Premium
Torsional wave dispersion relations in a pre‐stressed bi‐material compounded cylinder
Author(s) -
Ozturk A.,
Akbarov S.D.
Publication year - 2009
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200800201
Subject(s) - cylinder , elasticity (physics) , mechanics , materials science , dispersion relation , radius , dispersion (optics) , homogeneous , geometry , composite material , mathematics , physics , optics , thermodynamics , computer security , computer science
Abstract Within the framework of the piecewise homogeneous body model and through the application of the three‐dimensional linearized theory of elastic waves in an initially stressed body, the torsional wave dispersion in pre‐stretched bi‐material compounded cylinders is investigated. It is assumed that the elasticity relations of the materials of the components of the cylinders are given through the Murnaghan potential. The numerical investigations are made for steel (St) (as a material for the solid cylinder) and bronze (Br) (as a material for a hollow covering cylinder). According to the numerical results obtained, the influence of the problem parameters such as the initial stresses in the components of the bi‐material compounded cylinder, the values of the mechanical and physical constants of the components, and the geometrical parameters (such as the relation of the thickness of the covering cylinder with the radius of the inner solid cylinder on the dispersion curves) are analyzed.