Dynamic Stresses in an Elastic Cylinder

TLDR: In this paper, an arbitrarily thick elastic cylinder in an infinite elastic medium during the passage of plane, compressional, harmonically time-varying waves is investigated, and the maximum dynamic stresses in both the cylinder and the medium are 10% to 20% higher than their corresponding static values.

Abstract: Dynamic stresses in an arbitrarily thick elastic cylinder in an infinite elastic medium during the passage of plane, compressional, harmonically time-varying waves are investigated. Dynamic stresses around the cylinder in the elastic medium are also determined. Numerical results for two different cylinders with ratios of outer radius and inner radius ranging from 1.05 to 1.20 are presented in dimensionless form. It is demonstrated that the maximum dynamic stresses in both the cylinder and the medium are 10% to 20% higher than their corresponding static values. It is noted that the maximum values of dynamic stresses obtained under the harmonically varying waves are identical to the maximum values obtained under the step-pulse loading, both for the unlined cavity and for the thin-shell lining case. Thus, it is believed that the values presented in the paper can be used for design purposes.