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An Exact Result for the Macroscopic Response of Porous Neo-Hookean Solids

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Abstract

Making use of the particulate microgeometries of Idiart (J. Mech. Phys. Solids 56:2599–2617, 2008), we derive an exact and closed-form result for the macroscopic response of porous Neo-Hookean solids with random microstructures. The stored-energy function is a solution to a Hamilton-Jacobi equation with initial porosity and macroscopic deformation gradient playing the roles of time and space. The main theoretical and practical aspects of the result are discussed.

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Authors and Affiliations

  1. Department of Mechanical Engineering, State University of New York, Stony Brook, NY, 11794-2300, USA

    Oscar Lopez-Pamies

  2. Área Departamental Aeronáutica, Facultad de Ingeniería, Universidad Nacional de La Plata, Calle 1 y 47, La Plata, B1900TAG, Argentina

    Martín I. Idiart

  3. Centre for Micromechanics, Department of Engineering, University of Cambridge, Cambridge, CB4 1PZ, UK

    Martín I. Idiart

Authors
  1. Oscar Lopez-Pamies
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  2. Martín I. Idiart
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Correspondence to Oscar Lopez-Pamies.

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Lopez-Pamies, O., Idiart, M.I. An Exact Result for the Macroscopic Response of Porous Neo-Hookean Solids. J Elasticity 95, 99–105 (2009). https://doi.org/10.1007/s10659-009-9193-5

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  • DOI: https://doi.org/10.1007/s10659-009-9193-5

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