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Journal articles on the topic 'Elastic-dislocation modelling'

Author: Grafiati

Published: 5 June 2025

Last updated: 24 June 2025

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1

MAUREL, AGNES, VINCENT PAGNEUX, FELIPE BARRA, and FERNANDO LUND. "ULTRASOUND AS A PROBE OF PLASTICITY? THE INTERACTION OF ELASTIC WAVES WITH DISLOCATIONS." International Journal of Bifurcation and Chaos 19, no. 08 (2009): 2765–81. http://dx.doi.org/10.1142/s0218127409024475.

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An overview of recent work on the interaction of elastic waves with dislocations is given. The perspective is provided by the wish to develop nonintrusive tools to probe plastic behavior in materials. For simplicity, ideas and methods are first worked out in two dimensions, and the results in three dimensions are then described. These results explain a number of recent, hitherto unexplained, experimental findings. The latter include the frequency dependence of ultrasound attenuation in copper, the visualization of the scattering of surface elastic waves by isolated dislocations in LiNbO 3, and the ratio of longitudinal to transverse wave attenuation in a number of materials. Specific results reviewed include the scattering amplitude for the scattering of an elastic wave by a screw, as well as an edge, dislocation in two dimensions, the scattering amplitudes for an elastic wave by a pinned dislocation segment in an infinite elastic medium, and the wave scattering by a sub-surface dislocation in a semi-infinite medium. Also, using a multiple scattering formalism, expressions are given for the attenuation coefficient and the effective speed for coherent wave propagation in the cases of anti-plane waves propagating in a medium filled with many, randomly placed screw dislocations; in-plane waves in a medium similarly filled with randomly placed edge dislocations with randomly oriented Burgers vectors; elastic waves in a three-dimensional medium filled with randomly placed and oriented dislocation line segments, also with randomly oriented Burgers vectors; and elastic waves in a model three-dimensional polycrystal, with only low angle grain boundaries modeled as arrays of dislocation line segments.

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2

Volyntsev, A. B. "Computer Modelling of the Dynamics of Space Dislocation Ensembles. I. Non-Elastic Dislocation Approach." physica status solidi (b) 165, no. 2 (1991): 343–54. http://dx.doi.org/10.1002/pssb.2221650204.

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3

Devincre, Benoit, and Ladislas P. Kubin. "The modelling of dislocation dynamics: elastic behaviour versus core properties." Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences 355, no. 1731 (1997): 2003–12. http://dx.doi.org/10.1098/rsta.1997.0102.

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4

liu, F. X., A. C. F. Cocks, and E. Tarleton. "Dislocation dynamics modelling of the creep behaviour of particle-strengthened materials." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 477, no. 2250 (2021): 20210083. http://dx.doi.org/10.1098/rspa.2021.0083.

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Plastic deformation in crystalline materials occurs through dislocation slip and strengthening is achieved with obstacles that hinder the motion of dislocations. At relatively low temperatures, dislocations bypass the particles by Orowan looping, particle shearing, cross-slip or a combination of these mechanisms. At elevated temperatures, atomic diffusivity becomes appreciable, so that dislocations can bypass the particles by climb processes. Climb plays a crucial role in the long-term durability or creep resistance of many structural materials, particularly under extreme conditions of load, temperature and radiation. Here we systematically examine dislocation-particle interaction mechanisms. The analysis is based on three-dimensional discrete dislocation dynamics simulations incorporating impenetrable particles, elastic interactions, dislocation self-climb, cross-slip and glide. The core diffusion dominated dislocation self-climb process is modelled based on a variational principle for the evolution of microstructures, and is coupled with dislocation glide and cross-slip by an adaptive time-stepping scheme to bridge the time scale separation. The stress field caused by particles is implemented based on the particle–matrix mismatch. This model is helpful for understanding the fundamental particle bypass mechanisms and clarifying the effects of dislocation glide, climb and cross-slip on creep deformation.

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5

BARRA, FELIPE, ANDRES CARU, MARIA TERESA CERDA, et al. "MEASURING DISLOCATION DENSITY IN ALUMINUM WITH RESONANT ULTRASOUND SPECTROSCOPY." International Journal of Bifurcation and Chaos 19, no. 10 (2009): 3561–65. http://dx.doi.org/10.1142/s0218127409025006.

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Dislocations in a material will, when present in enough numbers, change the speed of propagation of elastic waves. Consequently, two material samples, differing only in dislocation density, will have different elastic constants, a quantity that can be measured using Resonant Ultrasound Spectroscopy. Measurements of this effect on aluminum samples are reported. They compare well with the predictions of the theory.

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6

Makarov, P. V., and A. Y. Peryshkin. "Modelling of shock wave effects in metals on the basis of a relaxation model with dislocation kinetics of plastic shears." Izvestiya vysshikh uchebnykh zavedenii. Fizika, no. 3 (2022): 131–39. http://dx.doi.org/10.17223/00213411/65/3/131.

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In the range of weak shock waves (before absorption of elastic precursors by the shock wave) the effects of shock wave deformation of aluminum and beryllium alloys are numerically studied by the relaxation model with dislocation kinetics of plastic shear. Both the structure of non-stationary and stationary shock wave profiles are modeled. The plastic flow behind the front of elastic precursors is studied.

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7

Gafurov, Ulmas. "Modelling of Elastic Modulus and Molecular Structure Interrelationship of an Oriented Crystalline Polymer." Solid State Phenomena 139 (April 2008): 119–22. http://dx.doi.org/10.4028/www.scientific.net/ssp.139.119.

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A modeling method is suggested on the basis of measurable structural and deformation parameters to estimate the interrelation between the interconnecting chains over amorphous segments conformation structure distribution and the elastic modulus in tension experimental value for a loaded oriented linear amorphous- crystalline polymer. Macromolecule chain pulling out value of polymer crystallite was defined using the Frenkel-Kontorowa’s dislocation model .

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8

Dee, S. J., G. Yielding, B. Freeman, et al. "Elastic dislocation modelling for prediction of small-scale fault and fracture network characteristics." Geological Society, London, Special Publications 270, no. 1 (2007): 139–55. http://dx.doi.org/10.1144/gsl.sp.2007.270.01.10.

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9

Lin, S., D. A. Hills, and D. Nowell. "Stresses in a flat plate due to a loose pin pressing against a cracked hole." Journal of Strain Analysis for Engineering Design 32, no. 2 (1997): 145–56. http://dx.doi.org/10.1243/0309324971513283.

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The elastic contact stress field caused by a radially loaded pin in a nearly conforming hole is studied. The elastic limit of the configuration is found, together with crack tip stress intensity factors for radial cracks emanating from the bolt hole, the latter using the distributed dislocation approach. A closed-form solution is therefore generated to enable an elastic design philosophy to be followed for both perfect and flawed configurations, providing that there are no nearby boundaries.

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10

Karuppanan, S., and D. A. Hills. "An edge dislocation in a semi-infinite elastic wedge." Journal of Strain Analysis for Engineering Design 43, no. 5 (2008): 307–14. http://dx.doi.org/10.1243/03093247jsa397.

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11

Gurrutxaga-Lerma, Beñat, Daniel S. Balint, Daniele Dini, Daniel E. Eakins, and Adrian P. Sutton. "A dynamic discrete dislocation plasticity method for the simulation of plastic relaxation under shock loading." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 469, no. 2156 (2013): 20130141. http://dx.doi.org/10.1098/rspa.2013.0141.

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In this article, it is demonstrated that current methods of modelling plasticity as the collective motion of discrete dislocations, such as two-dimensional discrete dislocation plasticity (DDP), are unsuitable for the simulation of very high strain rate processes (10 6 s −1 or more) such as plastic relaxation during shock loading. Current DDP models treat dislocations quasi-statically, ignoring the time-dependent nature of the elastic fields of dislocations. It is shown that this assumption introduces unphysical artefacts into the system when simulating plasticity resulting from shock loading. This deficiency can be overcome only by formulating a fully time-dependent elastodynamic description of the elastic fields of discrete dislocations. Building on the work of Markenscoff & Clifton, the fundamental time-dependent solutions for the injection and non-uniform motion of straight edge dislocations are presented. The numerical implementation of these solutions for a single moving dislocation and for two annihilating dislocations in an infinite plane are presented. The application of these solutions in a two-dimensional model of time-dependent plasticity during shock loading is outlined here and will be presented in detail elsewhere.

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12

Wu, Wenwang, Re Xia, Shucai Xu, Guian Qian, and Jinhuan Zhang. "Elastic field of approaching dislocation loop in isotropic bimaterial." Modelling and Simulation in Materials Science and Engineering 23, no. 7 (2015): 075006. http://dx.doi.org/10.1088/0965-0393/23/7/075006.

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13

Alamin, A., and R. Zhang. "MODELLING OF ACOUSTIC EMISSION SOURCE AND WAVE RESPONSE IN LAYERED MATERIALS." Journal of Theoretical and Applied Mechanics 44, no. 1 (2014): 21–44. http://dx.doi.org/10.2478/jtam-2014-0002.

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Abstract This study proposes a model of wave propagation in layered media for the use in acoustic emission (AE) studies. This model aims to find an AE response at a free surface to the propagating waves originating at a dislocation source either in one layer medium or a layer-to-layer interface. Each of the layered media is assumed to be homogenous, linear elastic and isotropic. An integral transformation method has been applied to determine the wave response in frequency-wave number domain, which is then converted to time-space domain. In the numerical examples, we first select truncated values with the finite integral transformation, so that no wave interference happens in the responses from wave reflection at truncated boundaries. Next, we simulate wave propagation in an elastic half space, and compare results obtained with that from other kind bottom boundary. Next, we introduce a dis- location source in interface and compare a simulated AE wave response obtained with that computed in the layered medium to demonstrate the performance of the model. In each simulation, the results show good agreement with the reference solutions.

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14

Chu, Haijian, and Ernian Pan. "Elastic fields due to dislocation arrays in anisotropic bimaterials." International Journal of Solids and Structures 51, no. 10 (2014): 1954–61. http://dx.doi.org/10.1016/j.ijsolstr.2014.02.001.

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15

Chu, H. J., E. Pan, J. Wang, and I. J. Beyerlein. "Three-dimensional elastic displacements induced by a dislocation of polygonal shape in anisotropic elastic crystals." International Journal of Solids and Structures 48, no. 7-8 (2011): 1164–70. http://dx.doi.org/10.1016/j.ijsolstr.2010.12.015.

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16

Katanaev, M. O. "Rotational elastic waves in a cylindrical waveguide with wedge dislocation." Journal of Physics A: Mathematical and Theoretical 49, no. 8 (2016): 085202. http://dx.doi.org/10.1088/1751-8113/49/8/085202.

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17

de Michele, Marcello, Pierre Briole, Daniel Raucoules, Anne Lemoine, and Alexis Rigo. "Revisiting the shallow Mw5.1 Lorca earthquake (southeastern Spain) using C-band InSAR and elastic dislocation modelling." Remote Sensing Letters 4, no. 9 (2013): 863–72. http://dx.doi.org/10.1080/2150704x.2013.808777.

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18

Sato, Dye S. K., Pierre Romanet, and Ryosuke Ando. "Paradox of modelling curved faults revisited with general non-hypersingular stress Green’s functions." Geophysical Journal International 223, no. 1 (2020): 197–210. http://dx.doi.org/10.1093/gji/ggaa172.

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SUMMARY In a dislocation problem, a paradoxical discordance is known to occur between an original smooth curve and an infinitesimally discretized curve. To solve this paradox, we have investigated a non-hypersingular expression for the integral kernel (called the stress Green’s function) which describes the stress field caused by the displacement discontinuity. We first develop a compact alternative expression of the non-hypersingular stress Green’s function for general 2-D and 3-D infinite homogeneous elastic media. We next compute the stress Green’s functions on a curved fault and revisit the paradox. We find that previously obtained non-hypersingular stress Green’s functions are incorrect for curved faults, and that smooth and infinitesimally segmented faults are equivalent. Their compatibility bridges the gap between analytical methods featuring curved faults and numerical methods using subdivided flat patches.

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19

Shiue, Sham-Tsong, Tong-Yi Zhang, and Sanboh Lee. "Elastic analysis of an edge dislocation and two collinear cracks of different length." International Journal of Fracture 68, no. 4 (1995): 333–50. http://dx.doi.org/10.1007/bf00033960.

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20

Aubry, S., and A. Arsenlis. "Use of spherical harmonics for dislocation dynamics in anisotropic elastic media." Modelling and Simulation in Materials Science and Engineering 21, no. 6 (2013): 065013. http://dx.doi.org/10.1088/0965-0393/21/6/065013.

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21

Kolesnikova, A. L., M. Yu Gutkin, S. A. Krasnitckii, and A. E. Romanov. "Circular prismatic dislocation loops in elastic bodies with spherical free surfaces." International Journal of Solids and Structures 50, no. 10 (2013): 1839–57. http://dx.doi.org/10.1016/j.ijsolstr.2013.02.012.

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22

Bonifaz, E. A., A. Alban, and A. Czekanski. "Finite Element Analysis of Cylindrical Inclusions in Polycrystalline Nickel Alloys." Journal of Multiscale Modelling 09, no. 02 (2018): 1850003. http://dx.doi.org/10.1142/s1756973718500038.

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Inspired by nanotubes, a 3D finite element model was developed to simulate the influence of cylindrical inclusions on the polycrystalline mechanical behavior of Nickel alloys. A dislocation based strain hardening model, constructed in the so-called Kocks–Mecking framework, is used as the main strategy for the constitutive modeling of individual bulk grains. To determine the influence of the inclusions distribution, the direction of applied load and the size of the matrix phase on the inelastic stress–strain distribution, the digital microstructure code DREAM.3D was coupled to ABAQUS[Formula: see text] finite element code through a MatLab[Formula: see text] program. Four affordable computational representative volume elements (RVEs) meshes of two different edge sizes and two different inclusion distributions were tested to investigate the relation between micro and macro deformation and stress variables. The virtual specimens, subjected to continuous monotonic strain loading conditions, were constrained with random periodic boundary conditions. The difference in crystallographic orientation, which evolves in the process of straining, and the incompatibility of deformation between neighboring grains were accounted for by the introduction of single crystal averaged Taylor factors, single crystal Young’s modulus, single phase elastic modulus and the evolution of geometrically necessary dislocation density. The effects of single crystal Young’s modulus, inclusion distribution and direction of the applied load upon the aggregate local response are clearly observed. Results demonstrate a strong dependence of flow stress and plastic strain on phase type, Young’s modulus values and direction of the applied load, but slightly on matrix grain size. The stress–strain curve extension and the variation in the elastic limit of the individual inclusions depend on the inclusion-matrix Young’s modulus difference and applied load direction. The difference in curve extension and the difference in elastic limit decrease as the Young’s modulus of the single crystal inclusion approach the Young’s modulus of the matrix majoritary phase, while the resistance to flow increases when the applied load is perpendicular to the inclusion longitudinal axis.

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23

Fang, Xiangfan. "A new method for determination of plastic deformation properties at high strain rate and its modelling." EPJ Web of Conferences 250 (2021): 01010. http://dx.doi.org/10.1051/epjconf/202125001010.

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The determination of material properties under high speed loading is a challenge. The system ringing in a conventional servo-hydraulic tensile testing machine deteriorates the quality of force measurement, which makes a precise determination of yield locus, strain hardening and fracture strain difficult. In this work, the system ringing effect of the entire tensile testing system were analyzed. It was determined that the ringing of the system is location and geometry dependent. A new type of tensile sample has been developed. Beside of the usual major plastic deformation area, it has an additional elastic area, within which a locally restricted secondary minor plastic deformation takes place. This very small plastic deformation absorbs the elastic vibrations in this area. Therefore, the deformation forces can be measured by strain gauge without any ringing effect. The plastic deformation behavior of materials can be determined for a wide range of strain rate of 0.0001 - 1000 /s exactly. To explain the functionality and the physical background of the new sample, based on the equations for one-dimensional stress waves and theory of the stress wave attenuation due to dislocation motions, a simplified beam model with analytical formulations could be established und programmed in MATLAB. Verifications show a good prediction of sample geometry using this simplified model.

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24

Liu, Peng, Benjamin Eberhardt, Christian Wybranski, Jens Ricke, and Lutz Lüdemann. "Nonrigid 3D Medical Image Registration and Fusion Based on Deformable Models." Computational and Mathematical Methods in Medicine 2013 (2013): 1–10. http://dx.doi.org/10.1155/2013/902470.

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For coregistration of medical images, rigid methods often fail to provide enough freedom, while reliable elastic methods are available clinically for special applications only. The number of degrees of freedom of elastic models must be reduced for use in the clinical setting to archive a reliable result. We propose a novel geometry-based method of nonrigid 3D medical image registration and fusion. The proposed method uses a 3D surface-based deformable model as guidance. In our twofold approach, the deformable mesh from one of the images is first applied to the boundary of the object to be registered. Thereafter, the non-rigid volume deformation vector field needed for registration and fusion inside of the region of interest (ROI) described by the active surface is inferred from the displacement of the surface mesh points. The method was validated using clinical images of a quasirigid organ (kidney) and of an elastic organ (liver). The reduction in standard deviation of the image intensity difference between reference image and model was used as a measure of performance. Landmarks placed at vessel bifurcations in the liver were used as a gold standard for evaluating registration results for the elastic liver. Our registration method was compared with affine registration using mutual information applied to the quasi-rigid kidney. The new method achieved 15.11% better quality with a high confidence level of 99% for rigid registration. However, when applied to the quasi-elastic liver, the method has an averaged landmark dislocation of 4.32 mm. In contrast, affine registration of extracted livers yields a significantly () smaller dislocation of 3.26 mm. In conclusion, our validation shows that the novel approach is applicable in cases where internal deformation is not crucial, but it has limitations in cases where internal displacement must also be taken into account.

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25

Yin, Jie, D. M. Barnett, S. P. Fitzgerald, and Wei Cai. "Computing dislocation stress fields in anisotropic elastic media using fast multipole expansions." Modelling and Simulation in Materials Science and Engineering 20, no. 4 (2012): 045015. http://dx.doi.org/10.1088/0965-0393/20/4/045015.

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26

ΔΡΑΚΟΣ, Α. Γ., and Σ. Κ. ΣΤΕΙΡΟΣ. "The AD 365 earthquake. From legend to modelling." Bulletin of the Geological Society of Greece 34, no. 4 (2001): 1417. http://dx.doi.org/10.12681/bgsg.17235.

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A major earthquake shook the entire East Mediterranean region on July 21st AD 365; numerous cities were completely ruined or seriously damaged, while a tsunami that followed destroyed the Nile Delta. This disaster impressed ancient writers for more than 1000 years and it turned to a legend. Despite the fact that the AD 365 earthquake is probably the greatest one that took place in the East Mediterranean region in the historic period, it has not been studied in detail. The main reason is that the historical data are poor, ambiguous and contradictory, and do not permit any secure seismological conclusions. Yet, many workers have concluded that this earthquake was associated with a fault along the Hellenic Arc, SW of Crete, in agreement with geomorphological, biological and radiometric data indicating that the western part of the island was uplifted by up to 9m by an earthquake in the 4th century AD. New archaeological data permit to shed more light to this earthquake and to identify its meizoseismal area, extending from western Cyprus to the Libyan coasts. Furthermore, an elastic dislocation analysis of the earthquake uplift, deduced from coastal data, permits to conclude that the causative fault was an east-west striking inverse fault at least 100km long, southwest of Crete, associated with an earthquake of magnitude of the order of M=8.5-8.7.

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27

El-Azab, A., and N. M. Ghoniem. "Green's function for the elastic field of an edge dislocation in a finite orthotropic medium." International Journal of Fracture 61, no. 1 (1993): 17–37. http://dx.doi.org/10.1007/bf00032337.

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28

Dirand, Laura, Alain Jacques, Jean Philippe Chateau, Thomas Schenk, Olivier Ferry, and Pierre Bastie. "Diffraction Profile, Strain Distribution and Dislocation Densities during Stage II Creep of a Superalloy." Advanced Materials Research 278 (July 2011): 37–41. http://dx.doi.org/10.4028/www.scientific.net/amr.278.37.

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One of the major ingredients of modelling the mechanical behaviour of superalloys is the knowledge of dislocation densities and strain distribution. Both can be measured using post mortem BF TEM and CBED, but such methods do not allow following their variations during a test. The aim of the present work is to investigate the usefulness of in situ X-Ray Three Crystal Diffractometry (TCD) to measure the density and distribution of dislocations within a rafted superalloy, i.e. during stage II of high temperature creep. As the instrument contribution is very low, the two-peaked experimental profiles are representative of the lattice parameter distribution within the material. The profiles were measured within bulk specimens at the BW5 high energy beamline Hasylab (DESY), during high temperature (1050°C to 1180°C) tests under loads between 0 MPa and 300 MPa. The peak shapes were observed to change with varying experimental conditions. The peak width follows different patterns under low and high stress, i.e. with low and high strain rates. The distribution of elastic strains was calculated by assuming two main contributions: dislocation segments trapped at the γ/γ’ interfaces in a more or less regular network, and dislocations moving within the γ’ rafts. A comparison between experimental and simulated peaks shows that several features of their behaviour can be explained: the absolute magnitude of the peak width, the observed decrease of the peak width under low loads with increasing interfacial dislocation densities. The larger increase in the width of the γ’ peak under high load (and strain rate) may be attributed to a dislocation density within the 1013 m-2 range within the rafts. The present results are presently being cross-checked by post mortem TEM observations.

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29

Liu, Y. W., and Q. H. Fang. "Electro-elastic interaction between a piezoelectric screw dislocation and circular interfacial rigid lines." International Journal of Solids and Structures 40, no. 20 (2003): 5353–70. http://dx.doi.org/10.1016/s0020-7683(03)00287-7.

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30

Chen, C., S. Aubry, T. Oppelstrup, A. Arsenlis, and E. Darve. "Fast algorithms for evaluating the stress field of dislocation lines in anisotropic elastic media." Modelling and Simulation in Materials Science and Engineering 26, no. 4 (2018): 045007. http://dx.doi.org/10.1088/1361-651x/aab7bb.

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31

Frontera, T., A. Concha, P. Blanco, et al. "DInSAR Coseismic Deformation of the May 2011 M<sub>w</sub> 5.1 Lorca Earthquake (southeastern Spain)." Solid Earth 3, no. 1 (2012): 111–19. http://dx.doi.org/10.5194/se-3-111-2012.

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Abstract. The coseismic superficial deformation at the region of Lorca (Murcia, southeastern Spain) due to the Mw 5.1 earthquake on 11 May 2011 was characterized by a multidisciplinary team, integrating information from DInSAR, GPS and numerical modelling techniques. Despite the moderate magnitude of the event, quantitative information was obtained from the interferometric study of a pair of TerraSAR-X images. The DinSAR results defined the trace of the fault plane and evidenced uplift of the hanging wall block in agreement with the estimated deformation obtained through an elastic rupture dislocation numerical model. Meanwhile for the footwall block, interferometric results showed that tectonic deformation is masked by an important subsidence related to groundwater extraction previously identified at the area of study. Horizontal crustal deformation rates and velocity vectors, obtained from GPS stations existent at the area, were also coherent with the tectonic setting of the southern margin of the Iberian Peninsula and with the focal mechanism calculated for the Lorca event. The analysis of a continuous GPS site in Lorca showed good agreement with the horizontal N–S direction component relative to the numerical model and tectonics of the region. This is the first time at this seismic active area that a multi-technique analysis has been performed immediately after the occurrence of a seismic event, comparing the existing deformation data with a theoretical numerical model based on estimated seismic rupture dislocation.

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32

Wu, Kuang-Chong. "Transient motion of an interfacial line force or dislocation in an anisotropic elastic bimaterial." International Journal of Solids and Structures 40, no. 8 (2003): 1811–23. http://dx.doi.org/10.1016/s0020-7683(03)00036-2.

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33

Tsuru, Tomohito, and Yoji Shibutani. "Atomistic simulations of elastic deformation and dislocation nucleation in Al under indentation-induced stress distribution." Modelling and Simulation in Materials Science and Engineering 14, no. 5 (2006): S55—S62. http://dx.doi.org/10.1088/0965-0393/14/5/s07.

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34

Langhi, Laurent, Bozkurt Ciftci, and Julian Strand. "Constraining fluid migration in low density data area: successful use of integrated modelling in the Southern Perth Basin." APPEA Journal 54, no. 2 (2014): 534. http://dx.doi.org/10.1071/aj13107.

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Constraining trap integrity or CO2 containment potential in areas with low density of data is challenging. We show here how the integration of hard data and modelling improved our understanding of the subsurface tectonic and stratigraphic architecture and ensured an initial definition of hydraulic behaviour of faults and fractures in the onshore Southern Perth Basin. A first-order geomodel was built based on interpretation of low-density 2D-seismic data and constrained by well, geophysical, and outcrop data. Forward stratigraphic models were deformed and implemented in the geomodel to predict the distribution of the phyllosilicate content. Membrane fault-seal prediction was performed based on the Shale Gouge Ratio algorithm to estimate the lateral migration potential. Characterisation of the stress state of fault planes was used to define the likelihood of reactivation and to predict vertical migration and caprock bypass. The elastic dislocation method was used to model the density and mode of failure of subsidiary sub-seismic faults that can impact on the caprock integrity. This was also used to constrain and validate the structural model. The integrated modelling significantly decreased uncertainties on the subsurface architecture and ensured the first-order definition of the CO2 migration and containment potential for the Wonnerup reservoir in the SW Hub. The maximum CO2 column heights supported by faults and potential leak points were estimated and migration scenarios and risks were defined.

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35

Capolungo, L., I. J. Beyerlein, and Z. QWang. "The role of elastic anisotropy on plasticity in hcp metals: a three-dimensional dislocation dynamics study." Modelling and Simulation in Materials Science and Engineering 18, no. 8 (2010): 085002. http://dx.doi.org/10.1088/0965-0393/18/8/085002.

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36

Seyitoglu, Gurol, Bahadir Aktug, Korhan Esat, and Bulent Kaypak. "Neotectonics of Turkey (Türkiye) and surrounding regions: a new perspective with block modelling." Geologica Acta 20 (April 28, 2022): 1–21. http://dx.doi.org/10.1344/geologicaacta2022.20.4.

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This paper aims to present a new neotectonic perspective concordant with the seismic activities in Turkey and surrounding regions. The neotectonic structures have been re-evaluated mainly by using focal mechanism solutions and high-resolution satellite (Google Earth) images. The Southeast Anatolian Wedge explains thrust/blind thrust and asymmetrical folding relationship in SE Turkey, Syria, and Northern Iraq. The neotectonic structures of the Turkish-Iranian Plateau are enlightened by the rhomboidal cell model which creates a base to determine multiple intersection points between the region-wide left- and right-lateral shear zones. The releasing stepover between the North Anatolian Fault Zone and Southeast Anatolian-Zagros Fault Zone plus their connections with the Northeast Anatolian Fault Zone and the East Anatolian Fault Zone are described in a more meaningful way with the Anatolian Diagonal concept. It also clarifies the role of left-lateral shear zone in the west-southwest movement of Anatolian plate and its relationship with the Aegean and Cyprus arcs. A neotectonic region under the influence of NW-SE contraction is determined between the North Anatolian, Eskişehir, and Kırıkkale-Erbaa fault zones in which the Elmadağ-Eldivan and Abdüsselam pinched crustal wedges and the Beypazarı Blind Thrust Zone are developed. A new route for the southern branch of the North Anatolian Fault Zone is determined between Bolu and Değirmenlik (Milos) Island in the Aegean Sea via Mudurnu, Bursa, Balıkesir, and İzmir. All main neotectonic structures mentioned in this paper are evaluated by the elastic dislocation modelling and new neotectonic provinces are suggested.

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37

Nowell, D., D. Dini, and P. Duó. "Stress analysis of V-notches with and without cracks, with application to foreign object damage." Journal of Strain Analysis for Engineering Design 38, no. 5 (2003): 429–41. http://dx.doi.org/10.1243/03093240360713487.

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Gas turbine engines can be subject to ingestion of small hard particles, leading to foreign object damage. This can take the form of sharp V-notches in the leading edge of blades and there is a need to predict the initiation and propagation behaviour of fatigue cracks growing from the base of the notch. The notch geometry is quite extreme and is not normally covered in standard references for notch stress concentration factors. Similarly, stress intensity factor solutions for this geometry are not widely available. This paper uses the dislocation density approach to solve the two-dimensional elastic problem of a V-notch with a radiused root. Stress concentration factors are found for the notch itself, and stress intensity factors are determined for cracks growing away from the notch for cases of applied and residual stress distributions. Comparisons are made with existing notch solutions from the literature.

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38

Yuan, J. H., E. Pan, and W. Q. Chen. "Line-integral representations for the elastic displacements, stresses and interaction energy of arbitrary dislocation loops in transversely isotropic bimaterials." International Journal of Solids and Structures 50, no. 20-21 (2013): 3472–89. http://dx.doi.org/10.1016/j.ijsolstr.2013.06.017.

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Chen, Xiaolei, Thiebaud Richeton, Christian Motz, and Stéphane Berbenni. "Elastic fields due to dislocations in anisotropic bi- and tri-materials: Applications to discrete dislocation pile-ups at grain boundaries." International Journal of Solids and Structures 164 (June 2019): 141–56. http://dx.doi.org/10.1016/j.ijsolstr.2019.01.020.

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Ouyang, Chaojun, Zhenhuan Li, Minsheng Huang, and Haidong Fan. "Cylindrical nano-indentation on metal film/elastic substrate system with discrete dislocation plasticity analysis: A simple model for nano-indentation size effect." International Journal of Solids and Structures 47, no. 22-23 (2010): 3103–14. http://dx.doi.org/10.1016/j.ijsolstr.2010.07.012.

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Hallbäck, N., and M. W. Tofique. "Development of a distributed dislocation dipole technique for the analysis of multiple straight, kinked and branched cracks in an elastic half-plane." International Journal of Solids and Structures 51, no. 15-16 (2014): 2878–92. http://dx.doi.org/10.1016/j.ijsolstr.2014.04.011.

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42

Yuan, J. H., W. Q. Chen, and E. Pan. "Line-integral representations of the displacement and stress fields due to an arbitrary Volterra dislocation loop in a transversely isotropic elastic full space." International Journal of Solids and Structures 50, no. 1 (2013): 160–75. http://dx.doi.org/10.1016/j.ijsolstr.2012.09.011.

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43

Kolesnikova, Anna L., and Alexey E. Romanov. "Representations of elastic fields of circular dislocation and disclination loops in terms of spherical harmonics and their application to various problems of the theory of defects." International Journal of Solids and Structures 47, no. 1 (2010): 58–70. http://dx.doi.org/10.1016/j.ijsolstr.2009.09.014.

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44

Dichtl, Claudius, David Lunt, Rhys Thomas та ін. "Understanding strain localisation behaviour in a near-α Ti-alloy during initial loading below the yield stress". MATEC Web of Conferences 321 (2020): 11039. http://dx.doi.org/10.1051/matecconf/202032111039.

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Near-α Ti-alloys such as TIMETAL® 834 are known for their superior mechanical properties at high temperature, and as such are found in applications where high strength and improved fatigue performance at elevated temperatures (>450°C) are required. However, these alloys can be susceptible to cold-dwell fatigue; a failure mechanism that is not well understood. The present work investigates the strain localisation behaviour during cold creep and the implications it has in terms of dwell susceptibility for two different bi-modal microstructures. Slip traces and strain distributions have been analysed for different material conditions by employing High-Resolution Digital Image Correlation (HRDIC) in combination with orientation mapping. Using this approach, it was possible to distinguish deformation patterns in primary α grains and transformed-β colonies, loaded incrementally to stress levels of 70%, 80% and 90% of the yield stress. Different prior β-grain morphologies didn’t affect the average strains when stresses are low; but strain distributions have been affected by the β-grain morphology. Material with coarse transformation product accumulated larger amounts of plastic strain compared to material with fine transformation product, at the same relative stress levels. At low stress levels, slip bands have been detected both in primary α, as well in the transformed-β phase, cutting through the lamellae, for the material condition with a coarse transformation product; on the other hand, for the material conditions with a fine transformation product, slip bands are localised only in primary α grains at low stress levels. It was also found for both conditions that at low stress levels slip bands are found in grains that are well oriented for basal slip. Based on these observations it is discussed if b-ligaments are significant obstacles to dislocation movement. Finally, the requirement of crystal-plasticity modelling to take into account differences in crystallographic orientations and the elastic and plastic anisotropy of HCP-titanium will be discussed and considered.

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He, Kefeng, Caijun Xu, and Yangmao Wen. "Coseismic and early post-seismic deformations due to the 2019 earthquake sequence in Ridgecrest, California." Geophysical Journal International 230, no. 2 (2022): 957–75. http://dx.doi.org/10.1093/gji/ggac103.

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SUMMARY The 2019 Ridgecrest earthquake sequence in the Mojave Desert that ruptured a complex orthogonal conjugate fault system offers a rare opportunity to probe the mechanics of the intraplate lithosphere of the central eastern California shear zone (ECSZ). We used space geodetic data to investigate the coseismic and post-seismic deformations attributable to this earthquake sequence. A triangular dislocation inversion scheme was used to derive the coseismic and post-seismic slip distributions on five non-planar faults in a homogeneous elastic crust. A wide range of viscoelastic relaxation models with varying upper mantle viscosities were also tested to constrain the rheological structure. The inferred coseismic slip exhibited a pronounced (approximately 60 per cent) shallow slip deficit (SSD), only a small proportion of which was recovered by early aseismic afterslip. Inversions of GPS and InSAR data suggest that the near-field post-seismic transient was dominated by afterslip at depths of 3–8 km. Viscosity modelling yielded a robust lower bound of approximately 8.0 × 1017 Pa s on the viscosity of the upper mantle. Both the GPS observations and the modelled viscosity at each individual station showed a lateral heterogeneous relaxation process on both northeast and southwest ECSZ. The effective viscosity of the mantle asthenosphere to the northeast was inferred to be approximately two times lower than that to the southwest, which is consistent with the pattern expected for regional heat flow. A comparison among the static coseismically induced Coulomb stress changes, the cumulative distribution of aftershocks and the afterslip distribution suggests that aftershocks and shallow afterslip could be responses to coseismically induced stresses, but the aftershock and afterslip distribution are poorly correlated. We argue that the pronounced SSD and lack of shallow afterslip during the Ridgecrest earthquake sequence are indicative of an immature fault. Furthermore, we suggest similar rheological structures for the southern and central ECSZ and infer a relatively low effective viscosity for the mantle to the northeast because of its high heat flow. We also propose that the afterslip may illuminate the rate-strengthening regions that mostly slip aseismically, but the aftershocks may illuminate fluid-saturated areas near ruptures.

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Chen, Jianlong, Yu Zhou, Gan Chen, and Ming Hao. "Decades of Ground Deformation in the Weihe Graben, Shaanxi Province, China, in Response to Various Land Processes, Observed by Radar Interferometry and Levelling." Remote Sensing 13, no. 12 (2021): 2374. http://dx.doi.org/10.3390/rs13122374.

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Ground deformation is usually used as direct evidence for early warning of geological hazards. The Weihe Graben, located in the southern margin of the Ordos Plateau, is surrounded by many active faults. Earthquakes (e.g., the 1556 Huaxian M 8 earthquake), mine accidents and ground fissures are the major hazards that pose great threats to this densely populated region. In order to characterise both tectonic and anthropogenic activities in the Weihe Graben, we use Envisat data from 2003 to 2010 and Sentinel-1 data from 2014 to 2021, combined with levelling data from 1970 to 2014, to investigate the long-term ground deformation. We generate four InSAR rate maps using the small-baseline subset (SBAS) algorithm. The uncertainties of the InSAR rates are 1–2 mm/year by calculating the differences between the InSAR and levelling measurements. From the deformation time series, we found that most of the faults surrounding the Weihe Graben move at a relatively slow rate (<3 mm/year). Elastic dislocation modelling based on the InSAR and levelling data yields a slip rate of 2.3 ± 0.3 mm/year for the Huashan Fault, the seismogenic fault for the 1556 Huaxian earthquake. Anthropogenic deformation is much stronger than the tectonic deformation. We identified localised subsidence of 12 mines with a deformation rate ranging from 5 to 17 mm/year. The cities of Xi’an and Xianyang also show evident subsidence, which is likely to be caused by groundwater extraction. Land subsidence in Xi’an has slowed down from an average rate of 10–20 mm/year between 2003 and 2010 to about 5–10 mm/year between 2017 and 2020, but in Xianyang, subsidence has increased dramatically in the past five years from 1 mm/year to 7 mm/year. This is because new industrial and urban development centres have gradually moved from Xi’an to Xianyang. We identified a region bounded by the Kouzhen-Guanshan and Fufeng-Liquan Faults with strong subsidence, as a result of excessive extraction of groundwater. To quantify the effects of crustal groundwater unloading on faults, we calculated the static Coulomb stress changes on the two faults and found that Coulomb stress changes are localised in the upper 5 km with a magnitude of 0.01–0.02 bar/year. The Coulomb stress changes might be large enough (0.1 bar) to affect local seismicity if such excessive extraction of groundwater continued for 10 years.

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47

Blomerus, P. M., and D. A. Hills. "Modelling plasticity in finite bodies containing stress concentrations by a distributed dislocation method." Journal of Strain Analysis for Engineering Design 33, no. 4 (1998): 315–26. http://dx.doi.org/10.1243/0309324981513020.

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An efficient method for the analysis of limited plasticity at stress raising features such as notches and holes in finite bodies has been developed. A network of stationary dislocations is used to simulate the plasticity and simple constant displacement boundary elements form the borders of the geometries. The notch or hole itself is implicitly included in the formulation by using specialized kernels for these features in an infinite plane, thereby improving the numerical efficiency. The cyclic plastic behaviour of an edge-notch in an infinite plane and a finite rectangular plate are analysed under elastic-perfectly plastic, plane strain conditions. Examples of the resulting stress state after stress redistribution and plastic shakedown are displayed which aid in the reliable prediction of component life.

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48

Zaiser, Michael. "Statistical aspects of microplasticity: experiments, discrete dislocation simulations and stochastic continuum models." Journal of the Mechanical Behavior of Materials 22, no. 3-4 (2013): 89–100. http://dx.doi.org/10.1515/jmbm-2012-0006.

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AbstractThe plastic deformation properties of microscale and nanoscale specimens differ from those of their macroscopic counterparts as the discrete nature of the elementary processes governing plastic flow becomes directly visible. In such specimens, details of the initial defect microstructure may exert a strong influence on the recorded deformation behaviour, which accordingly exhibits significant scatter even amongst specimens that share an identical preparation history. The plasticity of microsamples appears as a sequence of spatially and temporally localised events and not as the smooth and continuous flow process envisaged by classical continuum elastoplasticity. These observations pose a significant challenge to constitutive modelling. In this feature article, we discuss the statistics of fluctuations in microscale and nanoscale plasticity and discuss the implications for computational modelling of plastic deformation processes on microscale and nanoscales. We propose a new type of constitutive models that combine a classical continuum description of the elastic problem with a stochastic description of the dynamics of plastic flow.

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49

Devincre, Benoit, and Vassilis Pontikis. "Computer Modelling of Dynamically-Induced Dislocation Patterning." MRS Proceedings 291 (January 1, 1992). http://dx.doi.org/10.1557/proc-291-555.

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ABSTRACTThe evolution of a random and initially homogeneous distribution of parallel and infinitely extended edge dislocations is studied by using elastic energy minimization without and in presence of a periodic external stress, τa. During the energy minimization without external stress (relaxation), randomly distributed dislocation dipoles are formed whereas, when the external stress is acting, the dislocations condense in walls. We investigated the spatial periodicity of this microstructure, λ, as a function of, τa, and of the total dislocation density. The elastic energy of the stress-induced microstructure is found to be comparable to the value obtained by relaxation. Thereby, emphasis is given to the dynamical character of patterning. A phenomenological model has been developed, explaining the correlation between λ and τa found in the simulations and comparing favorably with existing experimental data.

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Long, Daniel J., Yang Liu, Chris D. Hardie, and Fionn Dunne. "Synergistic coupling of thermomechanical loading and irradiation damage in Zircaloy-4." Modelling and Simulation in Materials Science and Engineering, March 7, 2024. http://dx.doi.org/10.1088/1361-651x/ad312b.

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Abstract This work addresses in-situ synergistic irradiation and thermomechanical loading of nuclear reactor components by linking new mechanistic understanding with crystal plasticity finite element modelling to describe the formation and thermal and mechanical annihilation of dislocation loops. A model of pressurised reactor cladding is constructed to extract realistic boundary conditions for crystal plasticity microstructural sub-modelling. Thermomechanical loads are applied to the sub-model to investigate (i) the unirradiated state, (ii) synergistic coupling of irradiation damage and thermal annihilation of dislocation loops, (iii) synergistic coupling of irradiation damage without thermal annihilation of dislocation loops, and (iv) a post-irradiated state. Results demonstrate that the synergistic coupling of irradiation damage and thermomechanical loads leads to the early onset of plasticity, which is exacerbated by the thermal annihilation of dislocations, while the post-irradiated case remains predominantly elastic due to substantial irradiation hardening. It is shown that full synergistic coupling leads to localisation of quantities linked with crack nucleation including geometrically necessary dislocations and stress.&#xD;

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