MOVING LOADS ON THE SURFACE OF A CYLINDRICAL BORE IN AN INFINITE ELASTIC MEDIUM: PART III. SOME APPLICATIONS OF THE THEORY,
Abstract
Applications may include the design and analysis of vertical access shafts to deep underground installations and of certain relatively deep missile silos, analysis of shock diffraction problems involving cylindrical tunnels in which the direction of the shock wave is not normal to the tunnel axes, and examination of certain areas of experimentation. The problem of vertical shafts in the superseismic region of a nuclear blast is considered in detail. This problem is represented by an applied normal step load that travels with a constant velocity along the surface of a semi-infinite homogeneous and isotropic elastic medium. The velocity of the moving load is superseismic, i.e., it is greater than the propagation velocities of the P and S waves in the medium. The shaft is represented by a cylindrical bore in the medium, normal to its surface and closed at the top. The maximum stresses at the surface of the bore resulting from the effect of the moving load are evaluated. These stresses represent the effect of the P wave; the shear wave arrives later and acts to reduce the stress levels at the cavity boundary. Numerical results are given for the hoop, longitudinal, the shear stresses at several locations of the cavity boundary and for two velocities of the moving load, a low and a high superseismic velocity. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1965
- Accession Number
- AD0617106
Entities
People
- M. L. Baron
- R. Parnes
Organizations
- RAND Corporation