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Journal articles on the topic 'Dislocation field mechanics'

Author: Grafiati

Published: 8 February 2025

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1

Beyerlein, I. J., and A. Hunter. "Understanding dislocation mechanics at the mesoscale using phase field dislocation dynamics." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 374, no. 2066 (2016): 20150166. http://dx.doi.org/10.1098/rsta.2015.0166.

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In this paper, we discuss the formulation, recent developments and findings obtained from a mesoscale mechanics technique called phase field dislocation dynamics (PFDD). We begin by presenting recent advancements made in modelling face-centred cubic materials, such as integration with atomic-scale simulations to account for partial dislocations. We discuss calculations that help in understanding grain size effects on transitions from full to partial dislocation-mediated slip behaviour and deformation twinning. Finally, we present recent extensions of the PFDD framework to alternative crystal s

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2

Fressengeas, Claude, and Vincent Taupin. "Revisiting the Application of Field Dislocation and Disclination Mechanics to Grain Boundaries." Metals 10, no. 11 (2020): 1517. http://dx.doi.org/10.3390/met10111517.

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We review the mechanical theory of dislocation and disclination density fields and its application to grain boundary modeling. The theory accounts for the incompatibility of the elastic strain and curvature tensors due to the presence of dislocations and disclinations. The free energy density is assumed to be quadratic in elastic strain and curvature and has nonlocal character. The balance of loads in the body is described by higher-order equations using the work-conjugates of the strain and curvature tensors, i.e., the stress and couple-stress tensors. Conservation statements for the translat

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3

ROY, A. "Finite element approximation of field dislocation mechanics." Journal of the Mechanics and Physics of Solids 53, no. 1 (2005): 143–70. http://dx.doi.org/10.1016/j.jmps.2004.05.007.

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4

Mironova, M., V. Selvamanickam, D. F. Lee, and K. Salama. "TEM studies of dislocations in deformed melt-textured YBa2Cu3Ox superconductors." Journal of Materials Research 8, no. 11 (1993): 2767–73. http://dx.doi.org/10.1557/jmr.1993.2767.

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TEM studies have been conducted on melt-textured YBa2Cu3Ox samples that were uniaxially and isostatically deformed at high temperatures and compared with those of undeformed samples. Dislocation pile-ups along [100] and [010] are found to be the common feature between undeformed samples with the best Jc and the uniaxially deformed samples, and are suggested to be responsible for enhanced pinning when the magnetic field (H) is applied parallel to the a-b plane. Dislocation loops, tangles, and arrays are also observed, and are considered to contribute to pinning in field orientations other than

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5

Mesarovic, Sinisa. "Plasticity of crystals and interfaces: From discrete dislocations to size-dependent continuum theory." Theoretical and Applied Mechanics 37, no. 4 (2010): 289–332. http://dx.doi.org/10.2298/tam1004289m.

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In this communication, we summarize the current advances in size-dependent continuum plasticity of crystals, specifically, the rate-independent (quasistatic) formulation, on the basis of dislocation mechanics. A particular emphasis is placed on relaxation of slip at interfaces. This unsolved problem is the current frontier of research in plasticity of crystalline materials. We outline a framework for further investigation, based on the developed theory for the bulk crystal. The bulk theory is based on the concept of geometrically necessary dislocations, specifically, on configurations where di

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6

Puri, Saurabh, Amit Das, and Amit Acharya. "Mechanical response of multicrystalline thin films in mesoscale field dislocation mechanics." Journal of the Mechanics and Physics of Solids 59, no. 11 (2011): 2400–2417. http://dx.doi.org/10.1016/j.jmps.2011.06.009.

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7

Acharya, Amit. "Constitutive analysis of finite deformation field dislocation mechanics." Journal of the Mechanics and Physics of Solids 52, no. 2 (2004): 301–16. http://dx.doi.org/10.1016/s0022-5096(03)00093-0.

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8

Weertman, J. "Mode III Crack Tip Plastic Zone Solution for Work Hardening Solid Using Dislocation Motion." Journal of Applied Mechanics 56, no. 4 (1989): 976–77. http://dx.doi.org/10.1115/1.3176200.

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The stress and strain field solutions for the stationary mode III crack in small-scale yielding is obtained from a direct physical picture in which the plastic strain is produced by the motion of infinitesimal dislocations. The analysis is based on a shifting center, cylindrical coordinate system. The nonredundant dislocation density is determined. The ratio of nonredundant to redundant dislocation density within the plastic zone may be a useful measure for placing cracks into a brittle class, a ductile class and semibrittle to semiductile classes.

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9

Luo, H. A., and Y. Chen. "An Edge Dislocation in a Three-Phase Composite Cylinder Model." Journal of Applied Mechanics 58, no. 1 (1991): 75–86. http://dx.doi.org/10.1115/1.2897182.

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An exact solution is given for the stress field due to an edge dislocation embedded in a three-phase composite cylinder. The force on the dislocation is then derived, from which a set of simple approximate formulae is also suggested. It is shown that, in comparison with the two-phase model adopted by Dundurs and Mura (1964), the three-phase model allows the dislocation to have a stable equilibrium position under much less stringent combinations of the material constants. As a result, the so-called trapping mechanism of dislocations is more likely to take place in the three-phase model. Also, t

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10

Vivekanandan, Vignesh, Joseph Pierre Anderson, Yash Pachaury, Mamdouh S. Mohamed, and Anter El-Azab. "Statistics of internal stress fluctuations in dislocated crystals and relevance to density-based dislocation dynamics models." Modelling and Simulation in Materials Science and Engineering 30, no. 4 (2022): 045007. http://dx.doi.org/10.1088/1361-651x/ac5dcf.

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Abstract A statistical analysis of internal stress fluctuations, defined as the difference between the local mean stress and stress on dislocations, is presented for deforming crystals with 3D discrete dislocation systems. Dislocation realizations are generated using dislocation dynamics simulations and the associated stress field is computed as a superposition of a regularized stress field of dislocation lines within the domain of the solution and a complementary stress field computed via a finite-element boundary value problem. The internal stress fluctuations of interest are defined by an e

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11

Huang, Haiying, and George A. Kardomateas. "Single-Edge and Double-Edge Cracks in a Fully Anisotropic Strip." Journal of Engineering Materials and Technology 121, no. 4 (1999): 422–29. http://dx.doi.org/10.1115/1.2812397.

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The mode I and II stress intensity factors in a fully anisotropic infinite strip with a single-edge or double-edge crack configuration are obtained from an approach based on the continuous dislocation technique. The elastic solution of a single dislocation in an anisotropic half plane is used in conjunction with an array of dislocations along the boundary of the infinite strip, which is supposed to be traction-free, to provide the solution of a single dislocation in an anisotropic infinite strip. The dislocation densities of the dislocation array are determined in such a way that the traction

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12

Pustovoit, Viktor N., and Yuri V. Dolgachev. "Interaction of Ferromagnetically Ordered Clusters with Dislocations in Austenite and Twinning." Materials Science Forum 1052 (February 3, 2022): 134–39. http://dx.doi.org/10.4028/p-a8jty9.

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The relationship between the interaction of ferromagnetically ordered clusters in austenite with dislocations, twinning and nucleation of the martensite phase is considered. It is shown that the regions with short-range order existing in austenite affect the dislocation structure. In turn, dislocations are involved in the formation of twins and martensite nuclei. The imposition of an external magnetic field enhances the magnetic inhomogeneity of austenite and the effects of magnetoelastic interaction between clusters and dislocations.

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13

Zhang, H., A. H. King, and R. Thomson. "The interaction between dislocations and intergranular cracks." Journal of Materials Research 6, no. 2 (1991): 314–23. http://dx.doi.org/10.1557/jmr.1991.0314.

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The elastic interactions of dislocations and intergranular cracks in isotropic materials have been studied. In the first part of the paper, a model based on the Rice–Thomson theory is established under which the conditions for dislocation emission and crack propagation can be described in terms of an emission surface, cleavage surface, and loading line in the local k-space associated with a mixed mode intergranular crack. For a given crack, the local k-field changes with the emission of dislocations from the crack tip, which alters the balance of cleavage and emission. In the second part, we p

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14

Shastry, Vijay, and Tomas Diaz de la Rubia. "The Interaction Between Point Defects and Edge Dislocation in BCC Iron." Journal of Engineering Materials and Technology 121, no. 2 (1999): 126–28. http://dx.doi.org/10.1115/1.2812356.

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We present results of atomistic simulations of the interaction between self interstitial atoms and vacancies with edge dislocations in BCC iron. The calculations are carried out using molecular dynamics with an energy minimization scheme based on the quasi-Newton approach and use the Finnis-Sinclair interatomic potential for BCC iron developed by Ackland et al. Large anisotropy in the strain field of self interstitials is observed and it causes strong interaction with edge dislocations even when the defect is located on the dislocation glide plane. For vacancies, the relaxation volume is small

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15

Cui, Yinan, Kailun Li, Chan Wang, and Wei Liu. "Dislocation evolution during additive manufacturing of tungsten." Modelling and Simulation in Materials Science and Engineering 30, no. 2 (2021): 024001. http://dx.doi.org/10.1088/1361-651x/ac40d3.

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Abstract Additive manufacturing (AM) frequently encounters part quality issues such as geometrical inaccuracy, cracking, warping, etc. This is associated with its unique thermal and mechanical cycling during AM, as well as the material properties. Although many efforts have been spent on this problem, the underlying dislocation evolution mechanism during AM is still largely unknown, despite its essential role in the deformation and cracking behavior during AM and the properties of as-fabricated parts. In this work, a coupling method of three-dimensional dislocation dynamics and finite element

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16

Xin, Y., K. Han, N. Mateeva, H. Garmestani, P. N. Kalu та K.-H. Dahmen. "Microstructures of La1−xAx(A = Ca or Sr)MnO3−δ thin films by liquid-delivery metalorganic chemical vapor deposition". Journal of Materials Research 16, № 11 (2001): 3073–83. http://dx.doi.org/10.1557/jmr.2001.0425.

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The microstructure of La1–xAx(A = Ca or Sr)MnO3–δ thin films grown by liquid-delivery metalorganic chemical vapor deposition on (001) MgO and (110)pseudo-cubic LaAlO3 were studied by transmission electron microscopy. The La1–xCaxMnO3–δ thin film on large lattice mismatched MgO exhibited very defective microstructures and consisted of two typical regions. The first region was close to the film–substrate interface and had an epitaxial relationship to the substrate with many differently oriented domains nucleated on the substrate surface. The second region consisted of columnar grains with some d

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17

Siddique, Abu Bakar, and Tariq Khraishi. "A holed-plate with material dislocations: Formulation and verification." Mathematics and Mechanics of Solids 27, no. 5 (2021): 896–909. http://dx.doi.org/10.1177/10812865211053369.

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Standard text-book dislocation theory for the elastic fields of a dislocation is provided in an infinite medium. For problems involving free surfaces, or image stresses, the solution for such elastic fields is more complex. The current article extends the state of knowledge for problems with free surfaces to address the stress field of a screw dislocation in a plate (two planar free surfaces) containing a hole/void. Such surfaces interact and thus affect the stress field of a dislocation in deviation of the infinite medium solution. The numerical solutions provided herein, based on reflective

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18

Horstemeyer, Mark F., and M. I. Baskes. "Atomistic Finite Deformation Simulations: A Discussion on Length Scale Effects in Relation to Mechanical Stresses." Journal of Engineering Materials and Technology 121, no. 2 (1999): 114–19. http://dx.doi.org/10.1115/1.2812354.

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In this study, atomistic finite deformation calculations employing the Embedded Atom Method show three items of interest related to continuum field theory. First, a spatial size scale effect on the yield stress is found. In these calculations, mechanical yield point occurred from dislocation initiation at the edge of the numerical specimens. The spatial size scale continued to affect the plastic response up to strains of 30 percent in simple shear for nickel oriented at 〈011〉. The second point is related to the continuum mechanics observation about oscillating global shear stress under simple

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19

Cleja-Ţigoiu, Sanda. "Disclinations and GND tensor effects on the multislip flow rule in crystal plasticity." Mathematics and Mechanics of Solids 25, no. 8 (2020): 1643–76. http://dx.doi.org/10.1177/1081286519896394.

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This paper deals with new elastoplastic models for crystalline materials with microstructural defects, such as dislocations and disclinations, which are consistent with the multislip plastic flow rule, and compatible with the free energy imbalance principle. The defect free energy function is a function of the disclination tensor and its gradient, and of the geometrically necessary dislocation (GND) tensor, via the Cartan torsion. By applying the free energy imbalance, the appropriate viscoplastic (diffusion-like) evolution equations are derived for shear plastic rates (in slip systems) and fo

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20

Wu, Wenwang, Cunjing Lv, Shucai Xu, and Jinhuan Zhang. "Elastic field due to dislocation loops in isotropic bimaterial with dislocation-like and force-like interface models." Mathematics and Mechanics of Solids 22, no. 5 (2016): 1190–204. http://dx.doi.org/10.1177/1081286515622808.

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Based on the two-dimensional discrete Fast Fourier Transformation (FFT) method, a semi-analytical solution is developed for calculating the elastic fields of dislocation loops within isotropic bimaterials, where the imperfect interface can be described as two types of models: (a) dislocation-like and (b) force-like. Calculation examples of dislocation loops within Al–Cu bimaterials are performed to verify the reliability of the semi-analytical approach. Effects of constant matrix for the dislocation-like and force-like models on the interface elastic fields are studied, and it is shown that th

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21

Roy, A., S. Puri, and A. Acharya. "Phenomenological mesoscopic field dislocation mechanics, lower-order gradient plasticity, and transport of mean excess dislocation density." Modelling and Simulation in Materials Science and Engineering 15, no. 1 (2006): S167—S180. http://dx.doi.org/10.1088/0965-0393/15/1/s14.

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22

Takaki, Seiya, Tomokazu Yamamoto, Masanori Kutsuwada, Kazuhiro Yasuda, and Syo Matsumura. "Atomistic observation of electron irradiation-induced defects in CeO2." MRS Proceedings 1514 (2013): 93–98. http://dx.doi.org/10.1557/opl.2013.199.

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ABSTRACTWe have investigated the atomistic structure of radiation-induced defects in CeO2 formed under 200 keV electron irradiation. Dislocation loops on {111} habit planes are observed, and they grow accompanying strong strain-field. Atomic resolution scanning transmission electron microscopy (STEM) observations with high angle annular dark-field (HAADF) and annular bright-field (ABF) imaging techniques showed that no additional Ce layers are inserted at the position of the dislocation loop, and that strong distortion and expansion is induced around the dislocation loops. These results are di

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23

Taupin, V., S. Berbenni, C. Fressengeas, and O. Bouaziz. "On particle size effects: An internal length mean field approach using field dislocation mechanics." Acta Materialia 58, no. 16 (2010): 5532–44. http://dx.doi.org/10.1016/j.actamat.2010.06.034.

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24

Acharya, A., R. J. Knops, and J. Sivaloganathan. "On the structure of linear dislocation field theory." Journal of the Mechanics and Physics of Solids 130 (September 2019): 216–44. http://dx.doi.org/10.1016/j.jmps.2019.06.002.

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25

Acharya, Amit. "Stress of a Spatially Uniform Dislocation Density Field." Journal of Elasticity 137, no. 2 (2019): 151–55. http://dx.doi.org/10.1007/s10659-018-09717-5.

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26

Brenner, R., A. J. Beaudoin, P. Suquet, and A. Acharya. "Numerical implementation of static Field Dislocation Mechanics theory for periodic media." Philosophical Magazine 94, no. 16 (2014): 1764–87. http://dx.doi.org/10.1080/14786435.2014.896081.

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27

Acharya, Amit, Karsten Matthies, and Johannes Zimmer. "Travelling wave solutions for a quasilinear model of field dislocation mechanics." Journal of the Mechanics and Physics of Solids 58, no. 12 (2010): 2043–53. http://dx.doi.org/10.1016/j.jmps.2010.09.008.

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28

Djaka, Komlan Sénam, Aurélien Villani, Vincent Taupin, Laurent Capolungo, and Stéphane Berbenni. "Field Dislocation Mechanics for heterogeneous elastic materials: A numerical spectral approach." Computer Methods in Applied Mechanics and Engineering 315 (March 2017): 921–42. http://dx.doi.org/10.1016/j.cma.2016.11.036.

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29

Breeden, Ja’Nya, Dow Drake, Jay Gopalakrishnan, and Saurabh Puri. "A one-dimensional field dislocation mechanics model using discontinuous Galerkin method." Computational Materials Science 216 (January 2023): 111870. http://dx.doi.org/10.1016/j.commatsci.2022.111870.

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30

Albrecht, Claire, Irene J. Beyerlein, and Morgan R. Jones. "Temperature dependent phase field dislocation dynamics model." European Journal of Mechanics - A/Solids 100 (July 2023): 104987. http://dx.doi.org/10.1016/j.euromechsol.2023.104987.

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31

Zhang, Tong-Yi, and J. E. Hack. "Interaction of a screw dislocation with a crack in an anisotropic body." Journal of Materials Research 6, no. 12 (1991): 2578–84. http://dx.doi.org/10.1557/jmr.1991.2578.

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The stress field, image force, and shielding effect of a screw dislocation in the vicinity of a Mode III crack were formulated for both semi-infinite and finite length cracks. The results show that there is an abnormal stress component, ŝ31, on the crack plane. This leads to a nonzero image force along the axis perpendicular to the crack plane when the dislocation is located on the crack plane. However, the abnormal stress component and image force disappear for orthotropic and isotropic media. The image force along a slip plane has the same expression as in isotropic media with an effective s

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32

Katz, Y., W. Mook, R. Mukherjee, A. Gidwani, J. Deneen, and William W. Gerberich. "Mechanical Response of Semi-Brittle Nano Particles under an Imposed Cyclic Field." Materials Science Forum 482 (April 2005): 51–54. http://dx.doi.org/10.4028/www.scientific.net/msf.482.51.

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In elastic plastic solids, approaching the sub micron scale, critical experiments indicated significant differences in the mechanical response. Thus, mainly in small volume behavior a length scale issue is introduced with implications on the basic understanding of deformation and fracture processes. The current study is centered on the mechanical response of silicon particles in the range of 20-50 nm on sapphire substrate. Monotonic and cyclic mechanical tests have been performed by contact mechanics methodology at ambient temperature. Mechanical information and visualization assisted by scann

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33

Vasilevich, Yu V., and O. M. Ostrikov. "The Equilibrium Condition of a Non-Thin Screw Wedge-Shaped Twin Located in the Distance from the Surface of an Undeformed Crystal." Science & Technique 17, no. 6 (2018): 515–20. http://dx.doi.org/10.21122/2227-1031-2018-17-6-515-520.

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The equilibrium condition for a non-thin helical wedge-shaped twin located far from the surface of the crystal is obtained. The case of an undeformed solid is considered. It is established that under such conditions a helical twin can not twin can not exist under such conditions. The result is in full conformity with generally known results for dislocation walls from helical dislocations. An approximation for continuous distribution of twinning dislocations at twin boundaries has been used in methodology for deriving an equilibrium condition. The shape of the twin boundaries has been described

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34

Chiang, C. R. "The dislocation field around a mode-II crack tip." Engineering Fracture Mechanics 29, no. 3 (1988): 349–54. http://dx.doi.org/10.1016/0013-7944(88)90022-7.

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35

Morin, Léo, Renald Brenner, and Pierre Suquet. "Numerical simulation of model problems in plasticity based on field dislocation mechanics." Modelling and Simulation in Materials Science and Engineering 27, no. 8 (2019): 085012. http://dx.doi.org/10.1088/1361-651x/ab49a0.

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36

Peng, Xianghua, Min Yu, and Yuxuan Yang. "Interaction between a generalized screw dislocation in the matrix and an inhomogeneity containing an elliptic hole in piezoelectric–piezomagnetic composite materials." Mathematics and Mechanics of Solids 24, no. 10 (2019): 3080–91. http://dx.doi.org/10.1177/1081286519832064.

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The paper deals with the interaction of a generalized screw dislocation and an elliptic inhomogeneity containing a confocal elliptic hole in a magneto-electro-elastic composite material. Exact solutions are derived for the case where the generalized screw dislocation is located in the matrix under a remote anti-plane shear stress field, an in-plane electric field, and a magnetic field. Based on the complex variable method, the complex potentials of both the matrix and the inhomogeneity are obtained in series, and analytic expressions for the generalized stress and strain field, the image force

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37

Henager, Charles H., and Richard G. Hoagland. "Forces between Dislocations due to Dislocation Core Fields." MRS Proceedings 652 (2000). http://dx.doi.org/10.1557/proc-652-y7.7.

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ABSTRACTAtomistic dislocation models were used to determine the properties of dislocation core fields in Al using an EAM potential. Equilibrium atom configurations were compared with initial configurations displaced according to the Volterra field to determine core displacement fields for edge, screw, and mixed (60° and 30°) geometries. The core field was approximated by a line force defect field lying parallel to the dislocation line direction. Best-fit parameters for the core fields were obtained in terms of the anisotropic elastic solution for a line force defect, from which the line force

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38

Kobayashi, Shunsuke, and Ryuichi Tarumi. "Geometrical frustration in nonlinear mechanics of screw dislocation." Royal Society Open Science 11, no. 12 (2024). https://doi.org/10.1098/rsos.240711.

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The existence of stress singularities and reliance on linear approximations pose significant challenges in comprehending the stress field generation mechanism around dislocations. This study employs differential geometry and calculus of variations to mathematically model and numerically analyse screw dislocations. The kinematics of the dislocation are expressed by the diffeomorphism of the Riemann–Cartan manifold, which includes both the Riemannian metric and affine connection. The modelling begins with a continuous distribution of dislocation density, which is transformed into torsion τ throu

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39

Weidner, Timmo, Vincent Taupin, Sylvie Demouchy, et al. "From Electron Tomography of Dislocations to Field Dislocation Mechanics: Application to Olivine." Modelling and Simulation in Materials Science and Engineering, November 7, 2023. http://dx.doi.org/10.1088/1361-651x/ad0a42.

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Abstract We propose a new procedure to extract information from electron tomography and use them as an input in a field dislocation mechanics. Dislocation electron tomography is an experimental technique that provides three-dimensional information on dislocation lines and Burgers vectors within a thin foil. The characterized 3D dislocation lines are used to construct the spatial distribution of the equivalent Nye dislocation density tensor. The model dislocation lattice incompatibility equation and stress balance equation are solved with a spectral code based on fast Fourier transform algorith

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40

Koslowski, M., M. Ortiz, and A. M. Cuitino. "Statistical Modeling of a Dislocation Phase-Field in Ductile Single Crystals." MRS Proceedings 701 (2001). http://dx.doi.org/10.1557/proc-701-t4.5.1.

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ABSTRACTA model for the description of strain hardening and hysteresis at different temperatures and strain rates in ductile single crystals is introduced. The theory accounts for: and arbitrary number and arrangement of dislocation lines over a slip plane; the long-range elastic interactions between dislocation lines; the core structure of the dislocations; the interaction between the dislocations and applied resolved shear stress field; and the dissipative in teractions with short-range obstacles and lattice friction, resulting in hardening, path dependency and hysteresis. We introduce a var

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41

Anderson, Joseph Pierre, Vignesh Vivekanandan, Peng Lin, Kyle Starkey, Yash Pachaury, and Anter El-Azab. "Situating the Vector Density Approach Among Contemporary Continuum Theories of Dislocation Dynamics." Journal of Engineering Materials and Technology 144, no. 1 (2021). http://dx.doi.org/10.1115/1.4052066.

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Abstract For the past century, dislocations have been understood to be the carriers of plastic deformation in crystalline solids. However, their collective behavior is still poorly understood. Progress in understanding the collective behavior of dislocations has primarily come in one of two modes: the simulation of systems of interacting discrete dislocations and the treatment of density measures of varying complexity that are considered as continuum fields. A summary of contemporary models of continuum dislocation dynamics is presented. These include, in order of complexity, the two-dimension

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42

Bakhtiyari, Ensiye, Mahdi Javanbakht, and Mohsen Asle Zaeem. "Evolution of edge dislocations under elastic and inelastic strains: A nanoscale phase-field study." Mathematics and Mechanics of Solids, January 12, 2023, 108128652211405. http://dx.doi.org/10.1177/10812865221140527.

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A phase-field approach is used to study the evolution of edge dislocations in single crystals at the nanoscale. The characteristics of an advanced phase-field approach for dislocation evolution are investigated, and some advancements are made to make it more accurate in predicting the dislocation evolution. To verify the model and numerical procedure, the height of a slip system, the Burgers vector, and the distance between the cores of dislocations are calculated, which show a very good agreement with those of the existing theoretical solutions. The analytical and numerical solutions for the

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43

Huang, Yuanjie. "Electric features of dislocations and electric force between dislocations." Mathematics and Mechanics of Solids, October 20, 2020, 108128652096564. http://dx.doi.org/10.1177/1081286520965640.

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Dislocations and dislocation dynamics are the cores of material plasticity. In this work, the electric features of dislocations were investigated theoretically. An intrinsic electric field around a single dislocation was revealed. In addition to the well-known Peach–Koehler force, it was established that an important intrinsic electric force exists between dislocations, which is uncovered here for the first time and has been neglected since the discovery of dislocations. The electric forces may be large and sometimes could exceed the Peach–Koehler force for metals and some dielectric materials

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44

Acharya, Amit, and Jorge Viñals. "Field dislocation mechanics and phase field crystal models." Physical Review B 102, no. 6 (2020). http://dx.doi.org/10.1103/physrevb.102.064109.

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45

Pal, Dayeeta, Yifan Wang, Ramya Gurunathan, and Leora Dresselhaus-Marais. "Measuring the Burgers vector of dislocations with dark-field X-ray microscopy." Journal of Applied Crystallography 58, no. 1 (2025). https://doi.org/10.1107/s1600576724011968.

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The subsurface dynamics of dislocations are essential to many properties of bulk crystalline materials. However, it is challenging to characterize a bulk crystal by conventional transmission electron microscopy (TEM) due to the limited penetration depth of electrons. A novel X-ray imaging technique – dark-field X-ray microscopy (DFXM) – was developed to image hierarchical dislocation structures in bulk crystals. While today's DFXM can effectively map the line structures of dislocations, it is still challenging to quantify the Burgers vectors, the key characterization governing the dislocation

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46

Loiko, Konstantin V., Giri Nallapati, Keith M. Jarreau, et al. "The Impact of Point Defects on Stress-Induced Dislocation Generation in Silicon." MRS Proceedings 610 (2000). http://dx.doi.org/10.1557/proc-610-b6.13.

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AbstractFactors responsible for the onset of dislocation generation in the fields of localized high stresses have been studied in LOCOS-isolated test structures by means of preferential etching, junction leakage analysis, and computer simulation. A strong correlation between densities of stacking faults and dislocations was observed in the experiments. Defect distributions also correlated to leakage currents. 2D simulations of stresses, interstitial injection, and stacking fault growth during field oxidation showed that maximum resolved shear stress in the structures did not exceed the critica

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47

Sozio, Fabio, and Arash Yavari. "A Geometric Field Theory of Dislocation Mechanics." Journal of Nonlinear Science 33, no. 5 (2023). http://dx.doi.org/10.1007/s00332-023-09919-9.

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48

Sun, Y. Q., P. M. Hazzledine, and D. M. Dimiduki. "Stress-Driven Collective Nucleation of Dislocation Loops." MRS Proceedings 481 (1997). http://dx.doi.org/10.1557/proc-481-261.

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ABSTRACTThis paper presents an analysis of the collective nucleation of glide dislocation loops under the bias of a high shear stress. It introduces the concept of an ‘induced’ stress field associated with the planar distribution of glide dislocation loops. It shows that, due to the ‘induced’ field, glide dislocations nucleate in a collective, self-catalytic fashion at critical stresses and temperatures.

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49

Eymery, J., F. Fournel, K. Rousseau, et al. "Dislocation Networks Strain Fields Induced By Si Wafer Bonding." MRS Proceedings 673 (2001). http://dx.doi.org/10.1557/proc-673-p6.9.

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ABSTRACTBuried dislocation superlattices are obtained by bonding ultra-thin single crystal Si (001) films on Si (001) wafers. The twist of two Si wafers induces a regular square grid of dissociated screw dislocations and the tilt a 1-D array of mixed dislocation. The Burgers vector is a/2 <110> for both types of dislocation. The atomic displacements and deformations of pure screw and edge dislocations are calculated with an isotropic elasticity approximation taking into account the free surface and the thickness of the upper crystal. It is shown by these calculations that the elastic str

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Zhang, D., and R. C. Picu. "On the Interaction Between Mg Solute Atoms and Dislocations in Al-Mg Binary Alloys." MRS Proceedings 779 (2003). http://dx.doi.org/10.1557/proc-779-w5.1.

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AbstractThe interaction between solute atoms and dislocations is known to lead to negative strain rate sensitivity and poor formability. The negative rate sensitivity causes inhomogeneous flow and the Portevin-LeChatelier (PLC) effect. These observations motivate the present study of the solute-dislocation interaction in binary Al-Mg alloys. We report here on three issues. First, we determine the size and shape of stable Mg clusters at stationary dislocations of edge, 60° and pure screw type. We then evaluate the accuracy with which clustering is predicted by the classical pressure field-solut

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