AXIALLY SYMMETRIC WAVE PROPAGATION IN A TWO-LAYERED CYLINDER

The linear theory of elasticity is used to investigate axially symmetric wave propagation in an infinitely long two-layered cylinder. Each material is taken to be homogeneous and isotropic. A perfect bond is assumed at the interface, while the inner and outer boundaries of the composite cylinder are...

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Bibliographic Details
Main Authors: Whittier, James S, Jones, John Paul
Format: Report
Language:English
Subjects:
AXIALLY SYMMETRIC FLOW
BONDED JOINTS
BONDING
BOUNDARY LAYER
CYLINDRICAL BODIES
ELASTIC PROPERTIES
MECHANICAL WAVES
Mechanics
MOTION
PROPAGATION
SANDWICH CONSTRUCTION
SHEAR STRESSES
SHELLS(STRUCTURAL FORMS)
STRUCTURAL MEMBERS
THEORY
VELOCITY
VIBRATION
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Summary:The linear theory of elasticity is used to investigate axially symmetric wave propagation in an infinitely long two-layered cylinder. Each material is taken to be homogeneous and isotropic. A perfect bond is assumed at the interface, while the inner and outer boundaries of the composite cylinder are treated as traction-free. The dispersion determinant relating phase velocity and wave number for a harmonic train of waves satisfying these boundary conditions is presented. The character of the dispersion equation is investigated analytically and numerically. Stress and displacement distributions are also presented for the numerical example. Comparisons are made with an approximate solution of the same problem obtained by means of a thin shell theory incorporating thickness-shear deformation of each layer.