A Technique for Measuring Area under a Curve.

Abstract

Measurement of the area under a curve is often the most direct way to determine the energy of a mechanical system. Area measurements are now routinely used in fracture mechanics testing as part of the standard test method for the J-integral fracture toughness. Vossoughi recently described a method for measuring the area under a curve, based on the weight of a template of the area. The technique suggested here is a simple geometric procedure suited to the relatively regular shapes of elastic-plastic load versus displacement plots of the type shown by curve OAB in Figure 1. This curve is typical of those obtained from tensile strength and fracture toughness tests of metals. Keywords: Plane geometry, Load-deflection curves, Trapezoids.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1988
Accession Number
ADA193559

Entities

People

  • John H. Underwood

Organizations

  • United States Army Armament Research, Development and Engineering Center

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies
  • Space

DTIC Thesaurus Topics

  • Accuracy
  • Air Force
  • Displacement
  • Engineering
  • Fracture (Mechanics)
  • Geometry
  • J Integrals
  • Materials
  • Measurement
  • Mechanics
  • Military Research
  • Plane Geometry
  • Systems Analysis
  • Tensile Strength
  • Test Methods
  • United States Military Academy

Readers

  • Approximation Theory.
  • Materials Science (Mechanical Engineering).
  • Systems Analysis and Design