THEORETICAL INVESTIGATIONS OF THE BEHAVIOR OF BRITTLE MATERIALS AT VARIOUS RANGES OF TEMPERATURE.

Abstract

A new theory of elasticity was developed which will provide a mathematical treatment of the behavior of brittle materials. By postulating two axioms concerning the invariance of the deformation energy under any coordinate transformation and the continuous transition of the volume dilatation from the elasticic to the plastic range it was possible to establish a general invariant non-linear stress-strain relation for the three-axial state of stress. For the extension of the theory to anisotropic media some group theoretical considerations are performed in order to establish the general form of the deformation energy for these media. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1963
Accession Number
AD0415054

Entities

People

  • Phil Udo Wegner

Tags

DTIC Thesaurus Topics

  • Elastic Properties
  • Invariance
  • Materials
  • Mechanical Properties
  • Physical Properties
  • Stress Strain Relations
  • Stresses

Readers

  • Calculus or Mathematical Analysis
  • Mechanical Engineering/Mechanics of Materials.
  • Theoretical Analysis.