Abstract
THE PROBLEMS CONCERNS TO THE PROPAGATION OF SURFACE WAVE PROPA-GATION THROUGH VARIOUS ANISOTROPIC MEDIUMS WITH INITIAL STRESS AND IRREGULAR BOUNDARIES ARE OF GREAT INTEREST TO SEISMOLOGISTS, DUE TO THEIR APPLICATIONS TOWARDS THE STABILITY OF THE MEDIUM. THE PRESENT PAPER DEALS WITH THE PROPAGATION OF RAYLEIGH-TYPE WAVE IN A CORRU-GATED FIBRE-REINFORCED LAYER LYING OVER AN INITIALLY STRESSED ORTHO-TROPIC HALF-SPACE UNDER GRAVITY. THE UPPER FREE SURFACE IS ASSUMED TO BE CORRUGATED; WHILE THE INTERFACE OF THE LAYER AND HALF-SPACE IS CORRUGATED AS WELL AS LOOSELY BONDED. THE FREQUENCY EQUATION IS DEDUCED IN CLOSED FORM. NUMERICAL COMPUTATION HAS BEEN CARRIED OUT WHICH AIDS TO PLOT THE DIMENSIONLESS PHASE VELOCITY AGAINST DIMENSIONLESS WAVE NUMBER FOR SAKE OF GRAPHICAL DEMONSTRATION. NUMERICAL RESULTS ANALYZE THE INFLUENCE OF CORRUGATION, LOOSE BOND-ING, INITIAL STRESS AND GRAVITY ON THE PHASE VELOCITY OF RAYLEIGH-TYPE WAVE. MOREOVER, THE PRESENCE AND ABSENCE OF CORRUGATION, LOOSE BONDING AND INITIAL STRESS IS ALSO DISCUSSED IN COMPARATIVE MANNER.
Highlights
The study of corrugated boundary surfaces and loosely bonded interfaces of material mediums is important to understand the behavior of wave propagation
The current study investigates the propagation of Rayleigh‐type wave in a fibre‐reinforced layer overlying an in‐ itially stressed orthotropic half‐space under gravity
5 NUMERICAL RESULTS AND DISCUSSION The numerical values which have been taken into consideration with a view to perform numerical computation of phase velocity of Rayleigh‐type wave propagating in a corrugated fibre‐reinforced layer lying over an initially stressed orthotropic half‐space under gravity, with loosely bonded common interface, are as follows: For fibre‐reinforced layer Markham, 1970
Summary
The problems of elastodynamics are not limited to the mechanics of those elastic materials which are isotropic, rather the problems take a more general and realistic form when the media considered are anisotropic. Presence of fibre‐reinforced materials in earth’s crust, in the form of hard or soft rocks may affect the wave propagation These composite materials adopt self‐reinforced behavior under certain temperature and pressure. The study of corrugated boundary surfaces and loosely bonded interfaces of material mediums is important to understand the behavior of wave propagation. Starting with Tomar and Kaur 2007 , Singh 2011, 2014 , Singh and Kumar 1998 , Khurana and Vashisth 2001 , continued to Nandal and Saini 2013 and Singh et al 2015 had studied the propagation of waves through corrugated boundary surfaces and loosely bonded interfaces. The effect of corrugation, loose bonding, initial stress and gravity on the phase velocity of Rayleigh‐type wave is high‐ lighted in the study
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