Topic · Elasticity and Wave Propagation
Most cited papers in Elasticity and Wave Propagation
What are the most cited papers in Elasticity and Wave Propagation?
The most cited paper in Elasticity and Wave Propagation is "Influence of Rotatory Inertia and Shear on Flexural Motions of Isotropic, Elastic Plates" (R. D. Mindlin, 1951), with 5,072 citations. Next come "Reformulation of elasticity theory for discontinuities and long-range forces" (4,276) and "Wave Propagation in Elastic Solids" (4,036).
Showing 50 of 99 papers. Every paper with more than 530 citations is listed.
| # | Paper | ||
|---|---|---|---|
| 1 | Influence of Rotatory Inertia and Shear on Flexural Motions of Isotropic, Elastic Plates R. D. Mindlin · Journal of Applied Mechanics | Mar 1951 | 5,072 |
| 2 | Reformulation of elasticity theory for discontinuities and long-range forces Stewart A. Silling · Journal of the Mechanics and Physics of Solids | 2000 | 4,276 |
| 3 | Wave Propagation in Elastic Solids J. D. Achenbach, Stephen A. Thau · Journal of Applied Mechanics | Jun 1974 | 4,036 |
| 4 | Mechanics of Deformation and Acoustic Propagation in Porous Media M. A. Biot · Journal of Applied Physics | Apr 1962 | 3,959 |
| 5 | Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree Holger Wendland · Advances in Computational Mathematics | Dec 1995 | 3,058 |
| 6 | Elastic materials with couple-stresses R. A. Toupin · Archive for Rational Mechanics and Analysis | 1962 | 2,999 |
| 7 | 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 |
| 8 | Mathematical Foundations of Elasticity Jerrold Eldon Marsden, Thomas J.R. Hughes, Donald E. Carlson · Journal of Applied Mechanics | Dec 1984 | 2,704 |
| 9 | Anelastic Relaxation in Crystalline Solids A. S. Nowick, B. S. Berry, J. Lawrence Katz · Journal of Applied Mechanics | Sep 1975 | 2,630 |
| 10 | Convexity conditions and existence theorems in nonlinear elasticity John Macleod Ball · Archive for Rational Mechanics and Analysis | Dec 1976 | 2,451 |
| 11 | Elastic Waves in Layered Media William M. Ewing, W. S. Jardetzky, Frank Press et al. · Physics Today | Dec 1957 | 2,379 |
| 12 | Nonlocal polar elastic continua A. Cemal Eringen · International Journal of Engineering Science | 1972 | 2,187 |
| 13 | 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 |
| 14 | The thermodynamics of elastic materials with heat conduction and viscosity Bernard D. Coleman, Walter Noll · Archive for Rational Mechanics and Analysis | Dec 1963 | 2,039 |
| 15 | Transmission of Elastic Waves through a Stratified Solid Medium William T. Thomson · Journal of Applied Physics | Feb 1950 | 2,030 |
| 16 | Unidirectional Invisibility Induced by P T -Symmetric Periodic Structures Zin Lin, Hamidreza Ramezani, Toni Eichelkraut et al. · Physical Review Letters | 25 May 2011 | 1,931 |
| 17 | Mechanics of Incremental Deformation M. A. Biot, Daniel C. Drucker · Journal of Applied Mechanics | Dec 1965 | 1,910 |
| 18 | Stress waves in solids H. Kolsky · Journal of Sound and Vibration | 1964 | 1,894 |
| 19 | The Shear Coefficient in Timoshenko’s Beam Theory G.R. Cowper · Journal of Applied Mechanics | Jun 1966 | 1,894 |
| 20 | Wave motion in elastic solids D.P. Morgan · Ultrasonics | Sep 1975 | 1,703 |
| 21 | The Elastic Moduli of Heterogeneous Materials Zvi Hashin · Journal of Applied Mechanics | Mar 1962 | 1,678 |
| 22 | ON UNDAMPED HEAT WAVES IN AN ELASTIC SOLID A. E. Green, P. M. Naghdi · Journal of Thermal Stresses | Apr 1992 | 1,678 |
| 23 | Fuzzy regulators and fuzzy observers: relaxed stability conditions and LMI-based designs Kazuo A. TANAKA, Takayuki Ikeda, Hua O. Wang · IEEE Transactions on Fuzzy Systems | May 1998 | 1,627 |
| 24 | Dislocations and Cracks in Anisotropic Elasticity A. N. Stroh · Philosophical magazine | Jun 1958 | 1,612 |
| 25 | Theory of Elasticity of an Anisotropic Elastic Body S.G. Lekhnitskii, P. Fern, Julius J. Brandstatter et al. · Physics Today | 1964 | 1,482 |
| 26 | Nonlinear dynamics and chaos Sinisa Pajevic · Journal of Statistical Physics | Mar 1995 | 1,421 |
| 27 | 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 |
| 28 | A re-examination of the basic postulates of thermomechanics Albert Edward Green, P. M. Naghdi · Proceedings of the Royal Society of London Series A Mathematical and Physical Sciences | 8 Feb 1991 | 1,384 |
| 29 | On the Microstructural Origin of Certain Inelastic Models Elias C. Aifantis · Journal of Engineering Materials and Technology | Oct 1984 | 1,380 |
| 30 | Creep Problems in Structural Members Yu. N. Rabotnov, Frederick A. Leckie, William Prager · Journal of Applied Mechanics | Mar 1970 | 1,379 |
| 31 | Nonlinear Oscillations Dynamical Systems, and Bifurcations of Vector Fields John M. Guckenheimer, Philip J. Holmes, Marshall Slemrod · Journal of Applied Mechanics | Dec 1984 | 1,291 |
| 32 | Hyperbolic Thermoelasticity: A Review of Recent Literature D. S. Chandrasekharaiah · Applied Mechanics Reviews | Dec 1998 | 1,269 |
| 33 | Anisotropic Elasticity: Theory and Applications Thomas C. T. Ting, Cornelius O. Horgan · Journal of Applied Mechanics | Dec 1996 | 1,242 |
| 34 | Thermoelastic damping in micro- and nanomechanical systems Ron Lifshitz, Michael Lee Roukes · Physical review. B, Condensed matter | 15 Feb 2000 | 1,231 |
| 35 | Plane Problems of Cracks in Dissimilar Media JAMES R. RICE, G. C. Sih · Journal of Applied Mechanics | Jun 1965 | 1,223 |
| 36 | The force on an elastic singularity John Douglas Eshelby · Philosophical Transactions of the Royal Society of London Series A Mathematical and Physical Sciences | 6 Nov 1951 | 1,198 |
| 37 | Robust stabilization of a class of uncertain nonlinear systems via fuzzy control: quadratic stabilizability, H/sup ∞/ control theory, and linear matrix inequalities Kazuo Tanaka, Takayuki Ikeda, Hua O. Wang · IEEE Transactions on Fuzzy Systems | 1996 | 1,133 |
| 38 | A THEOREM ON FORCE-FREE MAGNETIC FIELDS Lodewijk Woltjer · Proceedings of the National Academy of Sciences | Jun 1958 | 1,124 |
| 39 | The Dynamic Stability of Elastic Systems Vladimir V. Bolotin, Heather L. Armstrong · American Journal of Physics | Sep 1965 | 1,082 |
| 40 | On the role of gradients in the localization of deformation and fracture Elias C. Aifantis · International Journal of Engineering Science | Oct 1992 | 1,078 |
| 41 | Some remarks on elastic crack-tip stress fields JAMES R. RICE · International Journal of Solids and Structures | Jun 1972 | 1,035 |
| 42 | Three-Dimensional Problems of the Mathematical Theory of Elasticity and Thermoelasticity V. D. Kupradze, Tengiz G. Gegelia, Mikheil Basheleishvili et al. · Journal of Applied Mechanics | Mar 1980 | 1,029 |
| 43 | Passive energy dissipation systems in structural engineering Adam J Crewe · Structural Safety | 1998 | 1,021 |
| 44 | Stable and Random Motions in Dynamical Systems Joel Moser, Donald Gene Saari · Physics Today | Mar 1975 | 1,008 |
| 45 | The crystallography of martensite transformations I J.S Bowles, J. K. Mackenzie · Acta Metallurgica | 1954 | 1,004 |
| 46 | Sound Scattering by Solid Cylinders and Spheres James J. Faran · The Journal of the Acoustical Society of America | Jul 1951 | 985 |
| 47 | Constitutive Equations in Plasticity Ali S. Argon, C. Scott Hartley · Journal of Applied Mechanics | Dec 1977 | 969 |
| 48 | Stress-Deformation Relations for Isotropic Materials R. S. Rivlin, Jerald Laverne Ericksen | 1997 | 951 |
| 49 | A general theory of an elastic-plastic continuum Anne E Green, P. M. Naghdi · Archive for Rational Mechanics and Analysis | 1965 | 936 |
| 50 | Integral Equation Methods in Potential Theory and Elastostatics M. A. Jaswon, George T. Symm, Thomas A. Cruse · Journal of Applied Mechanics | Dec 1978 | 930 |
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.