Academic literature on the topic 'Dislocation field mechanics'

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Journal articles on the topic "Dislocation field mechanics"

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 structures, such as body-centred cubic metals, and two-phase materials, including free surfaces, voids and bi-metallic crystals. With several examples we demonstrate that the PFDD model is a powerful and versatile method that can bridge the length and time scales between atomistic and continuum-scale methods, providing a much needed understanding of deformation mechanisms in the mesoscale regime.
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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 translational and rotational discontinuities provide a dynamic framework for dislocation and disclination motion in terms of transport relationships. Plasticity of the body is therefore viewed as being mediated by both dislocation and disclination motion. The driving forces for these motions are identified from the mechanical dissipation, which provides guidelines for the admissible constitutive relations. On this basis, the theory is expressed as a set of partial differential equations where the unknowns are the material displacement and the dislocation and disclination density fields. The theory is applied in cases where rotational defects matter in the structure and deformation of the body, such as grain boundaries in polycrystals and grain boundary-mediated plasticity. Characteristic examples are provided for the grain boundary structure in terms of periodic arrays of disclination dipoles and for grain boundary migration under applied shear.
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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 H ‖ a-b. In addition to these dislocations, 〈301〉 type partial dislocations are found to be present in isostatically deformed samples. The strain field around these dislocations is considered to be an additional source of pinning in the intermediate field orientations.
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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 dislocations pile-up against interfaces. The average spacing of slip planes provides a characteristic length for the theory. The physical interpretation of the free energy includes the error in elastic interaction energies resulting from coarse representation of dislocation density fields. Continuum kinematics is determined by the fact that dislocation pile-ups have singular distribution, which allows us to represent the dense dislocation field at the boundary as a superdislocation, i.e., the jump in the slip filed. Associated with this jump is a slip-dependent interface energy, which in turn, makes this formulation suitable for analysis of interface relaxation mechanisms.
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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, the analysis and calculation show that in the three-phase model the orientation of Burgers vector has only limited influence on the stability of dislocation. This behavior is pronouncedly different from that predicted by the two-phase model.
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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 ensemble of the difference between the stress on dislocation lines and the local mean field stress in the crystal. The latter is established in a piecewise fashion over small voxels in the crystal thus allowing the difference between the local average stress and stress on segments to be easily estimated. The results show that the Schmid stress (resolved shear stress) and Escaig stress fluctuations on various slip systems sampled over a random set of points follow a Cauchy (Lorentz) distribution at all strain levels, with the amplitude and width of the distribution being dependent on the strain. The implications of the Schmid and Escaig internal stress fluctuations are discussed from the points of view of dislocation cross-slip and the dislocation motion in continuum dislocation dynamics.
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