EFFECT OF LOOSE BONDING AND CORRUGATED BOUNDARY SURFACE ON PROPAGATION OF RAYLEIGH‐TYPE WAVE

  • ABHISHEK KUMAR SINGH Department of Applied Mathematics, IIT (ISM), Dhanbad
  • KSHITISH CH. MISTRI Department of applied mathematics,IIT(ISM)Dhanbad
  • MUKESH KUMAR PAL Department of applied mathematics,IIT(ISM), Dhanbad

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.

Published
2017-09-30
Section
Articles