NONLINEAR STRESS-WAVE PROPAGATION IN A SOIL COLUMN.

Abstract

A mathematical model was developed to describe one-dimensional wave propagation in a resonating column of a material with a nonlinear constitutive relation. The nonlinear partial differential equation which resulted was solved using a finite differencing method, and a computer program was written to simulate a resonating column. The computer simulation program was used to find a dynamic nonlinear constitutive relation for a sand and a clay by a trial-and-error method. It was discovered that the constitutive relation for these soils found by using a pseudo-nonlinear method (which is based on linear theory) agreed surprisingly well with the constitutive relation found using a genuine nonlinear theory. Convergence studies for the finite-differencing method were also made. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1970
Accession Number
AD0710234

Entities

People

  • Ralph Lachenmaier

Organizations

  • Dartmouth College

Tags

DTIC Thesaurus Topics

  • Computational Science
  • Computer Programs
  • Computer Simulations
  • Computers
  • Differential Equations
  • Equations
  • Mathematical Models
  • Partial Differential Equations
  • Simulations
  • Stress Waves
  • Wave Propagation
  • Waves

Readers

  • Agricultural Chemistry/Soil Science
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Systems Analysis and Design