Oblique Incidence of Plane Stress Waves on a Thick Cylindrical Shell.
Abstract
An infinitely long cylindrical shell in an infinite elastic medium is engulfed by a plane stress wave whose front travels obliquely with respect to the axis of the shell. The problem is treated in a moving set of coordinates as a steady-state case. The stress fields are expanded in Fourier series around the cavity. For each term of the series, the solution of the wave equations is presented by integral equations. Expressions for stress, velocity, and displacement components are derived for both the medium and the shell. Boundary conditions are expressed in the form of a set of simultaneous integral equations. Numerical results are presented for the stress, velocity, and displacement components at the inner surface of the shell and at the medium-shell interface. The effect of various parameters involved are studied for a step wave. The results are also presented for time-varying stress waves using Duhamel integrals. A static solution is generated. The numerical values in each dynamic problem are compared with the corresponding static solution. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 1969
- Accession Number
- AD0859854
Entities
People
- Joel T. Johnson
- M. Ali-akbarian
Organizations
- University of Illinois Urbana–Champaign