P-wave interaction with a pair of rigid strips embedded in an orthotropic strip

• Autorzy: Basu S. , Mandal S. C.

Identyfikatory

DOI

10.15632/jtam-pl.54.2.579

• Języki publikacji: EN

Abstrakty

EN

The present paper is concerned with the problem of scattering of the P-wave by two co- -planer finite rigid strips placed symmetrically in an infinitely long orthotropic strip. Using the Hilbert transform technique, the mixed boundary value problem has been reduced to the solution of dual integral equations which has finally been reduced to the solution of a Fredholm integral equation of the second kind. Solving this integral equation numerically, stress intensity factors have been calculated at the inner and outer edges of the rigid strips, and the vertical displacement outside the strips has been calculated and plotted graphically to show the effect of material orthotropy.

Słowa kluczowe

EN

P-wave; Fourier transform; Hilbert transform; Fredholm integral equation; stress intensity factor

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2016
• Tom: Vol. 54 nr 2
• Strony: 579--592
• Opis fizyczny: Bibliogr. 25 poz., rys., tab.

Twórcy

autor

Basu S.

• Haldia Institute of Technology, Department of Applied Science, Haldia, India

autor

Mandal S. C.

• Jadavpur University, Department of Mathematics, Kolkata, India

Bibliografia

• 1. Chen E.P., 1978, Sudden appearance of a crack in a stretched finite strip, Journal of Applied Mechanics, 45, 2, 277-280
• 2. Cinar A., Erdogan F., 1983, The crack and wedging problem for an orthotropic strip, International Journal of Fracture, 19, 83-102
• 3. Das S., 2002, Interaction between line cracks in an orthotropic layer, International Journal Mathematics and Mathematical Sciences, 29, 2, 31-42
• 4. Das S., Chakraborty S., Srikanth N., Gupta M., 2008, Symmetric edge cracks in an orthotropic strip under normal loading, International Journal of Fracture, 153, 77-84
• 5. Das S., Patra B., Debnath L., 1998, Stress intensity factors for an interfacial crack between an orthotropic half-plane bonded to a dissimilar orthotropic layer with a punch, Computers and Mathematics with Applications, 35, 12, 27-40
• 6. Fox L., Goodwin E.T., 1953, The numerical solution of non-singular linear integral equations, Philosophical Transactions A, 245, 501-534
• 7. Itou S., 2012, Stress intensity factors for two parallel interface cracks between a nonhomogeneous bonding layer and two dissimilar orthotropic half-planes under tension, International Journal of Fracture, 175, 187-192
• 8. Li X.L., 2005, Two perfectly-bonded dissimilar orthotropic strips with an interfacial crack normal to the boundaries, Applied Mathematics and Computation, 163, 961-975
• 9. Mandal S.C., Ghosh M.L., 1992, Forced vertical vibration of two rigid strips on a semi-infinite elastic solid, Journal of Sound and Vibration, 158, 1, 169-179
• 10. Mandal S.C., Ghosh M.L., 1994, Interaction of elastic waves with a periodic array of coplanar Griffith crack in an orthotropic medium, International Journal of Engineering Science, 32, 1, 167-178
• 11. Mandal S.C., Pal S.C, Ghosh M.L., 1997, Forced vertical vibration of four rigid strips on semi-infinite elastic solid, International Journal of Solids and Structures, 34, 1017-1033
• 12. Mandal S.C., Pal S.C, Ghosh M.L., 1998, Diffraction of elastic waves by four coplanar rigid strips embedded in an infinite orthotropic medium, Journal of Engineering Mathematics, 33, 47-60
• 13. Monfared M.M., Ayatollahi M., 2013, Dynamic stress intensity factors of multiple cracks in an orthotropic strip with FGM coating, Engineering Fracture Mechanics, 109, 45-57
• 14. Morteza E.G., Ammar M., Azizollah A.B., 2010a, Rocking vibration of a rigid circular disc in a transversely isotropic full-space, International Journal for Numerical and Analytical Methods in Geomechanics (Wiley online Library)
• 15. Morteza E.G., Morteza F., Azizollah A.B., 2010b, Forced vertical vibration of rigid circular disc on a transversely isotropic half-space, Journal of Engineering Mechanics, 136, 913-922
• 16. Mukherjee S., Das S., 2007, Interaction of three interfacial Griffith cracks between bonded dissimilar orthotropic half planes, International Journal of Solids and Structures, 44, 5437-5446
• 17. Pramanick R.K., Pal S.C., Ghosh M.L., 1999, Shear wave interaction with a pair of rigid strips embedded in an infinitely long elastic strip, Journal of Technical Physics, 39, 31-44
• 18. Sarkar J., Ghosh M.L., Mandal S.C., 1995, Diffraction of elastic waves by two parallel rigid strips embedded in an infinite orthotropic medium, International Journal of Engineering Science, 33, 13, 1943-1958
• 19. Sarkar J., Mandal S.C., Ghosh M.L., 1995, Diffraction of elastic waves by three coplanar Griffith cracks in an orthotropic medium, International Journal of Engineering Science, 33, 2, 163-177
• 20. Sih G.C., 1977, Elastodynamic Crack Problems in Mechanics of Fracture, Noordhoff Leyden, 4
• 21. Sih G.C., Chen E.P., 1981, Cracks in Composite Materials, Martinus Nijhoff Publishers, 6
• 22. Singh B.M., Rokne J., Dhaliwal R.S., 1983, Diffraction of torsional wave by a circular rigid disc at the interface of two bonded dissimilar elastic solids, Acta Mechanica, 49, 139-146
• 23. Sinharoy S., 2013, Elastostatic problem of an infinite row of parallel cracks in an orthotropic medium under general loading, International Journal of Physics and Mathematical Sciences, 3, 1, 96-108
• 24. Wickham G.R., 1977, The forced two dimensional oscillations of a rigid strip in smooth contact with a semi-infinite elastic solid, Mathematical Proceedings of the Cambridge Philosophical Society, 81, 291-311
• 25. Wu D., Cai Y., Xu C., Zhan H., 2006, Torsional vibrations of rigid circular plate on transversely isotropic saturated soil, Applied Mathematics and Mechanics, 27, 1541-1548

Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniajacą naukę.