along the crack edge. Numerical results are given.

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Interaction of elastic waves with a periodic array of coplanar griffith cracks in an orthotropic elastic medium

Cited by 27 publications

References 7 publications

P-wave Interaction by an Asymmetric Crack in an Orthotropic Strip

P-wave Interaction by an Asymmetric Crack in an Orthotropic Strip

Diffraction of p-Waves by Edge Crack in an Infinite Orthotropic Strip

Elastodynamic analysis of a half plane crack in a transversely isotropic solid under 3-D transient loading

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