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Philosophical Magazine Volume 87, 2007 - Issue 8-9: Density-Based Modelling of Dislocations
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Original Articles

Statistical characterization of dislocation ensembles

A. El-azab School of Computational Science, Florida State University, Tallahassee, FL 32306, US; Mechanical Engineering Department, FAMU-FSU College of Engineering, Florida State University, Tallahassee, FL 32310, USCorrespondence[email protected]
,
J. Deng Mechanical Engineering Department, FAMU-FSU College of Engineering, Florida State University, Tallahassee, FL 32310, US
&
M. Tang Lawrence Livermore National Laboratory, 7000 East Avenue, Livermore, CA 94550, US
Pages 1201-1223 | Received 23 May 2006, Accepted 12 Sep 2006, Published online: 04 Dec 2010

Citations (22)

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Read on this site (2)

Jie Deng & Anter El-Azab. (2010) Temporal statistics and coarse graining of dislocation ensembles. Philosophical Magazine 90:27-28, pages 3651-3678.
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J. Deng, A. El-Azab & B.C. Larson. (2008) On the elastic boundary value problem of dislocations in bounded crystals. Philosophical Magazine 88:30-32, pages 3527-3548.
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Articles from other publishers (20)

Fabio Sozio & Arash Yavari. (2023) A Geometric Field Theory of Dislocation Mechanics. Journal of Nonlinear Science 33:5.
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Binh Duong Nguyen & Stefan Sandfeld. 2021. Wide Bandgap Semiconductors for Power Electronics. Wide Bandgap Semiconductors for Power Electronics 199 223 .
David L. McDowell. 2020. Handbook of Materials Modeling. Handbook of Materials Modeling 1609 1629 .
B. Gurrutxaga-Lerma. (2019) A stochastic study of the collective effect of random distributions of dislocations. Journal of the Mechanics and Physics of Solids 124, pages 10-34.
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David L. McDowell. 2019. Mesoscale Models. Mesoscale Models 195 297 .
Shuozhi Xu, Ji Rigelesaiyin, Liming Xiong, Youping Chen & David L. McDowell. 2018. Generalized Models and Non-classical Approaches in Complex Materials 2. Generalized Models and Non-classical Approaches in Complex Materials 2 237 260 .
David L. McDowell. 2018. Handbook of Materials Modeling. Handbook of Materials Modeling 1 21 .
Shengxu Xia, James Belak & Anter El-Azab. (2016) The discrete-continuum connection in dislocation dynamics: I. Time coarse graining of cross slip. Modelling and Simulation in Materials Science and Engineering 24:7, pages 075007.
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Stefan Sandfeld & Giacomo Po. (2015) Microstructural comparison of the kinematics of discrete and continuum dislocations models. Modelling and Simulation in Materials Science and Engineering 23:8, pages 085003.
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Stefan Sandfeld & Michael Zaiser. (2015) Pattern formation in a minimal model of continuum dislocation plasticity. Modelling and Simulation in Materials Science and Engineering 23:6, pages 065005.
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Stefan Sandfeld, Ekkachai Thawinan & Christian Wieners. (2015) A link between microstructure evolution and macroscopic response in elasto-plasticity: Formulation and numerical approximation of the higher-dimensional continuum dislocation dynamics theory. International Journal of Plasticity 72, pages 1-20.
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Daniel WeygandMatous Mrovec, Thomas Hochrainer & Peter Gumbsch. (2015) Multiscale Simulation of Plasticity in bcc Metals. Annual Review of Materials Research 45:1, pages 369-390.
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. 2013. Stochastic Geometry and its Applications. Stochastic Geometry and its Applications 453 505 .
Yoon Suk Choi & Robert A. A. Brockman. 2011. Computational Methods for Microstructure-Property Relationships. Computational Methods for Microstructure-Property Relationships 199 238 .
Jie Deng & Anter El-Azab. (2009) Mathematical and computational modelling of correlations in dislocation dynamics. Modelling and Simulation in Materials Science and Engineering 17:7, pages 075010.
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Péter Dusán Ispánovity & István Groma. (2008) The probability distribution of internal stresses in externally loaded 2D dislocation systems. Journal of Statistical Mechanics: Theory and Experiment 2008:12, pages P12009.
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Péter Dusán Ispánovity, István Groma & Géza Györgyi. (2008) Evolution of the correlation functions in two-dimensional dislocation systems. Physical Review B 78:2.
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B. C. Larson, J. Z. Tischler, Anter El-Azab & Wenjun Liu. (2008) Dislocation Density Tensor Characterization of Deformation Using 3D X-Ray Microscopy. Journal of Engineering Materials and Technology 130:2.
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Jan Kratochvíl & Radan Sedláček. (2008) Statistical foundation of continuum dislocation plasticity. Physical Review B 77:13.
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Jie Deng & Anter El-Azab. (2008) Dislocation pair correlations from dislocation dynamics simulations. Journal of Computer-Aided Materials Design 14:S1, pages 295-307.
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