NEHRP Clearinghouse
- Title
- Dynamic Green's Functions for Layered Media and Applications to Boundary-Value Problems.
- File
- PB81178204.pdf
- Author(s)
- Apsel, R. J.
- Source
- National Science Foundation, Washington, DC. Office of Planning and Resources Management., January 1979, 377 p.
- Abstract
- Motivated by increasing demands on earthquake engineering and theoretical seismology, a method to calculate the three-dimensional dynamic Green's functions for layered viscoelastic media is developed. In seismology, Green's functions are used to synthesize theoretical seismograms for an extended source including the propagational effects of geologic layering. In earthquake engineering, Green's functions are used to determine the response of foundations to external forces and incoming seismic waves when embedded in realistic geologic structures. Part I of the study presents the formulation of the method and the subsequent application to problems in theoretical seismology. The formulation of an integral equation approach using Green's functions to assess boundary-value problems and the subsequent application to problems in earthquake engineering are presented in Part II.
- Keywords
- Viscoelastic theory; Numerical integration; Seismology; Equation of motion; Dynamic response; Earthquake engineering; Three-dimensional calculations; Greens function; Wave propagation; Integral equations; Theses; Soil structure interactions; Foundations; Earthquakes; Boundary value problems