Nonlinear pre-stress for cloaking from antiplane elastic waves

    Research output: Contribution to journalArticlepeer-review


    A theory is presented showing that cloaking of objects from antiplane elastic waves can be achieved by employing nonlinear elastic pre-stress in a neo-Hookean elastomeric material. This approach would appear to eliminate the requirement of metamaterials with inhomogeneous anisotropic shear moduli and density. Waves in the pre-stressed medium are bent around the cloaked (cavity) region by inducing inhomogeneous stress fields via pre-stress. The equation governing antiplane waves in the pre-stressed medium is equivalent to the antiplane equation in an unstressed medium with inhomogeneous and anisotropic shear modulus and isotropic scalar mass density. Note however that these properties are induced naturally by the pre-stress. As the magnitude of pre-stress can be altered at will, this enables objects of varying size and shape to be cloaked by placing them inside the fluid-filled deformed cavity region. © 2011 The Royal Society.
    Original languageEnglish
    Pages (from-to)563-580
    Number of pages17
    JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
    Issue number2138
    Publication statusPublished - 8 Feb 2012


    • Antiplane waves
    • Cloaking
    • Neo-Hookean
    • Pre-stress


    Dive into the research topics of 'Nonlinear pre-stress for cloaking from antiplane elastic waves'. Together they form a unique fingerprint.

    Cite this