Strain Field Development of a Rectangular Dislocation Loop in a Semi-Infinite Medium with Verification
Physical Science International Journal · pp. 23–38 · Published 3 Apr 2021
10.9734/psij/2021/v25i130234Abstract
This paper considers a rectangular Volterra dislocation loop lying beneath and parallel to a free surface in a semi-infinite material. The paper utilizes the displacement field of an infinitesimal dislocation loop to obtain the strain field and then integrate over a finite rectangular area. For the loop, it can have three non-zero Burgers vector components. The stress field is also obtained from Hooke’s law for isotropic materials. Analytical and numerical verifications of the strain and stress fields are performed. In addition, the effect of the free surface on stresses is displayed versus depth from the surface. Verification includes satisfaction of the zero-traction boundary condition, the stress equilibrium equations and the strain compatibility equations.
References (15)
- 1 Introduction to Dislocations [DOI]
- 2 Elementary Dislocation Theory
- 3 Multiscale modelling of plastic flow localization in irradiated materials [DOI]
- 4 The angular dislocation in a half space [DOI]
- 5 Free-Surface Effects in 3D Dislocation Dynamics: Formulation and Modeling [DOI]
- 6 Dislocation dynamics simulations of the interaction between a short rigid fiber and a glide circular dislocation pile-up [DOI]
- 7 Numerical methodology for treating static and dynamic dislocation problems near a free surface [DOI]
- 8 The dislocation loop near a free surface [DOI]
- 9 The displacement, and strain–stress fields of a general circular Volterra dislocation loop [DOI]
- 10 The spacing of prismatic dislocation loops [DOI]
- 11 Properties of Finite Circular Dislocation Glide Loops [DOI]
- 12 The treatment of traction-free boundary condition in three-dimensional dislocation dynamics using generalized image stress analysis [DOI]
- 13 A Mesh-Independent Brute-Force Approach for Traction-Free Corrections in Dislocation Problems [DOI]
- 14 The displacement field of a rectangular Volterra dislocation loop [DOI]
- 15 The Stress Field of a Rectangular Dislocation Loop in an Infinite Medium: Analytical Solution with Verification
Cited by 0
No indexed citations yet.
Related research
Article metrics
Real usage data collected on this platform.
5
Page views
0
PDF downloads
0
Outbound clicks
0
Citations
Views over time
Views by country
Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".
Traffic sources
Referring site, by host.
Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.