Justification of the Cauchy–Born Approximation of Elastodynamics

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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Bibliographic Details
Published inArchive for rational mechanics and analysis Vol. 207; no. 3; pp. 1025 - 1073
Main Authors Ortner, C., Theil, F.
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer-Verlag 01.03.2013
Springer Nature B.V
Subjects
Approximation
Archives
Classical Mechanics
Complex Systems
Convergence
Dynamics
Elastodynamics
Fluid- and Aerodynamics
Intervals
Mathematical analysis
Mathematical and Computational Physics
Physics
Physics and Astronomy
Theoretical
Atomistic Model
Inversion Symmetry
Homogeneous Sobolev Space
Bravais Lattice
Born Approximation
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Summary: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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ISSN:0003-9527
1432-0673
DOI:10.1007/s00205-012-0592-6