2026 John R. Willis: Mechanical and Aerospace Engineering Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mechanical and Aerospace Engineering	68	430	389	23	20	227	20149

Research.com Recognitions

2004 - Member of the National Academy of Engineering For contributions to the micromechanics of engineering materials and the establishment of rigorous bounds on the properties of nonlinear composites.
1998 - William Prager Medal
1997 - Timoshenko Medal, The American Society of Mechanical Engineers
1992 - Fellow of the Royal Society, United Kingdom

Overview

John R. Willis is affiliated with the University of Cambridge in the United Kingdom. Their research spans multiple fields, primarily focusing on engineering and materials science, with significant contributions in subfields such as mechanics of materials, materials chemistry, biomedical engineering, mathematical physics, and computational theory and mathematics.

Their work addresses a variety of topics, notably acoustic wave phenomena research, composite material mechanics, numerical methods in inverse problems, numerical methods in engineering, advanced mathematical modeling in engineering, metamaterials and metasurfaces applications, and corrosion behavior and inhibition.

Willis has published extensively in several prominent scientific venues. These include:

Journal of the Mechanics and Physics of Solids
Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences
Physical Review Letters
Wave Motion
Biographical Memoirs of Fellows of the Royal Society

The following are examples of Willis's recent research publications:

"Transmission and reflection at the boundary of a random two-component composite," 2020, Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences
"Steady-state growth of an interfacial crack by corrosion," 2020, Journal of the Mechanics and Physics of Solids
"Some personal reflections on acoustic metamaterials," 2021, Wave Motion
"Transmission and reflection of energy at the boundary of a random two-component composite," 2023, Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences
"Energy transmission through and reflection from a layer of random composite," 2024, Journal of the Mechanics and Physics of Solids

Frequent collaborators of Willis include Gal Shmuel, N.A. Fleck, Victoria Turkington, Yasha Kahn, and L. Robin Keller.

Throughout their career, Willis has received several notable awards, including:

Member of the National Academy of Engineering (2004) for contributions to the micromechanics of engineering materials and the establishment of rigorous bounds on the properties of nonlinear composites
William Prager Medal (1998)
Timoshenko Medal, The American Society of Mechanical Engineers (1997)
Fellow of the Royal Society, United Kingdom (1992)

Best Publications

Fracture mechanics for piezoelectric ceramics

Z. Suo;C.-M. Kuo;D.M. Barnett;J.R. Willis

1423
Citations
Bounds and self-consistent estimates for the overall properties of anisotropic composites

J.R. Willis

1357
Citations
On cloaking for elasticity and physical equations with a transformation invariant form

Graeme W Milton;Marc Briane;John R Willis

1237
Citations
A micromechanics-based nonlocal constitutive equation and estimates of representative volume element size for elastic composites

W.J. Drugan;J.R. Willis

1194
Citations
Variational and Related Methods for the Overall Properties of Composites

J.R. Willis

1072
Citations
The effect of spatial distribution on the effective behavior of composite materials and cracked media

P.Ponte Castañeda;J.R. Willis

885
Citations
On modifications of Newton's second law and linear continuum elastodynamics

Graeme W Milton;John R Willis

737
Citations
Variational Principles for Inhomogeneous Non-linear Media

D. R. S. Talbot;J. R. Willis

437
Citations
Hertzian contact of anisotropic bodies

J.R. Willis

437
Citations
Fracture mechanics of interfacial cracks

J.R. Willis

422
Citations
Variational principles for dynamic problems for inhomogeneous elastic media

J.R. Willis

334
Citations
The overall elastic response of composite materials

J. R. Willis

316
Citations
A comparison of the fracture criteria of griffith and barenblatt

J.R. Willis

263
Citations
On methods for bounding the overall properties of nonlinear composites

J.R. Willis

257
Citations
A mathematical basis for strain-gradient plasticity theory. Part II: Tensorial plastic multiplier

N.A. Fleck;J.R. Willis

256
Citations
A Reformation of the Equations of Anisotropic Poroelasticity

M. Thompson;J. R. Willis

252
Citations
The role of interfaces in enhancing the yield strength of composites and polycrystals

K.E. Aifantis;J.R. Willis

234
Citations
The energy of an array of dislocations: Implications for strain relaxation in semiconductor heterostructures

J. R. Willis;Suresh c. Jain;R. Bullough

228
Citations
Self-Similar Problems in Elastodynamics

J. R. Willis

206
Citations
Effective constitutive relations for waves in composites and metamaterials

J. R. Willis

204
Citations
Polarization approach to the scattering of elastic waves—I. Scattering by a single inclusion

J.R. Willis

198
Citations

Frequent Co-Authors

Alexander Movchan University of Liverpool

Raimondo Luciano Parthenope University of Naples

Norman A. Fleck University of Cambridge

P. Ponte Castañeda University of Pennsylvania

Graeme W. Milton University of Utah

Huajian Gao Tsinghua University

Vikram Deshpande Harvard University

J.Th.M. De Hosson University of Groningen

John W. Hutchinson Harvard University

Sia Nemat-Nasser University of California, San Diego

External Links

Personal website of John R. Willis Google Scholar page

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