Dispersion of Love waves is studied in a fibre-reinforced layer resting on monoclinic half-space. The wave velocity equation has been obtained for a fiber-reinforced layer resting on monoclinic half space. Shear wave velocity ratio curve for Love waves has been shown graphically for fibre reinforced material layer resting on various monoclinic half-spaces. In a similar way, shear wave velocity ratio curve for Love waves has been plotted for an isotropic layer resting on various monoclinic half-spaces. From these curves, it has been observed that the curves are of similar type for a fibre reinforced layer resting on monoclinic half-spaces, and the shear wave velocity ratio ranges from 1.14 to 7.19, whereas for the case isotropic layer, this range varies from 1.0 to 2.19.

Fiber-reinforced composite materials have become very attractive in many engineering applications recently due to their superiority over the structural materials in applications requiring high strength and stiffness in light-weight material. Consequently, the characterization of their mechanical behavior is an utmost requirement. The monoclinic system is the largest symmetry system with almost a third of all minerals belonging to one of its classes. This system contains two nonequal axes (

The constitutive equations for fibre-reinforced linearly elastic medium whose referred direction is that of

In this problem, we consider a fiber-reinforced of anisotropic layer

For wave propagating in the

For wave changing harmonically

The boundary conditions in the plane

The range of shear wave velocity ratio

Here we have considered three sets of arrangements; in all these, top layer is isotropic-I, and lower half-spaces are (i) isotropic-II with different material constants from isotropic-I, (ii) lower half-space is monoclinic, and (iii) lower half-space is monoclinic II, respectively. The material constants are

Ranges of shear wave velocity ratio and ranges of

Isotropic layer resting on half-space | Range of shear wave velocity ratio | Range of |
---|---|---|

Isotropic | 1.0–1.85 | Large value–0.00058 |

Monoclinic | 1.0–2.1922 | Large value–0.013 |

Monoclinic II | 1.0–2.1949 | Large value–0.06071 |

Shear wave velocity ratio

In this case, we have plotted three dispersion curves as in Case

From the results it has been observed that shear wave velocity ratio for Love waves at fibre-reinforced layer is very much higher than at isotropic layer.

Ranges of shear wave velocity ratio and

Reinforced layer resting on half-space | Range of shear wave velocity ratio | Range of |
---|---|---|

Isotropic | 1.14–6.15 | Large value–0.0028 |

Monoclinic | 1.14–7.16 | Large value–0.0125 |

Monoclinic II | 1.14–7.19 | Large value–0.0110 |

Shear wave velocity ratio curve

From the curves plotted and results tabulated, it has been clearly observed that the shear wave velocity ratio for a fiber-reinforced layer resting on any layer whether it is isotropic or monoclinic is always much higher than on the isotropic layer resting on similar half-spaces. For the case of fiber-reinforced layer, shear wave velocity ratio ranges from 1.14 to 6.15, 1.14 to 7.16, and 1.14 to 7.19, for isotropic half-spaces, monoclinic and monoclinic-II half-spaces, respectively. In the contrary for the case of an isotropic layer, the shear wave velocity ratio ranges from 1.0 to 1.85, 1.0 to 2.19, and 1.0 to 2.19 for the case isotropic, monoclinic, and monoclinic-II half-spaces, respectively.

S. Saha is very much thankful to Director CRRI, for his permission to publish this paper. S. Saha is also very much thankful to the reviewer for valuable comments to modify this paper.