Academic literature on the topic 'Elastic-dislocation modelling'

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Journal articles on the topic "Elastic-dislocation modelling"

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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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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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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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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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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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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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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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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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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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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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Dissertations / Theses on the topic "Elastic-dislocation modelling"

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Clark, Nicholas William. "Three-dimensional structural restoration of extensional fault displacements using elastic dislocation theory." Thesis, University of Liverpool, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.366486.

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Chaloupka, Ondrej. "Modelling evolution of anisotropy in metals using crystal plasticity." Thesis, Cranfield University, 2013. http://dspace.lib.cranfield.ac.uk/handle/1826/8435.

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Many metals used in modern engineering exhibit anisotropy. A common assumption when modelling anisotropic metals is that the level of anisotropy is fixed throughout the calculation. As it is well understood that processes such as cold rolling, forging or shock loading change the level of anisotropy, it is clear that this assumption is not accurate when dealing with large deformations. The aim of this project was to develop a tool capable to predict large deformations of a single crystal or crystalline aggregate of a metal of interest and able to trace an evolution of anisotropy within the material. The outcome of this project is a verified computational tool capable of predicting large deformations in metals. This computational tool is built on the Crystal Plasticity Finite Element Method (CPFEM). The CPFEM in this project is an implementation of an existing constitutive model, based on the crystal plasticity theory (the single crystal strength model), into the framework of the FEA software DYNA3D® . Accuracy of the new tool was validated for a large deformation of a single crystal of an annealed OFHC copper at room temperature. The implementation was also tested for a large deformation of a polycrystalline aggregate comprised of 512 crystals of an annealed anisotropic OFHC copper in a uniaxial compression and tension test. Here sufficient agreement with the experimental data was not achieved and further investigation was proposed in order to find out the cause of the discrepancy. Moreover, the behaviour of anisotropic metals during a large deformation was modelled and it was demonstrated that this tool is able to trace the evolution of anisotropy. The main benefit of having this computational tool lies in virtual material testing. This testing has the advantage over experiments in time and cost expenses. This tool and its future improvements, which were proposed, will allow studying evolution of anisotropy in FCC and BCC materials during dynamic finite deformations, which can lead to current material models improvement.
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Book chapters on the topic "Elastic-dislocation modelling"

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Tanaka, Yoshiyuki, Volker Klemann, and Zdeněk Martinec. "An Estimate of the Effect of 3D Heterogeneous Density Distribution on Coseismic Deformation Using a Spectral Finite-Element Approach." In International Association of Geodesy Symposia. Springer Berlin Heidelberg, 2023. http://dx.doi.org/10.1007/1345_2023_236.

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AbstractThe advancement of the Global Geodetic Observing System (GGOS) has enabled monitoring of mass transport and solid-Earth deformation processes with unprecedented accuracy. Coseismic deformation is modelled as an elastic response of the solid Earth to an internal dislocation. Self-gravitating spherical Earth models can be employed in modelling regional to global scale deformations. Recent seismic tomography and high-pressure/high-temperature experiments have revealed finer-scale lateral heterogeneities in the elasticity and density structures within the Earth, which motivates us to quantify the effects of such finer structures on coseismic deformation. To achieve this, fully numerical approaches including the Finite Element Method (FEM) have often been used. In our previous study, we presented a spectral FEM, combined with an iterative perturbation method, to consider lateral heterogeneities in the bulk and shear moduli for surface loading. The distinct feature of this approach is that the deformation of the entire sphere is modelled in the spectral domain with finite elements dependent only on the radial coordinate. By this, self-gravitation can be treated without special treatments employed when using an ordinary FEM. In this study, we extend the formulation so that it can deal with lateral heterogeneities in density in the case of coseismic deformation. We apply this approach to a longer-wavelength vertical deformation due to a large earthquake. The result shows that the deformation for a laterally heterogeneous density distribution is suppressed mainly where the density is larger, which is consistent with the fact that self-gravitation reduces longer-wavelength deformations for 1-D models. The effect on the vertical displacement is relatively small, but the effect on the gravity change could amount to the same order of magnitude of a given heterogeneity if the horizontal scale of the heterogeneity is large enough.
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Conference papers on the topic "Elastic-dislocation modelling"

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J. Long, J. "Cross-validation of Fault Enhancement and Elastic Dislocation Modelling." In 72nd EAGE Conference and Exhibition incorporating SPE EUROPEC 2010. European Association of Geoscientists & Engineers, 2010. http://dx.doi.org/10.3997/2214-4609.201400725.

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Khan, Imran, Shakeel Ahmad, Rana Faisal Shahzad, et al. "Geomechanical Modelling to Identify Sub-Seismic Faults and Fractures Characteristics Using Elastic Dislocation (ED) Theory: A Case Study from Potwar Foldbelt, Upper Indus Basin (UIB) of Pakistan." In ADIPEC. SPE, 2022. http://dx.doi.org/10.2118/211645-ms.

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Abstract The study will address the failure reasons of wells and point out the high-density fracture zones, to drain out the remaining hydrocarbons in the field. A robust 3D geological model was developed based on 3D seismic interpretation. The rock mechanical properties of carbonates were incorporated. The total strain i.e., the background or remote strain (Bulk deformation) and the strain from displacement along the fault surfaces are mapped to each segment/element of the generated fault surfaces. This total strain calculates stresses and the failure for deformation surface. The geomechanical model based on Elastic Dislocation (ED) theory identified strain fields on horizon surface / observation grids and then finally fractures corridor and their characteristics i.e. distribution, orientation. Fault planes generated from interpretation play a major role in the ED method for fracture analysis. The fault surface consists of an array of panels, each contributing to the ED equation calculation. The main outcome is the sub-seismic faults and fractures identification around larger faults on the horizontal observation medium. The identified fractures corridors characteristics, distribution and orientation changes along the strike of the major fault system. In the developed ED model the predicated fractures system are parallel to the major reverse fault direction, but oblique fractures corridor is also observed along the middle segments, aligning with observed variations in structure dip. The crestal portion of the anticline has a higher density of fractures than the rim. The ED modelling fractures results were verified against FMI data of the targeted horizon, which demonstrated that the wells which were drilled in high-density fracture zones (modelled) have produced hydrocarbons and vice versa. There is a correlation between modelled results with image logs and well-testing results (DST's), which increases the reliance on the ED theory's ability to correctly identify small-scale (sub-seismic) fractures, joints and faults system. The Eocene carbonate reservoirs have low primary porosity and permeability. The productivity of these reservoirs is dependent on permeable natural fractures and sub-seismic faults. The identification of these features is a major problem before drilling while, conventional techniques do not provide optimum solutions to their understanding. A case study of compressional tectonic regime in Himalayan fold & thrust belts is presented here, where an integrated approach is applied in the form of geomechanical modelling, which is built on the ED theory provide a reliable base for well planning.
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