Simulation of macroscopic systems with non-vanishing elastic dipole components

Thomas Jourdan 1
1 SRMP - Service de recherches de métallurgie physique
DMN - Département des Matériaux pour le Nucléaire : DEN/DMN
Abstract : To simulate a macroscopic system from a simulation cell, a direct summation of the elastic fields produced by periodic images can be used. If the cell contains a non-zero elastic dipole component, the sum is known to be conditionally convergent. In analogy with systems containing electric or magnetic dipoles, we show that the sum introduces a component which only depends on the shape of the summation domain and on the dipole density. A correction to the direct summation is proposed for the strain and stress fields in the simulation cell, which ensures that zero tractions are imposed on the boundary of the macro-scopic system. The elastic fields then do not depend anymore on the shape of the domain. The effect of this correction is emphasized on the kinetics of dislo-cation loop growth by absorption of point defects. It is shown that correcting elastic fields has an influence on the kinetics if defects have different properties at stable and saddle points.
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https://hal-cea.archives-ouvertes.fr/cea-01930426
Contributor : Thomas Jourdan <>
Submitted on : Thursday, December 20, 2018 - 5:38:07 PM
Last modification on : Wednesday, January 23, 2019 - 2:38:27 PM
Long-term archiving on : Friday, March 22, 2019 - 9:41:36 AM

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  • HAL Id : cea-01930426, version 2
  • ARXIV : 1811.11837

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Thomas Jourdan. Simulation of macroscopic systems with non-vanishing elastic dipole components. 2018. ⟨cea-01930426v2⟩

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