Most cited papers in Contact Mechanics and Variational Inequalities
What are the most cited papers in Contact Mechanics and Variational Inequalities?
The most cited paper in Contact Mechanics and Variational Inequalities is "Elastic crack growth in finite elements with minimal remeshing" (Ted Belytschko, T. Howard Black, 1999), with 4,852 citations. Next come "A continuum theory of elastic material surfaces" (3,188) and "Nonlinear Solid Mechanics: A Continuum Approach for Engineering" (2,743).
Showing 50 of 100 papers. Every paper with more than 333 citations is listed.
| # | Paper | ||
|---|---|---|---|
| 1 | Elastic crack growth in finite elements with minimal remeshing Ted Belytschko, T. Howard Black · International Journal for Numerical Methods in Engineering | 20 Jun 1999 | 4,852 |
| 2 | A continuum theory of elastic material surfaces Morton E. Gurtin, A. Ian Murdoch · Archive for Rational Mechanics and Analysis | Dec 1975 | 3,188 |
| 3 | Nonlinear Solid Mechanics: A Continuum Approach for Engineering Gerhard A. Holzapfel | 23 Mar 2000 | 2,743 |
| 4 | 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 |
| 5 | Convexity conditions and existence theorems in nonlinear elasticity John Macleod Ball · Archive for Rational Mechanics and Analysis | Dec 1976 | 2,451 |
| 6 | Theory of Thermal Stresses Bruno A. Boley, Jerome H. Weiner, Ellis H. Dill · Physics Today | Mar 1961 | 2,269 |
| 7 | Inequalities in Mechanics and Physics Georges Duvaut, J. L. Lions, Camille John et al. · Journal of Applied Mechanics | Jun 1977 | 1,887 |
| 8 | Numerical Methods for Nonlinear Variational Problems Roland Glowinski, J. Tinsley Oden · Journal of Applied Mechanics | Sep 1985 | 1,568 |
| 9 | 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 |
| 10 | BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS L. Beirão da Veiga, Franco Brezzi, Andrea Cangiani et al. · Mathematical Models and Methods in Applied Sciences | 27 Jun 2012 | 1,543 |
| 11 | The boundary element method for engineers C.A. Brebbia · Applied Ocean Research | Jul 1981 | 1,519 |
| 12 | Stress Concentration Factors R. E. Peterson, Robert K. Plunkett · Journal of Applied Mechanics | Mar 1975 | 1,304 |
| 13 | The boundary element method for engineers P. Ward · Computer-Aided Design | Nov 1978 | 1,255 |
| 14 | Variational inequalities J. L. Lions, G. Stampacchia · Communications on Pure and Applied Mathematics | Aug 1967 | 1,233 |
| 15 | Arbitrary discontinuities in finite elements Ted Belytschko, Nicolas Mo�s, Shuji Usui et al. · International Journal for Numerical Methods in Engineering | 2001 | 1,098 |
| 16 | Advanced strength and applied elasticity Ansel C. Ugural, Saul K. Fenster | 1975 | 993 |
| 17 | A crack opening stress equation for fatigue crack growth James C. Newman · International Journal of Fracture | Apr 1984 | 923 |
| 18 | An augmented lagrangian treatment of contact problems involving friction J.C. Simo, Tod A. Laursen · Computers & Structures | 1992 | 912 |
| 19 | A Crack Between Dissimilar Media A. H. England · Journal of Applied Mechanics | Jun 1965 | 905 |
| 20 | Boundary Element Methods in Solid Mechanics Steven L. Crouch, Anthony M. Starfield, F. Rizzo · Journal of Applied Mechanics | Sep 1983 | 902 |
| 21 | The non-smooth contact dynamics method Marcel Jean · Computer Methods in Applied Mechanics and Engineering | Jul 1999 | 898 |
| 22 | Three-Dimensional Elastic Bodies in Rolling Contact J. J. Kalker, K. L. Johnson · Journal of Applied Mechanics | Mar 1993 | 884 |
| 23 | A first course in the finite element method Douglas H. Norrie · Finite Elements in Analysis and Design | Jul 1987 | 870 |
| 24 | New Approximation Schemes for General Variational Inequalities Muhammad Aslam Noor · Journal of Mathematical Analysis and Applications | Nov 2000 | 842 |
| 25 | A finite element method for the simulation of strong and weak discontinuities in solid mechanics Anita Hansbo, Peter Hansbo · Computer Methods in Applied Mechanics and Engineering | 29 Feb 2004 | 824 |
| 26 | Discrete and Continuous Boundary Problems F. V. Atkinson, George H. Weiss · Physics Today | Sep 1964 | 824 |
| 27 | Unilateral Contact and Dry Friction in Finite Freedom Dynamics Jean Jacques Moreau | 1988 | 764 |
| 28 | The Crack Problem for a Nonhomogeneous Plane Feridun Delale, F. Erdoğan · Journal of Applied Mechanics | Sep 1983 | 762 |
| 29 | A mixed formulation for frictional contact problems prone to Newton like solution methods Pierre Alart, A. Curnier · Computer Methods in Applied Mechanics and Engineering | Nov 1991 | 755 |
| 30 | The Contact Problem for Viscoelastic Bodies E. H. Lee, J. R. M. Radok · Journal of Applied Mechanics | Sep 1960 | 735 |
| 31 | Incompressible flow and the finite element method Joanna Szmelter · Proceedings of the Institution of Mechanical Engineers Part G Journal of Aerospace Engineering | Mar 2001 | 701 |
| 32 | Singularities, interfaces and cracks in dissimilar anisotropic media Zhigang Suo · Proceedings of the Royal Society of London A Mathematical and Physical Sciences | 8 Feb 1990 | 695 |
| 33 | NUMERICAL MODELLING OF DISCONTINUA Peter A. Cundall, Roger D. Hart · Engineering Computations | Feb 1992 | 676 |
| 34 | AN IMPLICIT TIME-STEPPING SCHEME FOR RIGID BODY DYNAMICS WITH INELASTIC COLLISIONS AND COULOMB FRICTION David E. Stewart, Jeff Trinkle · International Journal for Numerical Methods in Engineering | 15 Aug 1996 | 651 |
| 35 | Rigid-Body Dynamics with Friction and Impact David E. Stewart · SIAM Review | 2000 | 635 |
| 36 | A beam finite element non‐linear theory with finite rotations Alberto Cardona, Michel Géradin · International Journal for Numerical Methods in Engineering | Nov 1988 | 624 |
| 37 | Regularity for Double Phase Variational Problems Maria Colombo, Giuseppe Mingione · Archive for Rational Mechanics and Analysis | 14 Aug 2014 | 596 |
| 38 | Dynamic crack propagation based on loss of hyperbolicity and a new discontinuous enrichment Ted Belytschko, Hao Chen, Jingxiao Xu et al. · International Journal for Numerical Methods in Engineering | 9 Oct 2003 | 589 |
| 39 | Variational methods in elasticity and plasticity Steven C. Batterman · Materials Science and Engineering | Mar 1969 | 580 |
| 40 | Equilibrium of bars Jerald Laverne Ericksen · Journal of Elasticity | Nov 1975 | 575 |
| 41 | An extended finite element method for modeling crack growth with frictional contact John E. Dolbow, Nicolas Moës, Ted Belytschko · Computer Methods in Applied Mechanics and Engineering | Oct 2001 | 573 |
| 42 | A plasticity theory for porous solids R.J. Green · International Journal of Mechanical Sciences | Apr 1972 | 538 |
| 43 | On uniqueness in dynamic poroelasticity Herbert Deresiewicz, Richard Skalak · Bulletin of the Seismological Society of America | Jul 1963 | 520 |
| 44 | Non‐smooth multisurface plasticity and viscoplasticity. Loading/unloading conditions and numerical algorithms J.C. Simo, J. G. Kennedy, Sanjay Govindjee · International Journal for Numerical Methods in Engineering | Oct 1988 | 509 |
| 45 | A general variational principle and some of its applications Biagio Ricceri · Journal of Computational and Applied Mathematics | 2000 | 509 |
| 46 | Formulating Dynamic Multi-Rigid-Body Contact Problems with Friction as Solvable Linear Complementarity Problems Mihai Anitescu, Florian Alexandru Potra · Nonlinear Dynamics | Nov 1997 | 501 |
| 47 | A finite element method for a class of contact-impact problems Thomas J.R. Hughes, Robert L. Taylor, Jerome L. Sackman et al. · Computer Methods in Applied Mechanics and Engineering | Jul 1976 | 498 |
| 48 | Solution of Crack Problems: The Distributed Dislocation Technique Dawid A. Hills, Piaras Kelly, D. N. Dai et al. · Journal of Applied Mechanics | Jun 1998 | 494 |
| 49 | Solving monotone inclusions via compositions of nonexpansive averaged operators Patrick L. Combettes · Optimization | Oct 2004 | 492 |
| 50 | W1,p-quasiconvexity and variational problems for multiple integrals John Macleod Ball, François Murat · Journal of Functional Analysis | Oct 1984 | 492 |
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.