图书馆订阅: Guest
Begell Digital Portal Begell 数字图书馆 电子图书 期刊 参考文献及会议录 研究收集
国际多尺度计算工程期刊
影响因子: 1.016 5年影响因子: 1.194 SJR: 0.554 SNIP: 0.82 CiteScore™: 2

ISSN 打印: 1543-1649
ISSN 在线: 1940-4352

国际多尺度计算工程期刊

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

ABSTRACT

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.

REFERENCES

  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.


Articles with similar content:

Application of the Singular Integral Transform Method to the Solution of theTwo-Dimensional Problem of Diffraction of Electromagnetic Waves from a Superconducting Layer with Rectangular Waveguide Channels
Telecommunications and Radio Engineering, Vol.56, 2001, issue 2
Vladimir Davidovich Dushkin
Progressive Interface Failure under Shear Stresses Based on a Two-Dimensional Model of Decohesion
International Journal for Multiscale Computational Engineering, Vol.5, 2007, issue 2
Francesca Campi, Ilaria Monetto
Features of Wave-Packet Propagation in Two-Layer Fluid of Finite Depth
International Journal of Fluid Mechanics Research, Vol.34, 2007, issue 5
Olga V. Avramenko, Igor T. Selezov, Yu. V. Gurtovy
Displacements of the Elastic Half-Space Surface Caused by Instantaneous Axisymmetric Loading
International Journal of Fluid Mechanics Research, Vol.28, 2001, issue 1&2
A. G. Kutzenko, A. F. Ulitko, Valery Oliynik
TRANSITION OF WAVE PACKETS ORIGINATING FROM LOCALIZED STRONG DISTURBANCES IN LAMINAR BOUNDARY-LAYER OF ROTATING-DISK FLOW
TSFP DIGITAL LIBRARY ONLINE, Vol.2, 2001, issue
Shohei Takagi, Naoko Tokugawa, Akira Nishizawa