SECOND ORDER EFFECTS IN DISSIPATIVE SOLIDS,

Abstract

Non-linearity of the strain-displacement equations (geometric non-linearity) or non-linearity of the constitutive tensor relations (tensorial non-linearity) or a combination of both produces phenomena that do not appear in the classical theories, such as density changes under imposed shear ('dilatency' or 'Kelvin effect') and extensions or normal stresses accompanying torsion (Poynting effect' or Weissenberg effect'). Theories of such secondorder effects are discussed. The accumulation of secondorder strain ('strain hardening') or the irreversibility of deformation, and interaction of second-order extension with axial loads are considered.

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1965
Accession Number
AD0612078

Entities

People

  • A. M. Freudenthal
  • Maria Ronay

Organizations

  • Columbia University

Tags

DTIC Thesaurus Topics

  • Axial Loads
  • Displacement
  • Hardening
  • Linearity
  • Strain Hardening

Readers

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