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Most cited papers in Composite Material Mechanics

What are the most cited papers in Composite Material Mechanics?

The most cited paper in Composite Material Mechanics is "The determination of the elastic field of an ellipsoidal inclusion, and related problems" (John Douglas Eshelby, 1957), with 13,025 citations. Next come "Average stress in matrix and average elastic energy of materials with misfitting inclusions" (8,161) and "Generating optimal topologies in structural design using a homogenization method" (7,508).

Showing 50 of 100 papers. Every paper with more than 925 citations is listed.

Most cited papers, sortable by citations and release date
#Paper
1 The determination of the elastic field of an ellipsoidal inclusion, and related problems John Douglas Eshelby · Proceedings of the Royal Society of London A Mathematical and Physical Sciences Open access 20 Aug 1957 13,025
2 Average stress in matrix and average elastic energy of materials with misfitting inclusions T. Mori, Kōichi Tanaka · Acta Metallurgica May 1973 8,161
3 Generating optimal topologies in structural design using a homogenization method Martin Philip Bendsøe, Noboru Kikuchi · Computer Methods in Applied Mechanics and Engineering Nov 1988 7,508
4 A variational approach to the theory of the elastic behaviour of multiphase materials Zvi Hashin, S. Shtrikman · Journal of the Mechanics and Physics of Solids Mar 1963 5,867
5 Elastic properties of reinforced solids: Some theoretical principles R. Hill · Journal of the Mechanics and Physics of Solids Sep 1963 4,905
6 Optimal shape design as a material distribution problem Martin Philip Bendsøe · Structural and Multidisciplinary Optimization Dec 1989 4,565
7 Reformulation of elasticity theory for discontinuities and long-range forces Stewart A. Silling · Journal of the Mechanics and Physics of Solids 2000 4,276
8 A self-consistent mechanics of composite materials R. Hill · Journal of the Mechanics and Physics of Solids Open access Aug 1965 3,692
9 A review of recent developments in natural fibre composites and their mechanical performance Kim Louise Pickering, M.G. Aruan Efendy, T.M. Le · Composites Part A Applied Science and Manufacturing Open access 11 Sep 2015 3,460
10 A Variational Approach to the Theory of the Effective Magnetic Permeability of Multiphase Materials Zvi Hashin, S. Shtrikman · Journal of Applied Physics Oct 1962 3,278
11 A phase field model for rate-independent crack propagation: Robust algorithmic implementation based on operator splits Christian Miehé, Martina Hofacker, Fabian Welschinger · Computer Methods in Applied Mechanics and Engineering 8 May 2010 3,113
12 The Halpin‐Tsai equations: A review J. C. Halpin Affdl, John L. Kardos · Polymer Engineering and Science May 1976 3,052
13 Elastic materials with couple-stresses R. A. Toupin · Archive for Rational Mechanics and Analysis 1962 2,999
14 Large deformation isotropic elasticity – on the correlation of theory and experiment for incompressible rubberlike solids Ray W. Ogden · Proceedings of the Royal Society of London A Mathematical and Physical Sciences Feb 1972 2,969
15 Material interpolation schemes in topology optimization Martin Philip Bendsøe, Ole Sigmund · Archive of Applied Mechanics 22 Nov 1999 2,853
16 Universal Elastic Anisotropy Index Shivakumar I. Ranganathan, Martin Ostoja‐Starzewski · Physical Review Letters Aug 2008 2,727
17 A new approach to the application of Mori-Tanaka's theory in composite materials Yakov Benveniste · Mechanics of Materials Jun 1987 2,714
18 Poisson's ratio and modern materials George Neville Greaves, Alan Lindsay Greer, Roderic S. Lakes et al. · Nature Materials 24 Oct 2011 2,389
19 Homogenization and Two-Scale Convergence Grégoire Allaire · SIAM Journal on Mathematical Analysis Open access Nov 1992 2,295
20 Micromechanics: Overall Properties of Heterogeneous Materials Sia Nemat‐Nasser, M. Lori, S. K. Datta · Journal of Applied Mechanics Open access Jun 1996 2,215
21 Theory of Elasticity and Consolidation for a Porous Anisotropic Solid M. A. Biot · Journal of Applied Physics Open access Feb 1955 2,169
22 Numerical instabilities in topology optimization: A survey on procedures dealing with checkerboards, mesh-dependencies and local minima Ole Sigmund, Joakim H. Petersson · Structural and Multidisciplinary Optimization Aug 1998 2,128
23 Solutions for effective shear properties in three phase sphere and cylinder models Richard M. Christensen, King Him Lo · Journal of the Mechanics and Physics of Solids Aug 1979 2,116
24 Determination of the size of the representative volume element for random composites: statistical and numerical approach Toufik Kanit, Samuel Forest, Isabelle Galliet et al. · International Journal of Solids and Structures 19 May 2003 2,031
25 Morphological Stability of a Particle Growing by Diffusion or Heat Flow William W. Mullins, Robert F. Sekerka · Journal of Applied Physics Feb 1963 2,016
26 Elastic moduli of a cracked solid Bernard Budiansky, Richard J. O’Connell · International Journal of Solids and Structures 1976 2,011
27 Effective thermal conductivity of particulate composites with interfacial thermal resistance Ce‐Wen Nan, R. Birringer, David Robinson Clarke et al. · Journal of Applied Physics 15 May 1997 2,007
28 Dielectric properties of fine-grained barium titanate ceramics Gottfried Arlt, Detlev Hennings, Gijsbertus de With · Journal of Applied Physics Open access 15 Aug 1985 1,966
29 A Multiscale Finite Element Method for Elliptic Problems in Composite Materials and Porous Media Thomas Y. Hou, Xiaohui Wu · Journal of Computational Physics Jun 1997 1,909
30 Inelastic constitutive relations for solids: An internal-variable theory and its application to metal plasticity JAMES R. RICE · Journal of the Mechanics and Physics of Solids Nov 1971 1,805
31 Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods Thomas J.R. Hughes · Computer Methods in Applied Mechanics and Engineering Open access Nov 1995 1,798
32 The Elastic and Thermo-elastic Properties of Composite Media Edward H. Kerner · Proceedings of the Physical Society Section B Open access Aug 1956 1,783
33 The Elastic Moduli of Fiber-Reinforced Materials Zvi Hashin, B. WALTER ROSEN · Journal of Applied Mechanics Jun 1964 1,740
34 On the elastic moduli of some heterogeneous materials Bernard Budiansky · Journal of the Mechanics and Physics of Solids Aug 1965 1,703
35 The Elastic Moduli of Heterogeneous Materials Zvi Hashin · Journal of Applied Mechanics Mar 1962 1,678
36 The variational multiscale method—a paradigm for computational mechanics Thomas J.R. Hughes, Gonzalo R. Feijóo, Luca Mazzei et al. · Computer Methods in Applied Mechanics and Engineering Open access Nov 1998 1,672
37 Effect of Mechanical Boundary Conditions on Phase Diagrams of Epitaxial Ferroelectric Thin Films N. A. Pertsev, A. G. Zembilgotov, Alexander K. Tagantsev · Physical Review Letters Open access 2 Mar 1998 1,635
38 The elastic field outside an ellipsoidal inclusion John Douglas Eshelby · Proceedings of the Royal Society of London A Mathematical and Physical Sciences 27 Oct 1959 1,607
39 Surface stress in solids Morton E. Gurtin, A. Ian Murdoch · International Journal of Solids and Structures 1978 1,589
40 The stress system in a suspension of force-free particles George Keith Batchelor · Journal of Fluid Mechanics 29 Apr 1970 1,575
41 Bounds and self-consistent estimates for creep of polycrystalline materials John Woodside Hutchinson · Proceedings of the Royal Society of London A Mathematical and Physical Sciences 10 Feb 1976 1,529
42 Fine phase mixtures as minimizers of energy John Macleod Ball, Richard D. James · Archive for Rational Mechanics and Analysis 1987 1,519
43 The extended/generalized finite element method: An overview of the method and its applications Thomas‐Peter Fries, Ted Belytschko · International Journal for Numerical Methods in Engineering 23 Apr 2010 1,467
44 The Occurrence of Singularities in the Elastic Frequency Distribution of a Crystal Léon Van Hove · Physical Review 15 Mar 1953 1,467
45 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 Open access Apr 1998 1,455
46 Steady‐State and Multiple Cracking of Short Random Fiber Composites Victor C. Li, Christopher K.Y. Leung · Journal of Engineering Mechanics Nov 1992 1,439
47 Continuum micro-mechanics of elastoplastic polycrystals R. Hill · Journal of the Mechanics and Physics of Solids Open access Apr 1965 1,430
48 Large elastic deformations of isotropic materials VII. Experiments on the deformation of rubber R. S. Rivlin, D. W. Saunders · Philosophical Transactions of the Royal Society of London Series A Mathematical and Physical Sciences 24 Apr 1951 1,410
49 Materials with structural hierarchy Roderic S. Lakes · Nature Feb 1993 1,407
50 Velocity and attenuation of seismic waves in two-phase media; Part I, Theoretical formulations Guy T. Kuster, M. Nafi Toksöz · Geophysics Oct 1974 1,402

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.