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[00855] Mathematical modelling of edge wave on a functionally graded thermo-poro-elastic plate

  • Session Time & Room : 5C (Aug.25, 13:20-15:00) @E817 A715
  • Type : Contributed Talk
  • Abstract : An analysis of flexural edge waves propagating in a thermally affected poroelastic plate supported by a Pasternak foundation is presented. The Kirchhoff plate theory and Moore-Gibson-Thomson (MGT) thermos elasticity theory are applied to study the displacement field of the plate and temperature distribution on edge wave, respectively. There are seven different porosity models considered to compare the edge wave behavior in different porous structures. The grid dispersion is optimized by applying the FDM to the wave equation. The effects of porosity, temperature, elastic foundation, cutoff-frequency, and wave frequency are investigated numerically.
  • Classification : 74J20, 35L05, 35L53, 86-10, 74S20
  • Author(s) :
    • Santanu Manna (Department of Mathematics, Indian Institute of Technology Indore, Simrol, Khandwa road, Indore-453552, M.P., India)
    • Rahul Som (Department of Mathematics, Indian Institute of Technology Indore, Simrol, Khandwa road, Indore-453552, M.P., India)
    • Tanisha Kumari (Department of Mathematics, Indian Institute of Technology Indore, Simrol, Khandwa road, Indore-453552, M.P., India)