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Original Articles

Atomistic formulation of a multiscale field theory for nano/micro solids

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Pages 4095-4126 | Received 07 Feb 2005, Accepted 27 Jul 2005, Published online: 21 Feb 2007

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Soumil Y. Joshi & Sanket A. Deshmukh. (2021) A review of advancements in coarse-grained molecular dynamics simulations. Molecular Simulation 47:10-11, pages 786-803.
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Alexander S. Davis & Vinamra Agrawal. (2022) Transmitting multiple high-frequency phonons across length scales using the concurrent atomistic–continuum method. Computational Materials Science 214, pages 111702.
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Yang Li, Zexi Zheng, Adrian Diaz, Simon R. Phillpot, David L. McDowell & Youping Chen. (2022) Resonant interaction between phonons and PbTe/PbSe (001) misfit dislocation networks. Acta Materialia 237, pages 118143.
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Adrian Diaz, Boyang Gu, Yang Li, Steven J. Plimpton, David L. McDowell & Youping Chen. (2022) A parallel algorithm for the concurrent atomistic-continuum methodology. Journal of Computational Physics 463, pages 111140.
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Alexander S. Davis, Jeffrey T. Lloyd & Vinamra Agrawal. (2022) Moving window techniques to model shock wave propagation using the concurrent atomistic–continuum method. Computer Methods in Applied Mechanics and Engineering 389, pages 114360.
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Weixuan Li, Xiang Chen & Shengfeng Yang. (2019) Phonon Transport Across Coherent and Incoherent Interfaces. JOM 71:11, pages 3885-3891.
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Youping Chen, Sergei Shabanov & David L. McDowell. (2019) Concurrent atomistic-continuum modeling of crystalline materials. Journal of Applied Physics 126:10.
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Yang Li, Zhaochuan Fan, Weixuan Li, David L. McDowell & Youping Chen. (2019) A multiscale study of misfit dislocations in PbTe/PbSe(001) heteroepitaxy. Journal of Materials Research 34:13, pages 2306-2314.
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Yang Li, Weixuan Li, Xiang Chen, Adrian Diaz, David L. McDowell & Youping Chen. (2019) Phonon spectrum and phonon focusing in coarse-grained atomistic simulations. Computational Materials Science 162, pages 21-32.
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Youping Chen & Adrian Diaz. (2018) Physical foundation and consistent formulation of atomic-level fluxes in transport processes. Physical Review E 98:5.
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Ji Rigelesaiyin, Adrian Diaz, Weixuan Li, Liming Xiong & Youping Chen. (2018) Asymmetry of the atomic-level stress tensor in homogeneous and inhomogeneous materials. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 474:2217, pages 20180155.
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Shuozhi Xu, Thomas G. Payne, Hao Chen, Yongchao Liu, Liming Xiong, Youping Chen & David L. McDowell. (2018) PyCAC: The concurrent atomistic-continuum simulation environment. Journal of Materials Research 33:7, pages 857-871.
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Xiang Chen, Adrian Diaz, Liming Xiong, David L. McDowell & Youping Chen. (2018) Passing waves from atomistic to continuum. Journal of Computational Physics 354, pages 393-402.
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Xiang Chen, Weixuan Li, Adrian Diaz, Yang Li, Youping Chen & David L. McDowell. (2017) Recent progress in the concurrent atomistic-continuum method and its application in phonon transport. MRS Communications 7:4, pages 785-797.
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Xiang Chen, Liming Xiong, David L. McDowell & Youping Chen. (2017) Effects of phonons on mobility of dislocations and dislocation arrays. Scripta Materialia 137, pages 22-26.
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Youping Chen. (2016) The origin of the distinction between microscopic formulas for stress and Cauchy stress. EPL (Europhysics Letters) 116:3, pages 34003.
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Youping Chen & Adrian Diaz. (2016) Local momentum and heat fluxes in transient transport processes and inhomogeneous systems. Physical Review E 94:5.
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Qi Tong & Shaofan Li. (2016) Multiscale coupling of molecular dynamics and peridynamics. Journal of the Mechanics and Physics of Solids 95, pages 169-187.
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Shuozhi Xu, Liming Xiong, Qian Deng & David L. McDowell. (2016) Mesh refinement schemes for the concurrent atomistic-continuum method. International Journal of Solids and Structures 90, pages 144-152.
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Qi Tong & Shaofan Li. (2015) From molecular systems to continuum solids: A multiscale structure and dynamics. The Journal of Chemical Physics 143:6.
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Liming Xiong, Xiang Chen, Ning Zhang, David L. McDowell & Youping Chen. (2014) Prediction of phonon properties of 1D polyatomic systems using concurrent atomistic–continuum simulation. Archive of Applied Mechanics 84:9-11, pages 1665-1675.
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