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Microscale reduction error indicators and estimators for a periodic heterogeneous medium

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Abstract

Quantification of idealization errors associated with homogenization of periodic heterogenous medium is presented. The proposed Microscale Reduction Error (MRE) estimators and indicators are based on estimating the uniform validity properties of the double scale asymptotic expansion. The technique leads to a reliable quality control of the microscopic response of interest which is obtained on the basis of the mathematical homogenization theory.

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Authors and Affiliations

  1. Department of Civil Engineering, Rensselaer Polytechnic Institute, 12180, Troy, NY, USA

    J. Fish

  2. Scientific Computation Research Center, Rensselaer Polytechnic Institute, 12180, Troy, NY, USA

    J. Fish

  3. Department of Mechanical Engineering, Aeronautical Engineering and Mechanics, Rensselaer Polytechnic Institute, Troy, USA

    P. Nayak

  4. Department of Mathematics, Rensselaer Polytechnic Institute, Troy, USA

    M. H. Holmes

Authors
  1. J. Fish
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  2. P. Nayak
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  3. M. H. Holmes
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Communicated by S. N. Atluri, 27 January 1994

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Fish, J., Nayak, P. & Holmes, M.H. Microscale reduction error indicators and estimators for a periodic heterogeneous medium. Computational Mechanics 14, 323–338 (1994). https://doi.org/10.1007/BF00350003

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  • DOI: https://doi.org/10.1007/BF00350003

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