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Original Articles

A formulation for the characteristic lengths of fcc materials in first strain gradient elasticity via the Sutton–Chen potential

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Pages 1893-1913 | Received 25 May 2009, Accepted 05 Dec 2009, Published online: 21 Apr 2010

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M.R. Delfani & H.R. Kosari. (2022) Interaction of a semi-infinite crack with a screw dislocation within Mindlin’s first strain-gradient elasticity. Engineering Fracture Mechanics 275, pages 108846.
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Iman Moosaie, Davood Mostofinejad & Saeed Shojaee. (2022) Determination of length scale parameters of strain gradient continuum theory for crystalline solids using a computational quantum mechanical model based on density functional theory. Current Applied Physics 36, pages 97-104.
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Igor V. Andrianov, Steve G. Koblik, Galina A. Starushenko & Askat K. Kudaibergenov. (2022) On Aspects of Gradient Elasticity: Green’s Functions and Concentrated Forces. Symmetry 14:2, pages 188.
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Markus Lazar. (2021) Incompatible strain gradient elasticity of Mindlin type: screw and edge dislocations. Acta Mechanica 232:9, pages 3471-3494.
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Fahimeh Mehralian & R. D. Firouzabadi. (2021) A comprehensive continuum model for graphene in the framework of first strain gradient theory. The European Physical Journal Plus 136:7.
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Hossein M. Shodja & Hashem Moosavian. (2020) Weakly nonlocal micromorphic elasticity for diamond structures vis-à-vis lattice dynamics. Mechanics of Materials 147, pages 103365.
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M.R. Delfani & P. Forghani-Arani. (2019) Interaction of a straight screw dislocation with a circular cylindrical inhomogeneity in the context of second strain gradient theory of elasticity. Mechanics of Materials 139, pages 103208.
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P. Moradweysi, R. Ansari, R. Gholami, M. Bazdid‐Vahdati & H. Rouhi. (2019) Half‐space contact problem considering strain gradient and surface effects: An analytical approach. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 99:6, pages e201700190.
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R.D. Firouz-Abadi & Fahimeh Mehralian. (2019) A new method for free vibration analysis of nanobeams: Introduction of equivalent lattice stiffness method. Solid State Communications 287, pages 35-42.
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Hossein M. Shodja, Hashem Moosavian & Farzaneh Ojaghnezhad. (2018) Toupin–Mindlin first strain gradient theory revisited for cubic crystals of hexoctahedral class: Analytical expression of the material parameters in terms of the atomic force constants and evaluation via ab initio DFT. Mechanics of Materials 123, pages 19-29.
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M.R. Ghazavi, H. Molki & A. Ali beigloo. (2018) Nonlinear analysis of the micro/nanotube conveying fluid based on second strain gradient theory. Applied Mathematical Modelling 60, pages 77-93.
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Bita Alemi & Hossein M. Shodja. (2018) Effective shear modulus of solids reinforced by randomly oriented- / aligned-elliptic multi-coated nanofibers in micropolar elasticity. Composites Part B: Engineering 143, pages 197-206.
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A. R. El-Dhaba. (2017) Semi-inverse method for a plane strain gradient orthotropic elastic rectangle in tension. Microsystem Technologies 24:2, pages 1317-1331.
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M. R. Delfani & M. Latifi Shahandashti. (2017) Elastic field of a spherical inclusion with non-uniform eigenfields in second strain gradient elasticity. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 473:2205, pages 20170254.
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M.R. Ghazavi, H. Molki & A. Ali beigloo. (2017) Nonlinear vibration and stability analysis of the curved microtube conveying fluid as a model of the micro coriolis flowmeters based on strain gradient theory. Applied Mathematical Modelling 45, pages 1020-1030.
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Iman Karimipour & Ali Reza Fotuhi. (2017) Anti-plane analysis of an infinite plane with multiple cracks based on strain gradient theory. Acta Mechanica 228:5, pages 1793-1817.
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Farzaneh Ojaghnezhad & Hossein M. Shodja. (2016) Surface elasticity revisited in the context of second strain gradient theory. Mechanics of Materials 93, pages 220-237.
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Dariush Seif, Giacomo Po, Matous Mrovec, Markus Lazar, Christian Elsässer & Peter Gumbsch. (2015) Atomistically enabled nonsingular anisotropic elastic representation of near-core dislocation stress fields in -iron . Physical Review B 91:18.
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M.T. Kamali, H.M. Shodja & B. Forouzan. (2015) Three-dimensional free vibration of arbitrarily shaped laminated micro-plates with sliding interfaces within couple stress theory. Journal of Sound and Vibration 339, pages 176-195.
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S. Rezazadeh Kalehbasti, M.Yu. Gutkin & H.M. Shodja. (2014) Wedge disclinations in the shell of a core–shell nanowire within the surface/interface elasticity. Mechanics of Materials 68, pages 45-63.
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A. Javili, F. dell'Isola & P. Steinmann. (2013) Geometrically nonlinear higher-gradient elasticity with energetic boundaries. Journal of the Mechanics and Physics of Solids 61:12, pages 2381-2401.
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Farzaneh Ojaghnezhad & Hossein M. Shodja. (2013) A combined first principles and analytical determination of the modulus of cohesion, surface energy, and the additional constants in the second strain gradient elasticity. International Journal of Solids and Structures 50:24, pages 3967-3974.
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Xin-Lin Gao & Song-Sheng Zhou. (2012) Strain gradient solutions of half-space and half-plane contact problems. Zeitschrift für angewandte Mathematik und Physik 64:4, pages 1363-1386.
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H.M. Shodja, A. Zaheri & A. Tehranchi. (2013) Ab initio calculations of characteristic lengths of crystalline materials in first strain gradient elasticity. Mechanics of Materials 61, pages 73-78.
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P. Mohammadi, L.P. Liu, P. Sharma & R.V. Kukta. (2013) Surface energy, elasticity and the homogenization of rough surfaces. Journal of the Mechanics and Physics of Solids 61:2, pages 325-340.
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Hossein Shodja, Maryam Tabatabaei, Alireza Ostadhossein & Ladan Pahlevani. (2013) Elastic fields of interacting point defects within an ultra-thin fcc film bonded to a rigid substrate. Open Engineering 3:4.
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Markus Lazar. (2013) The fundamentals of non-singular dislocations in the theory of gradient elasticity: Dislocation loops and straight dislocations. International Journal of Solids and Structures 50:2, pages 352-362.
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H. M. Shodja, F. Ahmadpoor & A. Tehranchi. (2012) Calculation of the Additional Constants for fcc Materials in Second Strain Gradient Elasticity: Behavior of a Nano-Size Bernoulli-Euler Beam With Surface Effects. Journal of Applied Mechanics 79:2.
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P. Chhapadia, P. Mohammadi & P. Sharma. (2011) Curvature-dependent surface energy and implications for nanostructures. Journal of the Mechanics and Physics of Solids 59:10, pages 2103-2115.
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Ladan Pahlevani & Hossein M. Shodja. (2011) Surface and Interface Effects on Torsion of Eccentrically Two-Phase fcc Circular Nanorods: Determination of the Surface/Interface Elastic Properties via an Atomistic Approach. Journal of Applied Mechanics 78:1.
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