Bias of Basal Dislocation Loop in Zirconium

Self Cite

Using the analytical expression for the energy of elastic interaction of radiation point defects with a prismatic edge dislocation loop of zirconium (Burgers vector bD 1/ 3 <1120>, {11 2 0 }occurrence plane), the bias of loops of different nature (vacancy and interstitial) was calculated by the finite difference method. The toroidal geometry of the reservoir was used. It allowed one to calculate biases for loops of any size without any correction of the elastic field in its area of influence. In the dilatation center approximation the dependences of the loop bias on the loop radius were obtained. The principal possibility of coexistence of loops of different nature in the prismatic plane of zirconium is shown. A qualitative concept of the radiation growth (RG) mechanism was formulated within the framework of the classical elastic ideology.

“…The central element of system (1)-( 3) is the interaction energy of PD with the loop. According to [13], in zirconium in the case of a dilatation center, it has the form:…”

Section: Loop Biasmentioning

confidence: 99%

“…In [13,14], within the framework of the classical elastic ideology (EID), the bias for basic zirconium loops (edge dislocation with the Burgers vector…”

Section: Introductionmentioning

confidence: 99%

Bias for Prismatic Dislocation Loops in Zirconium. Numerical Analysis

Trotsenko¹,

Бабич²,

Ostapchuk³

2023

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“…However, this dependence greatly complicates numerical calculations. Therefore, we will eliminate it by averaging the right side of (8) over the angle  , making the problem isotropic in the " yz " plane [19]. In the expression (8), the dependence on the variable "…”

mentioning

confidence: 99%

On the Possibility of Coexistence of Dislocation Loops of Different Nature in Zirconia Within the Framework of Classical Elastic Theory

Trotsenko,

Babich,

Ostapchuk

2023

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A distinctive feature of the radiation-induced microstructure of zirconium is, firstly, the coexistence of prismatic loops of different natures, and secondly, the nucleation and growth to large sizes of vacancy basis loops. In the work, within the framework of classical concepts of elastic interaction between a point defect and internal sink the results of numerical calculations of the dependence of bias loops of different natures lying in the basal and prismatic planes of zirconium on their radius are presented. The essential role of the form of the boundary condition on the outer surface of loop area of influence in toroidal geometry is shown. Possibilities, both the coexistence of prismatic loops of different natures and the growth of vacancy basis loops are discussed.

The Lifshitz-Rosenzweig Method in Calculations of the Bias of Basic Dislocation Loops in Zirconium

Trotsenko¹,

Бабич²,

Ostapchuk³

2022

Self Cite

Analytical expressions for the elastic interaction energy of radiation point defects of the dipole type with basic dislocation loops in zirconium are obtained for edge with Burgers vector bD= 1/2 [0001] and mixed with bDS = 1/6 <2023> using Lifshitz-Rosenzweig method. They were used in numerical calculation (by the finite difference method) of the bias of these loops in a toroidal reservoir taking into account the elastic anisotropy of a hexagonal crystal. The toroidal geometry of the reservoir allows calculations for a loop of any size and without any correction of the elastic field in its area of influence. In the approximation of the center of dilatation, the dependences of the bias of loops on their radius and nature are obtained. It is suggested that bias is determined only by the edge component of its Burgers vector. The essential role of the form of the boundary condition on the outer surface of the reservoir is shown.