MOVING LOADS ON THE SURFACE OF A CYLINDRICAL BORE IN AN INFINITE ELASTIC MEDIUM: PART I. THEORETICAL ANALYSIS OF LINE LOADS,
Abstract
This Memorandum considers a line load applied along a transverse circle that travels in the axial direction along the interior of a circular bore in an infinite elastic, homogeneous, and isotropic medium. Three cases of line loads are considered: the direction of the line load normal to the surface, tangential to the surface in the direction of the axis of the bore, and tangential to the circle of load application. In each case, the components of the applied line loads are expanded into a Fourier series in terms of the angular coordinate. Expressions for the stress and displacement components at points in the medium are derived for each term of the Fourier series as a function of the radial distance from the cavity axis and the longitudinal distance behind the wave front. Numerical results are presented for the axisymmetric case, n = 0, for both the stress and displacement components on the cavity boundary. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1965
- Accession Number
- AD0617131
Entities
People
- H. H. Bleich
- M. L. Baron
- R. Parnes
Organizations
- RAND Corporation