Shear Wave Propagation in Multilayered Medium including an Irregular Fluid Saturated Porous Stratum with Rigid Boundary
The present investigation is concerned with the study of propagation of shear waves in an anisotropic fluid saturated porous layer over a semi-infinite homogeneous elastic half-space lying under an elastic homogeneous layer with irregularity present at the interface with rigid boundary. The rectangu...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2014/163505 |
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| author | Ravinder Kumar Dinesh Kumar Madan Jitander Singh Sikka |
| author_facet | Ravinder Kumar Dinesh Kumar Madan Jitander Singh Sikka |
| author_sort | Ravinder Kumar |
| collection | DOAJ |
| description | The present investigation is concerned with the study of propagation of shear waves in an anisotropic fluid saturated porous layer over a semi-infinite homogeneous elastic half-space lying under an elastic homogeneous layer with irregularity present at the interface with rigid boundary. The rectangular irregularity has been taken in the half-space. The dispersion equation for shear waves is derived by using the perturbation technique followed by Fourier transformation. Numerically, the effect of irregularity present is analysed. It is seen that the phase velocity is significantly influenced by the wave number and the depth of the irregularity. The variations of dimensionless phase velocity against dimensionless wave number are shown graphically for the different size of rectangular irregularities with the help of MATLAB. |
| format | Article |
| id | doaj-art-518e24b75b7644f7a924454155f2f52d |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-518e24b75b7644f7a924454155f2f52d2025-02-03T06:46:03ZengWileyAdvances in Mathematical Physics1687-91201687-91392014-01-01201410.1155/2014/163505163505Shear Wave Propagation in Multilayered Medium including an Irregular Fluid Saturated Porous Stratum with Rigid BoundaryRavinder Kumar0Dinesh Kumar Madan1Jitander Singh Sikka2Department of Mathematics, Maharshi Dayanand University, Rohtak, Haryana 124 001, IndiaDepartment of Mathematics, TIT&S, Bhiwani, Haryana 127 021, IndiaDepartment of Mathematics, Maharshi Dayanand University, Rohtak, Haryana 124 001, IndiaThe present investigation is concerned with the study of propagation of shear waves in an anisotropic fluid saturated porous layer over a semi-infinite homogeneous elastic half-space lying under an elastic homogeneous layer with irregularity present at the interface with rigid boundary. The rectangular irregularity has been taken in the half-space. The dispersion equation for shear waves is derived by using the perturbation technique followed by Fourier transformation. Numerically, the effect of irregularity present is analysed. It is seen that the phase velocity is significantly influenced by the wave number and the depth of the irregularity. The variations of dimensionless phase velocity against dimensionless wave number are shown graphically for the different size of rectangular irregularities with the help of MATLAB.http://dx.doi.org/10.1155/2014/163505 |
| spellingShingle | Ravinder Kumar Dinesh Kumar Madan Jitander Singh Sikka Shear Wave Propagation in Multilayered Medium including an Irregular Fluid Saturated Porous Stratum with Rigid Boundary Advances in Mathematical Physics |
| title | Shear Wave Propagation in Multilayered Medium including an Irregular Fluid Saturated Porous Stratum with Rigid Boundary |
| title_full | Shear Wave Propagation in Multilayered Medium including an Irregular Fluid Saturated Porous Stratum with Rigid Boundary |
| title_fullStr | Shear Wave Propagation in Multilayered Medium including an Irregular Fluid Saturated Porous Stratum with Rigid Boundary |
| title_full_unstemmed | Shear Wave Propagation in Multilayered Medium including an Irregular Fluid Saturated Porous Stratum with Rigid Boundary |
| title_short | Shear Wave Propagation in Multilayered Medium including an Irregular Fluid Saturated Porous Stratum with Rigid Boundary |
| title_sort | shear wave propagation in multilayered medium including an irregular fluid saturated porous stratum with rigid boundary |
| url | http://dx.doi.org/10.1155/2014/163505 |
| work_keys_str_mv | AT ravinderkumar shearwavepropagationinmultilayeredmediumincludinganirregularfluidsaturatedporousstratumwithrigidboundary AT dineshkumarmadan shearwavepropagationinmultilayeredmediumincludinganirregularfluidsaturatedporousstratumwithrigidboundary AT jitandersinghsikka shearwavepropagationinmultilayeredmediumincludinganirregularfluidsaturatedporousstratumwithrigidboundary |