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International Journal of Smart and Nano Materials Volume 1, 2010 - Issue 2
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Articles

Micromorphic theory: a gateway to nano world

Xianqiao Wang Department of Mechanical and Aerospace Engineering, The George Washington University, Washington, DC, 20052, USA
&
James D. Lee Department of Mechanical and Aerospace Engineering, The George Washington University, Washington, DC, 20052, USACorrespondence[email protected]
Pages 115-135 | Received 17 Feb 2010, Accepted 02 Apr 2010, Published online: 13 May 2010

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Yury A. Rossikhin & Marina V. Shitikova. (2020) Transient waves propagation in the Mindlin microelastic medium. Mechanics of Advanced Materials and Structures 27:19, pages 1653-1657.
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Articles from other publishers (22)

Kai Liu, Lu Meng, Ang Zhao, Zhonggang Wang, Leilei Chen & Pei Li. (2023) A hybrid direct FE2 method for modeling of multiscale materials and structures with strain localization. Computer Methods in Applied Mechanics and Engineering 412, pages 116080.
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Abubakar Abdussalam Nuhu & Babak Safaei. (2022) A comprehensive review on the vibration analyses of small-scaled plate-based structures by utilizing the nonclassical continuum elasticity theories. Thin-Walled Structures 179, pages 109622.
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Mir Abbas Roudbari, Tahereh Doroudgar Jorshari, Chaofeng Lü, Reza Ansari, Abbas Z. Kouzani & Marco Amabili. (2022) A review of size-dependent continuum mechanics models for micro- and nano-structures. Thin-Walled Structures 170, pages 108562.
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Tahereh Doroudgar Jorshari & Mir Abbas Roudbari. (2021) A Review on the Mechanical Behavior of Size-Dependent Beams and Plates using the Nonlocal Strain-Gradient Model. Journal of Basic & Applied Sciences 17, pages 184-193.
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D Ieşan. (2021) On the deformation of micromorphic elastic beams. Mathematics and Mechanics of Solids 26:12, pages 1779-1797.
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A.Yu. Panchenko, E.A. Podolskaya & I.E. Berinskii. (2021) Coarse–grained modeling with hierarchical deformable and rigid assemblages (HiDRA). International Journal of Engineering Science 167, pages 103514.
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Giuseppe Failla & Esmaeal Ghavanloo. 2021. Size-Dependent Continuum Mechanics Approaches. Size-Dependent Continuum Mechanics Approaches 393 415 .
R. Hassani, R. Ansari & H. Rouhi. (2019) An efficient numerical approach to the micromorphic hyperelasticity. Continuum Mechanics and Thermodynamics 32:4, pages 1011-1036.
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Jiaoyan Li, Kerlin P. Robert & James D. Lee. (2019) Micromorphic theory and its finite element formulation. Acta Mechanica 231:4, pages 1253-1284.
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Amir Norouzzadeh, Reza Ansari & Mansour Darvizeh. (2019) Large elastic deformation of micromorphic shells. Part I: Variational formulation. Mathematics and Mechanics of Solids 24:12, pages 3920-3956.
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Valeria Settimi, Patrizia Trovalusci & Giuseppe Rega. (2019) Dynamical properties of a composite microcracked bar based on a generalized continuum formulation. Continuum Mechanics and Thermodynamics 31:6, pages 1627-1644.
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Alireza Gharahi & Peter Schiavone. (2019) Edge dislocation with surface flexural resistance in micropolar materials. Acta Mechanica 230:5, pages 1513-1527.
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Oleksandr Gorodetskyi, Markus Hütter & Marc G.D. Geers. (2017) Detecting precursors of localization by strain-field analysis. Mechanics of Materials 110, pages 84-97.
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Arkadi Berezovski & Peter VánArkadi Berezovski & Peter Ván. 2017. Internal Variables in Thermoelasticity. Internal Variables in Thermoelasticity 99 111 .
Arkadi Berezovski. (2016) On the Mindlin microelasticity in one dimension. Mechanics Research Communications 77, pages 60-64.
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Arkadi Berezovski, Ivan Giorgio & Alessandro Della Corte. (2015) Interfaces in micromorphic materials: Wave transmission and reflection with numerical simulations. Mathematics and Mechanics of Solids 21:1, pages 37-51.
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James D. Lee, Jiaoyan Li & Zhen Zhang. (2014) Material force in micromorphic plasticity. Archive of Applied Mechanics 84:9-11, pages 1453-1464.
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J. Engelbrecht & A. Salupere. (2013) Scaling and hierarchies of wave motion in solids. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 94:9, pages 775-783.
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Patrizio Neff, Ionel-Dumitrel Ghiba, Angela Madeo, Luca Placidi & Giuseppe Rosi. (2013) A unifying perspective: the relaxed linear micromorphic continuum. Continuum Mechanics and Thermodynamics 26:5, pages 639-681.
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Ya Jun Yu, Xiao Geng Tian & Tian Jian Lu. (2013) On fractional order generalized thermoelasticity with micromodeling. Acta Mechanica 224:12, pages 2911-2927.
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A. Berezovski, J. Engelbrecht, A. Salupere, K. Tamm, T. Peets & M. Berezovski. (2013) Dispersive waves in microstructured solids. International Journal of Solids and Structures 50:11-12, pages 1981-1990.
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Jüri Engelbrecht & Arkadi Berezovski. (2012) Internal structures and internal variables in solids. Journal of Mechanics of Materials and Structures 7:10, pages 983-996.
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