World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
61
Citations
21639
World Ranking
501
National Ranking
262

Research.com Recognitions

  • 2009 - SIAM Fellow For contributions to the modeling and analysis of composite materials.
  • 2007 - William Prager Medal
  • 1988 - Fellow of Alfred P. Sloan Foundation

Overview

Graeme W. Milton is affiliated with the University of Utah in the United States. Their research spans multiple fields with a primary focus on engineering and computer science, encompassing areas such as mechanics of materials, computational theory and mathematics, biomedical engineering, atomic and molecular physics and optics, and civil and structural engineering.

Their work addresses a variety of topics including composite material mechanics, advanced mathematical modeling in engineering, numerical methods in engineering, acoustic wave phenomena research, electromagnetic scattering and analysis, thermoelastic and magnetoelastic phenomena, and elasticity and material modeling.

Recent publications by Graeme W. Milton include:

  • A biomimetic sliding-stretching approach to seismic isolation (2021), published in Nonlinear Dynamics
  • Tight Bounds on the Effective Complex Permittivity of Isotropic Composites and Related Problems (2020), published in Physical Review Applied
  • Frontal waves and transmissions for temporal laminates and imperfect chiral interfaces (2022), published in Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences
  • Limit analysis of strut nets (2022), published in Mathematics and Mechanics of Solids
  • A Possible Explanation of Dark Matter and Dark Energy Involving a Vector Torsion Field (2022), published in Universe

Frequent co-authors of Milton include Ornella Mattei, Kshiteej J. Deshmukh, Ada Amendola, Mihai Putinar, and Pierre Seppecher.

Milton's publications often appear in venues such as arXiv (Cornell University), Applied Physics Letters, Journal of the Mechanics and Physics of Solids, Default Digital Object Group, and Nonlinear Dynamics.

In addition to journal articles, Milton has contributed to academic literature through books. One such publication is The Theory of Composites, released in 2022 by the Society for Industrial and Applied Mathematics.

Milton's professional recognitions include being named a SIAM Fellow in 2009 for contributions to the modeling and analysis of composite materials, receipt of the William Prager Medal in 2007, and designation as a Fellow of the Alfred P. Sloan Foundation in 1988.

Best Publications

  • The Theory of Composites

    Graeme Walter Milton

  • Theory of Composites. Cambridge Monographs on Applied and Computational Mathematics

    GW Milton;AT Sawicki

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

    Graeme W Milton;Marc Briane;John R Willis

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

    Graeme W Milton;John R Willis

  • On the cloaking effects associated with anomalous localized resonance

    Graeme W. Milton;Nicolae Alexandru P Nicorovici

  • Which Elasticity Tensors are Realizable

    Graeme W. Milton;Andrej V. Cherkaev

  • Composite materials with poisson's ratios close to — 1

    Graeme W. Milton

  • Bounds on the complex permittivity of a two‐component composite material

    G. W. Milton

  • A fast numerical scheme for computing the response of composites using grid refinement

    D. J. Eyre;G. W. Milton

  • Nonmagnetic cloak with minimized scattering

    Wenshan Cai;Uday K. Chettiar;Alexander V. Kildishev;Vladimir M. Shalaev

  • Bounds on the Electromagnetic, Elastic, and Other Properties of Two-Component Composites

    G. W. Milton

  • Variational bounds on the effective moduli of anisotropic composites

    Graeme W. Milton;Robert V. Kohn

  • Bounds on the complex dielectric constant of a composite material

    G. W. Milton

  • Bounds on the transport and optical properties of a two‐component composite material

    G. W. Milton

  • Optical and dielectric properties of partially resonant composites

    N. A. Nicorovici;R. C. McPhedran;G. W. Milton

  • On characterizing the set of possible effective tensors of composites: The variational method and the translation method

    Graeme W. Milton

  • Exact results for generalized Gassmann's equations in composite porous media with two constituents

    James G. Berryman;Graeme W. Milton

  • Bounds on the elastic and transport properties of two-component composites

    G.W. Milton

  • New Bounds on Effective Elastic Moduli of Two-Component Materials

    Graeme W. Milton;N. Phan-Thien

  • Spectral Theory of a Neumann–Poincaré-Type Operator and Analysis of Cloaking Due to Anomalous Localized Resonance

    Habib Ammari;Giulio Ciraolo;Hyeonbae Kang;Hyundae Lee

  • Quasistatic cloaking of two-dimensional polarizable discrete systems by anomalous resonance.

    Nicolae Alexandra P Nicorovici;Graeme W. Milton;Ross C. McPhedran;Lindsay C. Botten

Frequent Co-Authors

Ross C. McPhedran
Ross C. McPhedran University of Sydney
Hyeonbae Kang
Hyeonbae Kang Inha University
Habib Ammari
Habib Ammari ETH Zurich
Marco Avellaneda
Marco Avellaneda Courant Institute of Mathematical Sciences
James G. Berryman
James G. Berryman Lawrence Berkeley National Laboratory
Alexander Movchan
Alexander Movchan University of Liverpool
Robert V. Kohn
Robert V. Kohn Courant Institute of Mathematical Sciences
Pierre Suquet
Pierre Suquet Aix-Marseille University
Martin Wegener
Martin Wegener Karlsruhe Institute of Technology
Vladimir M. Shalaev
Vladimir M. Shalaev Purdue University West Lafayette

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