Dimensional Changes in Crystals Caused by Dislocations - Archive ouverte HAL Access content directly
Journal Articles Journal of Mathematical Physics Year : 1960

Dimensional Changes in Crystals Caused by Dislocations

Abstract

According to the classical linear elasticity theory, if one or more dislocations are introduced into a body of elastic material, the average value of each of the infinitesimal strain components is zero; in particular, the change in volume is zero. This result seems not to be in accord with experimental data on cold worked metals. In this paper we use nonlinear elasticity theory to show how changes in the average dimensions of elastic bodies, either isotropic or anisotropic, resulting from the introduction of dislocations, can be calculated. In particular, we derive an explicit relation between the resultant change in volume, the stored energy, and the pressure derivatives of the elastic moduli.
Fichier principal
Vignette du fichier
Dimensional_Changes_in_Crystals_Caused_by_Dislocations.pdf (807.03 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-00851899 , version 1 (26-08-2013)

Identifiers

  • HAL Id : hal-00851899 , version 1

Cite

R. A. Toupin, R. S. Rivlin. Dimensional Changes in Crystals Caused by Dislocations. Journal of Mathematical Physics, 1960, 1 (1), pp.8-15. ⟨hal-00851899⟩

Collections

INSMI TDS-MACS
80 View
125 Download

Share

Gmail Facebook Twitter LinkedIn More