Publicou 6 edições por ano
ISSN Imprimir: 1543-1649
ISSN On-line: 1940-4352
Indexed in
THE MATCHED ASYMPTOTIC EXPANSION FOR THE COMPUTATION OF THE EFFECTIVE BEHAVIOR OF AN ELASTIC STRUCTURE WITH A THIN LAYER OF HOLES
RESUMO
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.
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Abdelmoula, R. and Marigo, J. J., The effective behavior of a fiber bridged crack. DOI: 10.1016/S0022-5096(00)00003-X
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Bellieud, M., Geymonat, G., Krasucki, F., and Michaille, G., in preparation.
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Bensoussan, A., Lions, J. L., and Papanicolaou, G., Asymptotic Analysis for Periodic Structures.
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Forte, S. and Vianello, M., Symmetry classes for elasticity tensors. DOI: 10.1007/BF00042505
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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
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Golubitsky, M., Stewart, I., and Schaeffer, D. G., Singularities and Groups in Bifurcation Theory.
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Marigo, J. J. and Pideri, C., The effective behavior of elastic bodies containing microcracks or microholes localized on a surface. DOI: 10.1177/1056789511406914
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Nguetseng, G. and Sanchez-Palencia, E., Stress concentration for defects distributed near a surface.
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Sanchez-Hubert, J. and Sanchez-Palencia, E., Vibration and Coupling of Continuous Systems: Asymptotic Methods.
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Sanchez-Palencia, E., Nonhomogeneous Media and Vibration Theory.
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David M., Marigo J.-J., Pideri C., Homogenized Interface Model Describing Inhomogeneities Located on a Surface, Journal of Elasticity, 109, 2, 2012. Crossref
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GEYMONAT GIUSEPPE, HENDILI SOFIANE, KRASUCKI FRANÇOISE, VIDRASCU MARINA, MATCHED ASYMPTOTIC EXPANSION METHOD FOR A HOMOGENIZED INTERFACE MODEL, Mathematical Models and Methods in Applied Sciences, 24, 03, 2014. Crossref
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Geymonat Giuseppe, Hendili Sofiane, Krasucki Françoise, Vidrascu Marina, Numerical validation of an homogenized interface model, Computer Methods in Applied Mechanics and Engineering, 269, 2014. Crossref
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Dang Thi Bach, Halpern Laurence, Marigo Jean-Jacques, Asymptotic analysis of small defects near a singular point in antiplane elasticity, with an application to the nucleation of a crack at a notch, Mathematics and Mechanics of Complex Systems, 2, 2, 2014. Crossref
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Baldelli Andrés León, Marigo Jean-Jacques, Pideri Catherine, Analysis of Boundary Layer Effects Due to Usual Boundary Conditions or Geometrical Defects in Elastic Plates Under Bending: An Improvement of the Love-Kirchhoff Model, Journal of Elasticity, 143, 1, 2021. Crossref
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Cruz-González Oscar Luis, Rodríguez-Ramos Reinaldo, Lebon Frederic, Sabina Federico J., Modeling of Imperfect Viscoelastic Interfaces in Composite Materials, Coatings, 12, 5, 2022. Crossref