Topic · Elasticity and Material Modeling
Most cited papers in Elasticity and Material Modeling
What are the most cited papers in Elasticity and Material Modeling?
The most cited paper in Elasticity and Material Modeling is "Elastic Properties of Lipid Bilayers: Theory and Possible Experiments" (W. Helfrich, 1973), with 6,290 citations. Next come "A generalized dynamical theory of thermoelasticity" (4,485) and "Microstructural and Physiological Features of Tissues Elucidated by Quantitative-Diffusion-Tensor MRI" (4,372).
Showing 50 of 100 papers. Every paper with more than 960 citations is listed.
| # | Paper | ||
|---|---|---|---|
| 1 | Elastic Properties of Lipid Bilayers: Theory and Possible Experiments W. Helfrich · Zeitschrift für Naturforschung C | Dec 1973 | 6,290 |
| 2 | A generalized dynamical theory of thermoelasticity H. W. Lord, Yechiel Shulman · Journal of the Mechanics and Physics of Solids | Sep 1967 | 4,485 |
| 3 | Microstructural and Physiological Features of Tissues Elucidated by Quantitative-Diffusion-Tensor MRI Peter J. Basser, Carlo M. Pierpaoli · Journal of Magnetic Resonance Series B | Jun 1996 | 4,372 |
| 4 | Reformulation of elasticity theory for discontinuities and long-range forces Stewart A. Silling · Journal of the Mechanics and Physics of Solids | 2000 | 4,276 |
| 5 | The Physics of Rubber Elasticity Leslie R. G. Treloar, D. J. Montgomery · Physics Today | Feb 1959 | 3,802 |
| 6 | Elastography: A Quantitative Method for Imaging the Elasticity of Biological Tissues J. Ophir, I. Céspedes, H. Ponnekanti et al. · Ultrasonic Imaging | Apr 1991 | 3,510 |
| 7 | Mixed finite elements in ?3 Jean-Claude Nédélec · Numerische Mathematik | Sep 1980 | 3,304 |
| 8 | A three-dimensional constitutive model for the large stretch behavior of rubber elastic materials Ellen M. Arruda, Mary C. Boyce · Journal of the Mechanics and Physics of Solids | Feb 1993 | 3,234 |
| 9 | Plane strain deformation near a crack tip in a power-law hardening material JAMES R. RICE, G. F. Rosengren · Journal of the Mechanics and Physics of Solids | 1968 | 3,187 |
| 10 | Thermoelasticity and Irreversible Thermodynamics M. A. Biot · Journal of Applied Physics | Mar 1956 | 3,143 |
| 11 | Elastic materials with couple-stresses R. A. Toupin · Archive for Rational Mechanics and Analysis | 1962 | 2,999 |
| 12 | 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 |
| 13 | Thermoelasticity A. E. Green, Kenneth A. Lindsay · Journal of Elasticity | Mar 1972 | 2,900 |
| 14 | A new constitutive framework for arterial wall mechanics and a comparative study of material models Gerhard A. Holzapfel, Thomas Christian Gasser, Ray W. Ogden · Journal of Elasticity | 2000 | 2,869 |
| 15 | Nonlinear Solid Mechanics: A Continuum Approach for Engineering Gerhard A. Holzapfel | 23 Mar 2000 | 2,743 |
| 16 | Universal Elastic Anisotropy Index Shivakumar I. Ranganathan, Martin Ostoja‐Starzewski · Physical Review Letters | Aug 2008 | 2,727 |
| 17 | A dual algorithm for the solution of nonlinear variational problems via finite element approximation Daniel Gabay, Bertrand Mercier · Computers & Mathematics with Applications | 1976 | 2,636 |
| 18 | Elastic-Plastic Deformation at Finite Strains E. H. Lee · Journal of Applied Mechanics | Mar 1969 | 2,610 |
| 19 | Mechanical properties and the hierarchical structure of bone Jae‐Young Rho, Liisa T. Kuhn, Peter Zioupos · Medical Engineering & Physics | Mar 1998 | 2,570 |
| 20 | Convexity conditions and existence theorems in nonlinear elasticity John Macleod Ball · Archive for Rational Mechanics and Analysis | Dec 1976 | 2,451 |
| 21 | Hyperelastic modelling of arterial layers with distributed collagen fibre orientations Thomas Christian Gasser, Ray W. Ogden, Gerhard A. Holzapfel · Journal of The Royal Society Interface | 28 Sep 2005 | 2,445 |
| 22 | Poisson's ratio and modern materials George Neville Greaves, Alan Lindsay Greer, Roderic S. Lakes et al. · Nature Materials | 24 Oct 2011 | 2,389 |
| 23 | Thermoelasticity without energy dissipation Anne E Green, P. M. Naghdi · Journal of Elasticity | Jun 1993 | 2,386 |
| 24 | Theory of Elasticity and Consolidation for a Porous Anisotropic Solid M. A. Biot · Journal of Applied Physics | Feb 1955 | 2,169 |
| 25 | Magnetic Resonance Elastography by Direct Visualization of Propagating Acoustic Strain Waves Raja Muthupillai, David John Lomas, Phillip J. Rossman et al. · Science | 29 Sep 1995 | 2,125 |
| 26 | The Elastic Coefficients of the Theory of Consolidation M. A. Biot, D. G. Willis · Journal of Applied Mechanics | Dec 1957 | 2,047 |
| 27 | On the formulation of rheological equations of state J. G. Oldroyd · Proceedings of the Royal Society of London A Mathematical and Physical Sciences | 22 Feb 1950 | 2,043 |
| 28 | Strain Gradient Plasticity Norman Andrew Fleck, John Woodside Hutchinson · Advances in applied mechanics | 1997 | 1,957 |
| 29 | Mechanics of Incremental Deformation M. A. Biot, Daniel C. Drucker · Journal of Applied Mechanics | Dec 1965 | 1,910 |
| 30 | Fundamental Problems in Viscoplasticity P. Perzyna · Advances in applied mechanics | 1966 | 1,893 |
| 31 | A New Constitutive Relation for Rubber A. N. Gent · Rubber Chemistry and Technology | Mar 1996 | 1,846 |
| 32 | Thermodynamics with Internal State Variables Bernard D. Coleman, Morton E. Gurtin · The Journal of Chemical Physics | 15 Jul 1967 | 1,811 |
| 33 | 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 |
| 34 | The Elastic and Thermo-elastic Properties of Composite Media Edward H. Kerner · Proceedings of the Physical Society Section B | Aug 1956 | 1,783 |
| 35 | Consistent tangent operators for rate-independent elastoplasticity J.C. Simo, Robert L. Taylor · Computer Methods in Applied Mechanics and Engineering | Feb 1985 | 1,709 |
| 36 | Elastic Moduli of Breast and Prostate Tissues under Compression Thomas A. Krouskop, Thomas M. Wheeler, Faouzi Kallel et al. · Ultrasonic Imaging | Oct 1998 | 1,708 |
| 37 | Coefficient of Restitution Interpreted as Damping in Vibroimpact Kenneth H. Hunt, F.R.E. Crossley · Journal of Applied Mechanics | Jun 1975 | 1,676 |
| 38 | Basic biomechanical measurements of bone: A tutorial Charles H. Turner, David B. Burr · Bone | Jul 1993 | 1,672 |
| 39 | Some Forms of the Strain Energy Function for Rubber Oon Hock Yeoh · Rubber Chemistry and Technology | Nov 1993 | 1,629 |
| 40 | Some constitutive equations for liquid crystals F. M. Leslie · Archive for Rational Mechanics and Analysis | 1968 | 1,607 |
| 41 | Surface stress in solids Morton E. Gurtin, A. Ian Murdoch · International Journal of Solids and Structures | 1978 | 1,589 |
| 42 | Rupture of rubber. I. Characteristic energy for tearing R. S. Rivlin, A. G. Thomas · Journal of Polymer Science | Mar 1953 | 1,577 |
| 43 | Theory of Stress Concentration for Shear-Strained Prismatical Bodies With Arbitrary Nonlinear Stress-Strain Law H. Neuber · Journal of Applied Mechanics | Dec 1961 | 1,556 |
| 44 | The stiffness of living tissues and its implications for tissue engineering Carlos F. Guimarães, Luca Gasperini, Alexandra P. Marques et al. · Nature Reviews Materials | 21 Feb 2020 | 1,552 |
| 45 | A general theory of uniqueness and stability in elastic-plastic solids R. Hill · Journal of the Mechanics and Physics of Solids | May 1958 | 1,550 |
| 46 | ELATE: an open-source online application for analysis and visualization of elastic tensors Romain Gaillac, Pluton Pullumbi, François‐Xavier Coudert · Journal of Physics Condensed Matter | 19 May 2016 | 1,535 |
| 47 | Theory of Viscoelasticity Richard M. Christensen, L. B. Freund · Journal of Applied Mechanics | Sep 1971 | 1,526 |
| 48 | The elastic and ultimate properties of compact bone tissue Donald T. Reilly, Albert H. Burstein · Journal of Biomechanics | 1975 | 1,526 |
| 49 | Fine phase mixtures as minimizers of energy John Macleod Ball, Richard D. James · Archive for Rational Mechanics and Analysis | 1987 | 1,519 |
| 50 | Stress-dependent finite growth in soft elastic tissues Edward Kenneth Rodriguez, Anne Hoger, Andrew D. McCulloch · Journal of Biomechanics | Apr 1994 | 1,480 |
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.