• Title/Summary/Keyword: Edge Dislocation

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Molecular dynamics study of Al solute-dislocation interactions in Mg alloys

  • Shen, Luming
    • Interaction and multiscale mechanics
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    • v.6 no.2
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    • pp.127-136
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    • 2013
  • In this study, atomistic simulations are performed to study the effect of Al solute on the behaviour of edge dislocation in Mg alloys. After the dissociation of an Mg basal edge dislocation into two Shockley partials using molecular mechanics, the interaction between the dislocation and Al solute at different temperatures is studied using molecular dynamics. It appears from the simulations that the critical shear stress increases with the Al solute concentration. Comparing with the solute effect at T = 0 K, however, the critical shear stress at a finite temperature is lower since the kinetic energy of the atoms can help the dislocation conquer the energy barriers created by the Al atoms. The velocity of the edge dislocation decreases as the Al concentration increases when the external shear stress is relatively small regardless of temperature. The Al concentration effect on the dislocation velocity is not significant at very high shear stress level when the solute concentration is below 4.0 at%. Drag coefficient B increases with the Al concentration when the stress to temperature ratio is below 0.3 MPa/K, although the effect is more significant at low temperatures.

The Effect of Dislocation Pipe Diffusion on Electro-Migration-Induced Breakdown in an FCC Structure (면심입방구조에서 Electro-Migration-Induced Breakdown에 대한 전위파이프 확산의 영향)

  • 이득용
    • Journal of the Korean Ceramic Society
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    • v.28 no.11
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    • pp.878-884
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    • 1991
  • The mobility and diffusivity in an edge dislocation in an FCC crystal formed by the removal of one half of a (100) plane were evaluated in an applied field by analyzing a vacancy tight binding model using Stark's matrix technique. A model of an edge dislocation in an FCC crystal was constructed for a [100] Burgers vector where vacancy transport along the edge dislocation in an FCC crystal was constructed for a [100] Burgers vector where vacancy transport along the edge of the extrac half plane of ions was considered. The model considered a tight binding approximation of the vacancy to the compressed region of the core and carried the calculation to the limit of an infinite length of dislocation. The diffusivity and the ratio of mobility to diffusivity were found to increase without bounds in the limit where the correlation factor becomes zero. In contrast, as the correlation factor became unity, the diffusivity became zero and the ratio of mobility to diffusivity became unity associated with the uncorrelated limit of 1/kT. This implied that the phenomenon was not unique to the crystal structure but was unique to edge dislocations with vacancy tight binding.

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Radiological Evaluation on Dislocation of the Hip with Spastic Cerebral Palsy (경직형 뇌성마비 아동의 고관절 탈구에 대한 방사선학적 평가)

  • Kim, Jeong-Hwan;Kim, Yong-Nam
    • Journal of the Korean Academy of Clinical Electrophysiology
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    • v.2 no.1
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    • pp.9-17
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    • 2004
  • The purpose of this study are to determine the proper radiographic measurements for hip deformity in spastic cerebral palsy patients, and the correlation of hip deformity with neurological involvement, ability of ambulation. Thirty children with cerebral palsy(22 males, 8 females) were evaluated by measurement of the migration index, acetabular index, center edge angle from bilateral hip APs(anterior posterior view). The result are as follows; 1. The incidence of hip dislocation, among the thirty children fifteen children were found to be dislocated, and more significantly high in non-walking group than in walking group(p<0.05) and in quadriplegia than in diplegia(p<0.05). 2. When compared to normal hip and dislocation hip, the migration index was significantly higher(p<0.01) and the center edge angle was lower in the dislocation hip than in the normal hip. 3. Correlation of radiological findings in right and left hip, the migration index and the center edge angle were highly correlated(p<0.01). We recommand regular intervals X-ray study for early diagnosis and management of hip dislocation in spastic cerebral palsy.

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Drift Diffusion of Radiation-produced Point Defects to Edge Dislocation

  • Park, S.S.;Chang, K.O.;Choi, S.P.;Kim, C.O.
    • Nuclear Engineering and Technology
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    • v.31 no.2
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    • pp.151-156
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    • 1999
  • Under the heavy irradiation of crystalline materials when the production and the recombination of interstitials and vacancies are included, the diffusion equations become nonlinear. An effort has been made to arrange an appropriate transformation of these nonlinear differential equations to more solvable Poisson's equations, finally analytical solutions for simultaneously calculating the concentrations of interstitials and vacancies in the angular dependent Cottrell's potential of the edge dislocation have been derived from the well-known Green's theorem and perturbation theory.

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Dislocation in Semi-infinite Half Plane Subject to Adhesive Complete Contact with Square Wedge: Part II - Approximation and Application of Corrective Functions (직각 쐐기와 응착접촉 하는 반무한 평판 내 전위: 제2부 - 보정 함수의 근사 및 응용)

  • Kim, Hyung-Kyu
    • Tribology and Lubricants
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    • v.38 no.3
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    • pp.84-92
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    • 2022
  • In Part I, developed was a method to obtain the stress field due to an edge dislocation that locates in an elastic half plane beneath the contact edge of an elastically similar square wedge. Essential result was the corrective functions which incorporate a traction free condition of the free surfaces. In the sequel to Part I, features of the corrective functions, Fkij,(k = x, y;i,j = x,y) are investigated in this Part II at first. It is found that Fxxx(ŷ) = Fxyx(ŷ) where ŷ = y/η and η being the location of an edge dislocation on the y axis. When compared with the corrective functions derived for the case of an edge dislocation at x = ξ, analogy is found when the indices of y and x are exchanged with each other as can be readily expected. The corrective functions are curve fitted by using the scatter data generated using a numerical technique. The algebraic form for the curve fitting is designed as Fkij(ŷ) = $\frac{1}{\hat{y}^{1-{\lambda}}I+yp}$$\sum_{q=0}^{m}{\left}$$\left[A_q\left(\frac{\hat{y}}{1+\hat{y}} \right)^q \right]$ where λI=0.5445, the eigenvalue of the adhesive complete contact problem introduced in Part I. To investigate the exponent of Fkij, i.e.(1 - λI) and p, Log|Fkij|(ŷ)-Log|(ŷ)| is plotted and investigated. All the coefficients and powers in the algebraic form of the corrective functions are obtained using Mathematica. Method of analyzing a surface perpendicular crack emanated from the complete contact edge is explained as an application of the curve-fitted corrective functions.

Drift Diffusion of Radiation-produced Point Defects to Edge Dislocation

  • S. S. park;K. O. Chang;Park, S. P.
    • Proceedings of the Korean Nuclear Society Conference
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    • 1998.05b
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    • pp.160-165
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    • 1998
  • Under the heavy irradiation, when the production and the recombination of interstitials and vacancies are included, the diffusion equations become nonlinear. An effort has been made to arrange an appropriated transformation of these nonlinear differential equations to soluble Poisson's equations, so that analytical solutions for simultaneously calculating the concentrations of interstitials and vacancies in the angular dependent Cottrell's potential of the edge dislocation have been derived from the well-known Green's theorem and perturbation theory.

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Dislocation behavior in the ZnSe crystal (ZnSe 단결정내에서의 전위거동)

  • 이성국;박성수;김준홍;한재용;이상학
    • Journal of the Korean Crystal Growth and Crystal Technology
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    • v.7 no.4
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    • pp.560-566
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    • 1997
  • Dislocation behavior in the ZnSe crystal grown by seeded vapor transport was investigated. Etch pit shape with the ZnSe plane and dislocation arrangement were shown. Also the variation of the dislocation density in the crystal was disclosed. The dislocation density along the lateral growth direction was not changed but the dislocation density along the vertical growth direction was reduced as the crystal grew. The average dislocation density of the grown crystal was $4{\times}10^4 /\textrm{cm}^2$.

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Study on the Behavior of a Center Crack under Thermal Impact by the Dislocation Theory (전위이론에 의한 열충격하의 균열거동에 관한 연구)

  • Cho, Chong-Du;Ahn, Soo-Ick
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.10
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    • pp.3408-3414
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    • 1996
  • This paper investigated plane strain stress intensity factors caused by thermal impact on a center-crack strip. The crack was aligned perpendicularly to the strip boundary. The problem was analysed by determining the dislocation density function in the singular integral equations formulated by the dislocation theory. Under the abrupt temperature change along the edge, the center crack behaved as a mode I crack due to the symmetric geometry. The value of maximum stress intensity factor monotonically increased until the ratio of dimensionless crack length approached to about 0.3, followed by gradual decrease. As a result, a critical corresponding crack length was determined.

Dislocation in Semi-infinite Half Plane Subject to Adhesive Complete Contact with Square Wedge: Part I - Derivation of Corrective Functions (직각 쐐기와 응착접촉 하는 반무한 평판 내 전위: 제1부 - 보정 함수 유도)

  • Kim, Hyung-Kyu
    • Tribology and Lubricants
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    • v.38 no.3
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    • pp.73-83
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    • 2022
  • This paper is concerned with an analysis of a surface edge crack emanated from a sharp contact edge. For a geometrical model, a square wedge is in contact with a half plane whose materials are identical, and a surface perpendicular crack initiated from the contact edge exists in the half plane. To analyze this crack problem, it is necessary to evaluate the stress field on the crack line which are induced by the contact tractions and pseudo-dislocations that simulate the crack, using the Bueckner principle. In this Part I, the stress filed in the half plane due to the contact is re-summarized using an asymptotic analysis method, which has been published before by the author. Further focus is given to the stress field in the half plane due to a pseudo-edge dislocation, which will provide a stress solution due to a crack (i.e. a continuous distribution of edge dislocations) later, using the Burgers vector. Essential result of the present work is the corrective functions which modify the stress field of an infinite domain to apply for the present one which has free surfaces, and thus the infiniteness is no longer preserved. Numerical methods and coordinate normalization are used, which was developed for an edge crack problem, using the Gauss-Jacobi integration formula. The convergence of the corrective functions are investigated here. Features of the corrective functions and their application to a crack problem will be given in Part II.

Arthrographic Evaluation in Developmental Dislocation of the Hip - Comparison Between Hip Arthrogram and Operative Findings - (발육성 고관절 탈구에서의 관절 조영술 -고관절 조영술과 수술소견과의 비교-)

  • Kim, Se-Dong;Lee, Yun-Seok
    • Journal of Yeungnam Medical Science
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    • v.15 no.2
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    • pp.263-274
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    • 1998
  • One of the main purposes in the treatment of developmental dislocation of the hip is to achieve and maintain concentric, congruent, and stable reduction. The arthrogram performs an important role in the diagnosis and treatment of developmental dislocation of the hip. The arthrogram provides much information about the soft tissue status of the hip joint. Limbus and ligamentum teres is exactly evaluated so that we can plan the reduction and treatment before operation. Eighteen preoperative hip arthrograms of 17 children treated for developmental dislocation of the hip from 1992 to 1998 were reviewed. The limbus, ligamentum teres and transverse acetabular ligament were compared with the pathoanatomy seen at the time of open reduction. Arthrography proved to be reliable in identifying the limbus and ligamentum teres. So we recommend that arthrography must be performed before closed or open reduction. Also, we recorded the radiographic parameters: acetabular index, acetabular floor thickness, center edge(CE) angle of Wiberg, and Y-coordinate. The center edge(CE) angle of Wiberg obtained from arthrography was measured more accurately than from simple roentgenograms because the ossification of the femoral head was frequently located eccentrically in the developmental dislocation of the hip.

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