Investigation of the Interface Phenomena Due to Interaction of High Intensity Stress Waves with Geologic Boundaries
Abstract
During the reporting period a stress-strain relationship was derived for the study of the interface phenomena when a high intensity stress wave impinges on a geologic boundary. The derived relationship was based on the ultimate density concept, i.e., the density of the material increases non- linearly with increasing stresses approaching a limiting value before a polymorphic phase transformation occurs. The derived stress-strain relationship was compared with high pressure data for three rock types. Based on this comparison it was determined that the derived stress-strain relationship modeled material behavior accurately with realistic physical parameters. The relationship was then used in the solution of second order non-linear Partial Differential Equations (PDE) of motion. The method of similarity was used to transform the non-linear PDE to an Ordinary Differential Equation (ODE). The ODE was then solved by standard techniques. The result was a closed form equation for particle displacement profiles in space and time domains including particle velocity acceleration and stress profiles. These profiles will be used in upcoming tasks to determine the role of various parameters in the generation of new waves at interfaces with mediums of finite thickness and the response at interfaces which can be described by a half-space.
Document Details
- Document Type
- Technical Report
- Publication Date
- Nov 30, 1991
- Accession Number
- ADA248992
Entities
People
- Ali Amini
- Steven I. Majtenyi