Aspects of Mechanical Behavior of Rock Under Static and Cyclic Loading. Part A: Mechanical Behavior of Rock Under Static Loading

Abstract

Valders limestone was tested for indirect tensile strength using the Brazilian test. The samples tested ranged in size from 3 in. in diameter by 2 in. long for the largest to 1 in. in diameter by 1/2 in. long for the smallest. Force vs. vertical displacement and force vs. horizontal strain at the center of the disc were plotted for each test specimen. A one-dimensional progressive failure model is proposed, consisting of linearly elastic springs in parallel which can deform independently of each other. The springs are assumed to be perfectly brittle and the values of stiffness and strength are assigned using the Monte Carlo technique. A two-dimensional progressive failure finite element model is presented. In this model the Brazilian test is modeled by a two- dimensional finite element structure. The following variables were analyzed: (1) ratio of allowable compressive strength to tensile strength, (2) number of loaded node points, (3) strength variance, and (4) stiffness variance. The two- dimensional model is capable of showing how failure develops in mixed stress fields, such as in Brazilian tests. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1972
Accession Number
AD0751051

Entities

People

  • Jesus Basas
  • Robert G. Lundquist
  • Robert W. Heins
  • Tarun Naik

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Compressive Strength
  • Computer Programs
  • Computers
  • Continuum Mechanics
  • Distribution Functions
  • Elastic Properties
  • Engineering
  • Failure Mode And Effect Analysis
  • Finite Element Analysis
  • Mathematical Models
  • Measurement
  • Mechanics
  • Modulus Of Elasticity
  • Strain Gages
  • Strain Rate
  • Tensile Strength
  • Two Dimensional

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Mechanical Engineering/Mechanics of Materials.
  • Mycotoxin ecology in Amazonian ecosystems.