Contact Mechanics and Variational Inequalities
Contact Mechanics and Variational Inequalities is a research topic within Computational Theory and Mathematics. Science Explorer counts 11k research works in it since 1950. 12.3% of them reached the world's top 10% most cited for their field and year.
This cluster of papers focuses on computational contact mechanics, particularly on the modeling and numerical analysis of contact, friction, and variational inequalities in the context of finite element methods. The research addresses various aspects such as large deformation, viscoelastic materials, nonlinear dynamics, and the development of numerical algorithms for solving contact problems.
- Contact
- Friction
- Variational Inequalities
- Finite Element
- Mortar Method
- Large Deformation
- Viscoelastic
- Nonlinear Dynamics
- Penalty Method
- Numerical Analysis
- Research works
- 11k fractional, since 1950
- In the world top 10%
- 1.3k per year above
- Top-10% rate
- 12.3% share of its works in the world top 10%
- Growth, 2013–17 → 2018–22
- -6% the tick is no change
Which countries lead Contact Mechanics and Variational Inequalities research?
By volume, China and the United States publish the most (248 and 91 works in 2022–2025).
How concentrated that is
The same countries as shares of everything the list above accounts for. A node where two countries do two thirds of the work and one spread evenly across twelve read alike as a ranking and not at all alike here.
Shares of the rows listed above, not of the whole node.
Which institutions lead Contact Mechanics and Variational Inequalities research?
By volume in 2022–2025, North-Eastern Federal University publishes the most Contact Mechanics and Variational Inequalities research, followed by Université de Perpignan and Cadi Ayyad University.
By volume, 2022–2025
- 1 North-Eastern Federal UniversityRussia 11 works
- 2 Université de PerpignanFrance 9 works
- 3 Cadi Ayyad UniversityMorocco 9 works
- 4 Vellore Institute of Technology UniversityIndia 9 works
- 5 Université Sultan Moulay SlimaneMorocco 9 works
- 6 Jagiellonian UniversityPoland 8 works
- 7 University of KwaZulu-NatalSouth Africa 8 works
- 8 Lavrentyev Institute of HydrodynamicsRussia 8 works
- 9 Yulin Normal UniversityChina 8 works
- 10 University of Electronic Science and Technology of ChinaChina 7 works
Who are the leading researchers in Contact Mechanics and Variational Inequalities?
The most-cited researchers publishing on Contact Mechanics and Variational Inequalities include Jinde Cao, Ted Belytschko and J. N. Reddy.
- 1 Jinde Cao China 4.2k citations
- 2 Ted Belytschko United States 4.1k citations
- 3 J. N. Reddy United States 2.9k citations
- 4 Maurice A. Biot United States 1.9k citations
- 5 M. Ortíz United States 1.8k citations
Ranked by citations received across their whole record, among researchers with at least three works on this topic.
Where is Contact Mechanics and Variational Inequalities research done?
The largest centres of Contact Mechanics and Variational Inequalities research in 2022–2025 are Beijing (China), Moscow (Russia), Chengdu (China) and Hanoi (Vietnam).
Where is the best place to study Contact Mechanics and Variational Inequalities?
Among universities, judged by research, North-Eastern Federal University, Jagiellonian University and University of KwaZulu-Natal score highest, combining excellence, specialisation, size, growth and international reach. Research strength is one signal when choosing where to study; it does not measure teaching.
One dot per university in the table below. The upper left is the interesting corner: small places doing unusually strong work.
| # | University | Score | Top 10% | Specialisation | Works | Growth |
|---|---|---|---|---|---|---|
| 1 | North-Eastern Federal UniversityRussia | 60.6 | 2.8% | 114.6× | 11 | +312.1% |
| 2 | Jagiellonian UniversityPoland | 55.2 | 19.1% | 10.8× | 8 | +183.8% |
| 3 | University of KwaZulu-NatalSouth Africa | 54.5 | 28.6% | 18.7× | 8 | — |
| 4 | Université de PerpignanFrance | 48.9 | 1.6% | 227.7× | 10 | +46.7% |
| 5 | Cadi Ayyad UniversityMorocco | 46.5 | 17.5% | 41.0× | 9 | -66.7% |
| 6 | Université Sultan Moulay SlimaneMorocco | 44.0 | 11.7% | 52.9× | 9 | — |
| 7 | Vellore Institute of Technology UniversityIndia | 43.4 | 65.4% | 7.5× | 9 | — |
Universities only. Score blends excellence (30%), specialisation (25%), size (20%), growth (15%) and international reach (10%), 2015–2022; growth compares 2010–14 with 2015–19.
Is Contact Mechanics and Variational Inequalities research growing?
Output in 2018–2022 was 6% lower than in 2013–2017, peaking in 2025.
The same series as a ribbon — one cell per year, darker for more. The line above answers how much; this answers when.
Which topics inside it are moving
Growth and decline on one axis around a shared zero. Two lists side by side hide the thing that matters: whether the growth dwarfs the decline, or the other way round.