T. Kepceler

Torsional Wave Propagation in Sandwich Hollow Cylinder with Pre-Strained Face (Core) Layers (Layer)

This paper studies torsional wave dispersion in a three-layered (sandwich) hollow cylinder with pre-strained face (core) layers (layer) made from high elastic materials the mechanical relations of which are described through the harmonic potential. The investigations are carried out within the scope of the piecewise homogeneous body model with the use of the three-dimensional linearized theory of elastic waves in initially stressed bodies. The analytical expression is obtained for the low wave number limit values of the torsional wave propagation velocity. The numerical results on the influence of the initial strains of the face (core) layers (layer) of the cylinder on the torsional wave propagation velocity are presented and discussed.

On the influence of initial strains in layers on the propagation of torsional waves in a hollow sandwich cylinder (soft core and stiff face layers)

Within the scope of a piecewise homogeneous body model, with the use of the three-dimensional linearized theory of elastic waves in prestrained bodies, the effect of initial strains in layers on the dispersion of torsional waves in a hollow sandwich cylinder is studied. Two cases are considered: in Case 1, it is assumed that initial strains exist in only face layers; in Case 2, initial strains occur in all layers of the cylinder. The elasticity relations for layer materials of the cylinder are given through a harmonic potential. A dispersion equation is derived, and an analytical expression is obtained for the limit values of wave propagation speed for low wave numbers. Numerical results are presented and discussed.

Torsional Wave Dispersion in a Pre-Strained Hollow Sandwich Cylinder With Soft Core

In this work a torsional wave dispersion in a pre-strained three-layered (sandwich) hollow circular cylinder made from hyper-elastic materials is studied. It is assumed that the material of the core layer is soft than the materials of skin layers and the investigations are carried out within the scope of the piecewise homogeneous body model with the use of the three-dimensional linearized theory of elastic waves in initially stressed bodies. The mechanical relations of the materials of the cylinders are described through their harmonic potential. The analytical expression is obtained for the low wave number limit values of the torsional wave propagation velocity. Moreover, numerical results on the influence of the problem parameters, such as initial strains arising as a result of the stretching or compression of the cylinders along the torsional wave propagation direction, thickness of the layers, mechanical constants of the layers’ materials and etc, are presented and discussed.Copyright

Torsional Wave Propagation in a Pre-Strained Hollow Three-Layered Circular Cylinder

This paper studies torsional wave dispersion in a pre-strained three-layered (sandwich) hollow cylinder made from high elastic materials the mechanical relations of which are described through the harmonic potential. The investigations are carried out within the scope of the piecewise homogeneous body model with the use of the three-dimensional linearized theory of elastic waves in initially stressed bodies. The analytical expression is obtained for the low wave number limit values of the torsional wave propagation velocity. The numerical results on the influence of the initial strains of the cylinders along the torsional wave propagation direction are presented and discussed.

On Some Particularities of the Axisymmetric Wave Propagation in the Initially Twisted Circular Compound Cylinders

This paper investigates some particularities related with the influence of the magnitude of the initial twisting of the axisymmetric wave propagation in the initially twisted circular bi-material compounded cylinder. The investigation is carried out within the scope of the piecewise homogeneous body model with the use of the three-dimensional linearized theory of elastic wave propagation in an initially stressed body. The mathematical formulation of the problem is presented and the corresponding solution method is proposed and developed. The numerical results are further presented and discussed. In particular, the mechanism of the arising of the new type modes caused by the initial twisting of the circular compounded cylinders is established.Copyright