J.R. Willis

15.9k total citations · 5 hit papers
193 papers, 11.4k citations indexed

About

J.R. Willis is a scholar working on Mechanics of Materials, Materials Chemistry and Biomedical Engineering. According to data from OpenAlex, J.R. Willis has authored 193 papers receiving a total of 11.4k indexed citations (citations by other indexed papers that have themselves been cited), including 148 papers in Mechanics of Materials, 57 papers in Materials Chemistry and 35 papers in Biomedical Engineering. Recurrent topics in J.R. Willis's work include Composite Material Mechanics (81 papers), Numerical methods in engineering (79 papers) and Ultrasonics and Acoustic Wave Propagation (23 papers). J.R. Willis is often cited by papers focused on Composite Material Mechanics (81 papers), Numerical methods in engineering (79 papers) and Ultrasonics and Acoustic Wave Propagation (23 papers). J.R. Willis collaborates with scholars based in United Kingdom, United States and Italy. J.R. Willis's co-authors include Graeme W. Milton, W. J. Drugan, D. R. S. Talbot, R. Bullough, N.A. Fleck, Marc Briane, Zhigang Suo, D. M. Barnett, Chung-Lun Kuo and Katerina E. Aifantis and has published in prestigious journals such as Nature, Physical Review Letters and Physical review. B, Condensed matter.

In The Last Decade

J.R. Willis

190 papers receiving 10.9k citations

Hit Papers

5 papers align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

Fracture mechanics for piezoelectric ceramics

1992 968 citations J.R. Willis et al. Journal of the Mechanics and Physics of Solids profile →
Bounds and self-consistent estimates for the overall properties of anisotropic composites

1977 860 citations J.R. Willis Journal of the Mechanics and Physics of Solids profile →
On cloaking for elasticity and physical equations with a transformation invariant form

2006 728 citations J.R. Willis et al. profile →
A micromechanics-based nonlocal constitutive equation and estimates of representative volume element size for elastic composites

1996 676 citations J.R. Willis et al. Journal of the Mechanics and Physics of Solids profile →
On modifications of Newton's second law and linear continuum elastodynamics

2007 488 citations J.R. Willis et al. Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
J.R. Willis United Kingdom	52	7.9k	3.0k	2.6k	1.7k	1.4k	193	11.4k
Gérard A. Maugin France	48	7.2k 0.9×	4.0k 1.3×	3.3k 1.3×	1.4k 0.8×	668 0.5×	328	10.7k
Graeme W. Milton United States	46	5.1k 0.6×	1.1k 0.4×	3.3k 1.3×	1.7k 1.0×	2.3k 1.7×	157	11.1k
Martin Ostoja‐Starzewski United States	44	5.0k 0.6×	2.9k 1.0×	1.0k 0.4×	1.5k 0.9×	1.0k 0.8×	262	8.7k
T. Mura United States	44	8.9k 1.1×	5.1k 1.7×	1.0k 0.4×	5.0k 2.9×	939 0.7×	219	13.3k
Christian Miehé Germany	59	12.3k 1.6×	3.6k 1.2×	3.8k 1.5×	3.8k 2.2×	1.7k 1.2×	172	15.8k
Kaushik Bhattacharya United States	50	2.4k 0.3×	5.0k 1.7×	2.7k 1.1×	2.3k 1.4×	542 0.4×	211	8.8k
D. M. Barnett United States	41	4.6k 0.6×	2.2k 0.7×	1.2k 0.5×	1.8k 1.1×	322 0.2×	131	7.4k
Andrew N. Norris United States	47	3.1k 0.4×	836 0.3×	3.2k 1.3×	1.2k 0.7×	362 0.3×	254	7.7k
J. D. Eshelby United Kingdom	32	10.5k 1.3×	6.8k 2.3×	2.1k 0.8×	5.0k 2.9×	1.3k 0.9×	46	18.4k
Ernian Pan United States	55	9.5k 1.2×	3.7k 1.2×	1.5k 0.6×	1.7k 1.0×	226 0.2×	419	12.4k

Countries citing papers authored by J.R. Willis

Since Specialization

Citations

This map shows the geographic impact of J.R. Willis'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 J.R. Willis with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites J.R. Willis more than expected).

Fields of papers citing papers by J.R. Willis

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by J.R. Willis. 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 J.R. Willis. The network helps show where J.R. Willis may publish in the future.

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

This figure shows the co-authorship network connecting the top 25 collaborators of J.R. Willis. A scholar is included among the top collaborators of J.R. Willis 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 J.R. Willis. J.R. Willis is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Shmuel, Gal & J.R. Willis. (2025). Thermally Bianisotropic Metamaterials Induced by Spatial Asymmetry. Physical Review Letters. 135(11). 116303–116303.

Willis, J.R.. (2023). Transmission and reflection of energy at the boundary of a random two-component composite. Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences. 479(2271). 4 indexed citations

Vinogradov, Vladimir & J.R. Willis. (2007). The pair distribution function for an array of screw dislocations. International Journal of Solids and Structures. 45(13). 3726–3738. 9 indexed citations

Luciano, Raimondo & J.R. Willis. (2003). Boundary-layer corrections for stress and strain fields in randomly heterogeneous materials. Journal of the Mechanics and Physics of Solids. 51(6). 1075–1088. 49 indexed citations

Movchan, A. B., et al.. (2002). Perturbation of a dynamic planar crack moving in a model viscoelastic solid. International Journal of Solids and Structures. 39(21-22). 5409–5426. 3 indexed citations

Willis, J.R., et al.. (1997). Wave propagation in elastic media with cracks. Part I: transient nonlinear response of a single crack. European Journal of Mechanics - A/Solids. 16(3). 377–408. 8 indexed citations

Willis, J.R.. (1997). IUTAM Symposium on Nonlinear Analysis of Fracture : proceedings of the IUTAM symposium held in Cambridge, U.K., 3-7 September 1995. 1 indexed citations

Castañeda, Pedro Ponte, et al.. (1997). The Effect of Particle Size, Shape, Distribution and Their Evolution on the Constitutive Response of Nonlinearly Viscous Composites. II. Examples. Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences. 355(1730). 1835–1852.

Movchan, A. B. & J.R. Willis. (1995). Dynamic weight functions for a moving crack. II. Shear loading. Journal of the Mechanics and Physics of Solids. 43(9). 1369–1383. 20 indexed citations

10.

Talbot, D. R. S. & J.R. Willis. (1994). Upper and lower bounds for the overall properties of a nonlinear composite dielectric. I. Random microgeometry. Proceedings of the Royal Society of London Series A Mathematical and Physical Sciences. 447(1930). 365–384. 37 indexed citations

11.

Talbot, D. R. S. & J.R. Willis. (1994). Upper and lower bounds for the overall properties of a nonlinear composite dielectric. II. Periodic microgeometry. Proceedings of the Royal Society of London Series A Mathematical and Physical Sciences. 447(1930). 385–396. 37 indexed citations

12.

Willis, J.R.. (1994). Upper and lower bounds for non-linear composite behaviour. Materials Science and Engineering A. 175(1-2). 7–14. 26 indexed citations

13.

Gosling, T. J., R. Bullough, S.C. Jain, & J.R. Willis. (1993). Misfit dislocation distributions in capped (buried) strained semiconductor layers. Journal of Applied Physics. 73(12). 8267–8278. 41 indexed citations

14.

Cankurtaran, Mustafa, et al.. (1989). Bulk modulus and its pressure derivative ofYBa2Cu3O7−x. Physical review. B, Condensed matter. 39(4). 2872–2875. 49 indexed citations

15.

Willis, J.R., et al.. (1988). The influence of crack size on the ductile-brittle transition. Proceedings of the Royal Society of London A Mathematical and Physical Sciences. 415(1848). 197–226. 33 indexed citations

16.

Castañeda, Pedro Ponte & J.R. Willis. (1988). On the overall properties of nonlinearly viscous composites. Proceedings of the Royal Society of London A Mathematical and Physical Sciences. 416(1850). 217–244. 66 indexed citations

17.

Talbot, D. R. S. & J.R. Willis. (1986). A variational approach to the overall sink strength of a nonlinear lossy composite medium. Proceedings of the Royal Society of London A Mathematical and Physical Sciences. 405(1828). 159–180. 9 indexed citations

18.

Talbot, D. R. S. & J.R. Willis. (1980). The effective sink strength of a random array of voids in irradiated material. Proceedings of the Royal Society of London A Mathematical and Physical Sciences. 370(1742). 351–374. 16 indexed citations

19.

Willis, J.R. & Rodney Hill. (1973). Self-similar problems in elastodynmics. Philosophical Transactions of the Royal Society of London Series A Mathematical and Physical Sciences. 274(1240). 435–491. 120 indexed citations

20.

Willis, J.R., M.R. Hayns, & Ronald Bullough. (1972). The dislocation void interaction. Proceedings of the Royal Society of London A Mathematical and Physical Sciences. 329(1576). 121–136. 17 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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