Most cited papers in Nonlocal and gradient elasticity in micro/nano structures
What are the most cited papers in Nonlocal and gradient elasticity in micro/nano structures?
The most cited paper in Nonlocal and gradient elasticity in micro/nano structures is "On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves" (A. Cemal Eringen, 1983), with 4,817 citations. Next come "Micro-structure in linear elasticity" (3,998) and "Strain gradient plasticity: Theory and experiment" (3,767).
Showing 50 of 100 papers. Every paper with more than 543 citations is listed.
| # | Paper | ||
|---|---|---|---|
| 1 | On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves A. Cemal Eringen · Journal of Applied Physics | Sep 1983 | 4,817 |
| 2 | Micro-structure in linear elasticity R. D. Mindlin · Archive for Rational Mechanics and Analysis | 1964 | 3,998 |
| 3 | Strain gradient plasticity: Theory and experiment Norman Andrew Fleck, Georg M. Müller, Michael Farries Ashby et al. · Acta Metallurgica et Materialia | Feb 1994 | 3,767 |
| 4 | Couple stress based strain gradient theory for elasticity Fan Yang, Arthur C. M. Chong, DAVID C. C. LAM et al. · International Journal of Solids and Structures | May 2002 | 3,489 |
| 5 | Experiments and theory in strain gradient elasticity DAVID C. C. LAM, Fujun Yang, Arthur C. M. Chong et al. · Journal of the Mechanics and Physics of Solids | 19 May 2003 | 3,090 |
| 6 | On nonlocal elasticity A. Cemal Eringen, Dominic G. B. Edelen · International Journal of Engineering Science | Mar 1972 | 2,691 |
| 7 | Nonlocal Continuum Field Theories A. Cental Eringen, JL Wegner · Applied Mechanics Reviews | Mar 2003 | 2,640 |
| 8 | Effects of couple-stresses in linear elasticity R. D. Mindlin, Harry F. Tiersten · Archive for Rational Mechanics and Analysis | 1962 | 2,589 |
| 9 | Thermoelasticity without energy dissipation Anne E Green, P. M. Naghdi · Journal of Elasticity | Jun 1993 | 2,386 |
| 10 | Mechanism-based strain gradient plasticity— I. Theory Huajian Gao, Y. Huang, William D. Nix et al. · Journal of the Mechanics and Physics of Solids | Apr 1999 | 2,275 |
| 11 | Nonlocal polar elastic continua A. Cemal Eringen · International Journal of Engineering Science | 1972 | 2,187 |
| 12 | Second gradient of strain and surface-tension in linear elasticity R. D. Mindlin · International Journal of Solids and Structures | Nov 1965 | 2,069 |
| 13 | Strain Gradient Plasticity Norman Andrew Fleck, John Woodside Hutchinson · Advances in applied mechanics | 1997 | 1,957 |
| 14 | Nonlocal Damage Theory Gilles Pijaudier‐Cabot, Zdeněk P. Bažant · Journal of Engineering Mechanics | Oct 1987 | 1,927 |
| 15 | Nonlocal theories for bending, buckling and vibration of beams Junuthula Narasimha Reddy · International Journal of Engineering Science | Feb 2007 | 1,802 |
| 16 | A microbend test method for measuring the plasticity length scale James S. Stolken, Anthony Glyn Evans · Acta Materialia | Sep 1998 | 1,708 |
| 17 | A higher-order nonlocal elasticity and strain gradient theory and its applications in wave propagation C.W. Lim, G. Zhang, Junuthula Narasimha Reddy · Journal of the Mechanics and Physics of Solids | 9 Feb 2015 | 1,697 |
| 18 | On first strain-gradient theories in linear elasticity R. D. Mindlin, N. N. Eshel · International Journal of Solids and Structures | 1968 | 1,683 |
| 19 | GRADIENT ENHANCED DAMAGE FOR QUASI-BRITTLE MATERIALS R.H.J. Peerlings, René de Borst, W.A.M. Brekelmans et al. · International Journal for Numerical Methods in Engineering | 15 Oct 1996 | 1,503 |
| 20 | A phenomenological theory for strain gradient effects in plasticity Norman Andrew Fleck, John Woodside Hutchinson · Journal of the Mechanics and Physics of Solids | Dec 1993 | 1,489 |
| 21 | A numerical method for computing the overall response of nonlinear composites with complex microstructure H. Moulinec, P. Suquet · Computer Methods in Applied Mechanics and Engineering | Apr 1998 | 1,455 |
| 22 | Linear theory of nonlocal elasticity and dispersion of plane waves A. Cemal Eringen · International Journal of Engineering Science | May 1972 | 1,452 |
| 23 | Theories of elasticity with couple-stress R. A. Toupin · Archive for Rational Mechanics and Analysis | 1964 | 1,408 |
| 24 | A theory for the rapid flow of identical, smooth, nearly elastic, spherical particles James T. Jenkins, Stuart B. Savage · Journal of Fluid Mechanics | May 1983 | 1,389 |
| 25 | On the Microstructural Origin of Certain Inelastic Models Elias C. Aifantis · Journal of Engineering Materials and Technology | Oct 1984 | 1,380 |
| 26 | Application of nonlocal continuum models to nanotechnology John Peddieson, George R. Buchanan, Richard Paul Mcnitt · International Journal of Engineering Science | 30 Dec 2002 | 1,372 |
| 27 | Nonlocal Integral Formulations of Plasticity and Damage: Survey of Progress Zdeněk P. Bažant, Milan Jirásek · Journal of Engineering Mechanics | 17 Oct 2002 | 1,310 |
| 28 | Geometrically necessary dislocations and strain-gradient plasticity: a few critical issues L.P. Kubin, Andreas Mortensen · Scripta Materialia | 2 Dec 2002 | 1,239 |
| 29 | Thermoelastic damping in micro- and nanomechanical systems Ron Lifshitz, Michael Lee Roukes · Physical review. B, Condensed matter | 15 Feb 2000 | 1,231 |
| 30 | Nonlinear bending of functionally graded carbon nanotube-reinforced composite plates in thermal environments Hui‐Shen Shen · Composite Structures | 22 Apr 2009 | 1,163 |
| 31 | A reformulation of strain gradient plasticity Norman Andrew Fleck, John Woodside Hutchinson · Journal of the Mechanics and Physics of Solids | Oct 2001 | 1,160 |
| 32 | A microstructure-dependent Timoshenko beam model based on a modified couple stress theory Haitao Ma, X.-L. Gao, Junuthula Narasimha Reddy · Journal of the Mechanics and Physics of Solids | 26 Sep 2008 | 1,147 |
| 33 | Flexoelectric Effect in Solids Pavlo Zubko, Gustau Catalán, Alexander K. Tagantsev · Annual Review of Materials Research | Jul 2013 | 1,102 |
| 34 | Bernoulli–Euler beam model based on a modified couple stress theory S. K. Park, X-L Gao · Journal of Micromechanics and Microengineering | 15 Sep 2006 | 1,100 |
| 35 | Couple Stresses in Fluids Vijay Kumar Stokes · The Physics of Fluids | Sep 1966 | 1,082 |
| 36 | On the role of gradients in the localization of deformation and fracture Elias C. Aifantis · International Journal of Engineering Science | Oct 1992 | 1,078 |
| 37 | Linear elastic materials with voids Stephen C. Cowin, Jace W. Nunziato · Journal of Elasticity | Jul 1983 | 1,016 |
| 38 | The physics of plastic deformation Elias C. Aifantis · International Journal of Plasticity | 1987 | 1,013 |
| 39 | Crystallographic aspects of geometrically-necessary and statistically-stored dislocation density A. Arsenlis, David M. Parks · Acta Materialia | Mar 1999 | 968 |
| 40 | Gradient‐dependent plasticity: Formulation and algorithmic aspects René de Borst, H.‐B. Mühlhaus · International Journal for Numerical Methods in Engineering | 30 Aug 1992 | 946 |
| 41 | Nonlocal Continuum Damage, Localization Instability and Convergence Zdeneˇk P. Bazˇant, Gilles Pijaudier‐Cabot · Journal of Applied Mechanics | Jun 1988 | 928 |
| 42 | Gradient elasticity in statics and dynamics: An overview of formulations, length scale identification procedures, finite element implementations and new results Harm Askes, Elias C. Aifantis · International Journal of Solids and Structures | 16 Mar 2011 | 907 |
| 43 | A nonlinear theory of elastic materials with voids Jace W. Nunziato, Stephen C. Cowin · Archive for Rational Mechanics and Analysis | Jun 1979 | 879 |
| 44 | A gradient theory of single-crystal viscoplasticity that accounts for geometrically necessary dislocations Morton E. Gurtin · Journal of the Mechanics and Physics of Solids | 2002 | 865 |
| 45 | A critical review of recent research on functionally graded plates Dhirendra Kumar Jha, Tarun Kant, Raj Singh · Composite Structures | 12 Sep 2012 | 862 |
| 46 | Vibration of functionally graded cylindrical shells C.T. Loy, K.Y. Lam, Junuthula Narasimha Reddy · International Journal of Mechanical Sciences | Mar 1999 | 833 |
| 47 | Gradient Damage Models and Their Use to Approximate Brittle Fracture Kim Pham, Hanen Amor, Jean‐Jacques Marigo et al. · International Journal of Damage Mechanics | 25 Nov 2010 | 827 |
| 48 | Multi‐scale constitutive modelling of heterogeneous materials with a gradient‐enhanced computational homogenization scheme Varvara G. Kouznetsova, M.G.D. Geers, W.A.M. Brekelmans · International Journal for Numerical Methods in Engineering | 3 May 2002 | 821 |
| 49 | Theory of thermomicrofluids A. Cemal Eringen · Journal of Mathematical Analysis and Applications | May 1972 | 805 |
| 50 | A variational principle for gradient plasticity H.‐B. Mühlhaus, Elias C. Alfantis · International Journal of Solids and Structures | 1991 | 804 |
Citations are OpenAlex's own counts, from its 2026-09-23 snapshot, so the ranking can differ from Google Scholar or Web of Science. A paper is listed for a field when OpenAlex files it under one of the field's topics; retracted papers and papers whose citation count cannot be traced to citing works are left out, and a preprint and the article it became are shown once. Release dates are OpenAlex's: where a source gave only a month or a year, that is what is shown. How the lists are chosen.