TWIST MODULUS FOR A 6-CONSTANT CENTRO-SYMMETRIC CUBIC CRYSTAL,

Abstract

A study is presented of the statical deformation of a mechanical model of a supposed 6-constant centro-symmetric cubic crystal which exhibits the phenomenon of couple stresses. A description of the design and construction of the model and the loading apparatus is given. The related theory of deformation of such a crystal is summarized and used in order to determine the elastic constants. The specific constitutive equations are shown. Experimental results are given for the model loaded on its boundary in a simple manner. The solutions of the equations of equilibrium satisfying the given boundary conditions are obtained and used for the determination of the constants. The complete set of numerical values of the constants are tabulated and discussed. One of the principal aims of the research was the determination of the twist modulus. (Author)

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1966
Accession Number
AD0629734

Entities

People

  • V. X. Kunukasseril
  • W. H. Hoppmann Ii

Organizations

  • Rensselaer Polytechnic Institute

Tags

DTIC Thesaurus Topics

  • Arrhenius Equation
  • Boundaries
  • Constitutive Equations
  • Construction
  • Differential Equations
  • Equations
  • Equations Of State
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Materials Science and Engineering.
  • Mechanical Engineering/Mechanics of Materials.
  • Theoretical Analysis.