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Justification of the Cauchy–Born Approximation of Elastodynamics

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Abstract

We present sharp convergence results for the Cauchy—Born approximation of general classical atomistic interactions, for static problems with small data and for dynamic problems on a macroscopic time interval.

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  1. Mathematics Institute, Zeeman Building, University of Warwick, Coventry, CV4 7AL, UK

    C. Ortner & F. Theil

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  1. C. Ortner
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  2. F. Theil
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Correspondence to F. Theil.

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Communicated by C. Le Bris

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Ortner, C., Theil, F. Justification of the Cauchy–Born Approximation of Elastodynamics. Arch Rational Mech Anal 207, 1025–1073 (2013). https://doi.org/10.1007/s00205-012-0592-6

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  • DOI: https://doi.org/10.1007/s00205-012-0592-6

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