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International Journal for Multiscale Computational Engineering
Импакт фактор: 1.016 5-летний Импакт фактор: 1.194 SJR: 0.452 SNIP: 0.68 CiteScore™: 1.18

ISSN Печать: 1543-1649
ISSN Онлайн: 1940-4352

Выпуски:
Том 17, 2019 Том 16, 2018 Том 15, 2017 Том 14, 2016 Том 13, 2015 Том 12, 2014 Том 11, 2013 Том 10, 2012 Том 9, 2011 Том 8, 2010 Том 7, 2009 Том 6, 2008 Том 5, 2007 Том 4, 2006 Том 3, 2005 Том 2, 2004 Том 1, 2003

International Journal for Multiscale Computational Engineering

DOI: 10.1615/IntJMultCompEng.2011002619
pages 529-542

THE MATCHED ASYMPTOTIC EXPANSION FOR THE COMPUTATION OF THE EFFECTIVE BEHAVIOR OF AN ELASTIC STRUCTURE WITH A THIN LAYER OF HOLES

Giuseppe Geymonat
Université Montpellier II, LMGC, UMR-CNRS 5508, Case Courier 048, Place Eugène Bataillon, 34095 Montpellier Cedex 5, France
Francoise Krasucki
Université Montpellier 2, I3M, UMR-CNRS 5149, Case Courier 051, Place Eugène Bataillon, 34095 Montpellier Cedex 5, France
Sofiane Hendili
Université Montpellier 2, I3M, UMR-CNRS 5149, Case Courier 051, Place Eugène Bataillon, 34095 Montpellier Cedex 5; EPIMACS, INRIA Rocquencourt
Marina Vidrascu
EPIMACS, INRIA Rocquencourt

Краткое описание

In the framework of matched asymptotic expansions we introduce a new efficient and robust method to approximate the behavior of a structure containing a thin layer with periodically distributed micro-holes. A surface (in three dimensions) or a line (in two dimensions), on which particular jumping conditions are defined, substitutes for the initial problem.

ЛИТЕРАТУРА

  1. Abdelmoula, R. and Marigo, J. J., The effective behavior of a fiber bridged crack. DOI: 10.1016/S0022-5096(00)00003-X

  2. Bellieud, M., Geymonat, G., Krasucki, F., and Michaille, G., in preparation.

  3. Bensoussan, A., Lions, J. L., and Papanicolaou, G., Asymptotic Analysis for Periodic Structures.

  4. Forte, S. and Vianello, M., Symmetry classes for elasticity tensors. DOI: 10.1007/BF00042505

  5. François, M., Geymonat, G., and Berthaud, Y., Determination of the symmetries of an experimentally determined stiffness tensor: Application to acoustic measurements. DOI: 10.1016/S0020-7683(97)00303-X

  6. Golubitsky, M., Stewart, I., and Schaeffer, D. G., Singularities and Groups in Bifurcation Theory.

  7. Marigo, J. J. and Pideri, C., The effective behavior of elastic bodies containing microcracks or microholes localized on a surface. DOI: 10.1177/1056789511406914

  8. Nguetseng, G. and Sanchez-Palencia, E., Stress concentration for defects distributed near a surface.

  9. Sanchez-Hubert, J. and Sanchez-Palencia, E., Vibration and Coupling of Continuous Systems: Asymptotic Methods.

  10. Sanchez-Palencia, E., Nonhomogeneous Media and Vibration Theory.


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