R. J. Knops

8.5k total citations · 1 hit paper
109 papers, 2.3k citations indexed

About

R. J. Knops is a scholar working on Mechanics of Materials, Computational Theory and Mathematics and Biomedical Engineering. According to data from OpenAlex, R. J. Knops has authored 109 papers receiving a total of 2.3k indexed citations (citations by other indexed papers that have themselves been cited), including 64 papers in Mechanics of Materials, 49 papers in Computational Theory and Mathematics and 39 papers in Biomedical Engineering. Recurrent topics in R. J. Knops's work include Advanced Mathematical Modeling in Engineering (37 papers), Elasticity and Material Modeling (33 papers) and Elasticity and Wave Propagation (28 papers). R. J. Knops is often cited by papers focused on Advanced Mathematical Modeling in Engineering (37 papers), Elasticity and Material Modeling (33 papers) and Elasticity and Wave Propagation (28 papers). R. J. Knops collaborates with scholars based in United Kingdom, United States and Italy. R. J. Knops's co-authors include L. E. Payne, James N. Flavin, E. W. Wilkes, Gaetano Fichera, Charles Stuart, T.R. Steel, Howard A. Levine, V. V. Bolotin, M. Hayes and Salvatore Rionero and has published in prestigious journals such as Journal of Applied Mechanics, Journal of the Mechanics and Physics of Solids and International Journal of Solids and Structures.

In The Last Decade

R. J. Knops

94 papers receiving 2.1k citations

Hit Papers

align trajectories

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
R. J. Knops United Kingdom	23	1.3k	721	608	413	347	109	2.3k
Tomáš Roubı́ček Czechia	25	1.1k 0.8×	1.3k 1.8×	635 1.0×	416 1.0×	440 1.3×	137	2.6k
Giuseppe Geymonat France	19	749 0.6×	534 0.7×	349 0.6×	106 0.3×	193 0.6×	65	1.4k
Michel Frémond Italy	18	867 0.7×	599 0.8×	296 0.5×	285 0.7×	125 0.4×	75	1.7k
Roger Fosdick United States	23	730 0.6×	366 0.5×	1.5k 2.4×	196 0.5×	244 0.7×	121	2.7k
Enrique Sanchez-Palencia France	10	2.7k 2.0×	2.2k 3.0×	457 0.8×	134 0.3×	195 0.6×	13	3.9k
Paolo Podio–Guidugli Italy	24	1.1k 0.8×	342 0.5×	746 1.2×	127 0.3×	102 0.3×	135	1.9k
Georges Duvaut France	12	2.3k 1.8×	2.7k 3.7×	558 0.9×	668 1.6×	985 2.8×	23	4.7k
Josef Málek Czechia	33	457 0.3×	1.1k 1.6×	771 1.3×	575 1.4×	1.4k 4.1×	126	3.2k
Frederick Bloom United States	17	267 0.2×	290 0.4×	202 0.3×	327 0.8×	271 0.8×	74	1.1k
Igor V. Andrianov Germany	23	1.5k 1.2×	518 0.7×	457 0.8×	337 0.8×	46 0.1×	205	2.5k

Countries citing papers authored by R. J. Knops

Since Specialization

Citations

This map shows the geographic impact of R. J. Knops's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by R. J. Knops with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites R. J. Knops more than expected).

Fields of papers citing papers by R. J. Knops

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by R. J. Knops. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by R. J. Knops. The network helps show where R. J. Knops may publish in the future.

Co-authorship network of co-authors of R. J. Knops

This figure shows the co-authorship network connecting the top 25 collaborators of R. J. Knops. A scholar is included among the top collaborators of R. J. Knops based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with R. J. Knops. R. J. Knops is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

1.

Gimperlein, Heiko, Michael Grinfeld, R. J. Knops, & Marshall Slemrod. (2025). On singular behaviour in a plane linear elastostatics problem. Mathematics and Mechanics of Solids. 30(9). 1979–2000.

2.

Knops, R. J. & R. Quintanilla. (2024). Asymptotic spatial behaviour in linearised thermoelasticity for non-compact regions. International Journal of Non-Linear Mechanics. 166. 104826–104826. 1 indexed citations

3.

Knops, R. J. & R. Quintanilla. (2024). Asymptotic spatial behavior for the heat equation on noncompact regions. Studies in Applied Mathematics. 152(4). 1049–1076. 3 indexed citations

4.

Gimperlein, Heiko, Michael Grinfeld, R. J. Knops, & Marshall Slemrod. (2023). Non-uniqueness in plane fluid flows. Quarterly of Applied Mathematics. 82(3). 535–561. 3 indexed citations

5.

Knops, R. J.. (2021). Computable Constants for Korn’s Inequalities on Riemannian Manifolds. Journal of Elasticity. 147(1-2). 59–82. 2 indexed citations

6.

Knops, R. J.. (2014). Zanaboni’s formulation of Saint-Venant’s principle extended to linear thermo-elasticity. Journal of Engineering Mathematics. 95(1). 73–86. 1 indexed citations

7.

Knops, R. J. & Piero Villaggio. (2011). On oblique impact of a rigid rod against a Winkler foundation. Continuum Mechanics and Thermodynamics. 24(4-6). 559–582. 1 indexed citations

8.

Villaggio, Piero & R. J. Knops. (2009). On Saint-Venant's Principle for elastic-Plastic Bodies. Mathematics and Mechanics of Solids. 601–621. 1 indexed citations

9.

Knops, R. J. & Carmine Trimarco. (2009). Uniqueness of the nonlinear elastic dielectric affine boundary value problem on the whole space and on cone-like regions. Continuum Mechanics and Thermodynamics. 22(1). 63–76.

10.

Knops, R. J. & Piero Villaggio. (2001). An elementary theory of the oblique impact of rods. 12(1). 49–56.

11.

Knops, R. J. & H. T. Williams. (2000). On uniqueness of the null traction boundary value problem in nonlinear elastostatics. 1 indexed citations

12.

Flavin, James N., R. J. Knops, & L. E. Payne. (1989). Decay estimates for the constrained elastic cylinder of variable cross section. Quarterly of Applied Mathematics. 47(2). 325–350. 106 indexed citations

13.

Knops, R. J.. (1988). Book Review: Ill-posed problems of mathematical physics and analysis. Bulletin of the American Mathematical Society. 19(1). 332–338. 7 indexed citations

14.

Knops, R. J.. (1983). Dynamic Coupled Thermoelasticity (Ranjit S. Dhaliwal and Avtar Singh). SIAM Review. 25(1). 126–127.

15.

Knops, R. J.. (1978). Nonlinearanalysis and Mechanics : Heriot-Watt Symposium. Pitman eBooks. 228 indexed citations

16.

Hills, R. N. & R. J. Knops. (1975). 19.—Concavity and the Evolutionary Properties of a Class of General Materials. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 72(3). 239–243. 2 indexed citations

17.

Knops, R. J. & L. E. Payne. (1971). Uniqueness Theorems in Linear Elasticity. CERN Document Server (European Organization for Nuclear Research). 141 indexed citations

18.

Knops, R. J. & L. E. Payne. (1968). Uniqueness in classical elastodynamics. Archive for Rational Mechanics and Analysis. 27(5). 349–355. 31 indexed citations

19.

Knops, R. J., E. W. Wilkes, & V. V. Bolotin. (1966). The Dynamic Stability of Elastic Systems. The Mathematical Gazette. 50(374). 445–445. 45 indexed citations

20.

Knops, R. J. & E. W. Wilkes. (1966). The Dynamic Stability of Elastic Systems. By V. V. Bolotin. 1964. (Holden-Day) - Non-Conservative Problems of the Theory of Elastic Stability. V. V. Bolotin. 1963. (Pergamon). The Mathematical Gazette. 50(374). 445–448. 75 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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