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F. Lebon, "On Interface Modelling using Asymptotic Techniques", in B.H.V. Topping, J.M. Adam, F.J. Pallarés, R. Bru and M.L. Romero, (Editors), "Developments and Applications in Computational Structures Technology", Saxe-Coburg Publications, Stirlingshire, UK, Chapter 5, pp 113-143, 2010. doi:10.4203/csets.25.5

Keywords: thin layer, interface, asymptotic theory.

Summary

This chapter is a review of theoretical and numerical asymptotic studies on thin layers. A general method is presented for modelling bonding processes and interfaces. When the thickness and, eventually, the mechanical characteristics of the layer tend to zero, the asymptotic problem leads to a limit problem with a mechanical constraint on the surface, to which the layer shrinks. The formulation of the limit problem includes the mechanical and geometrical properties of the layer. Theoretical results are obtained using Gamma-convergence, variational analysis, asymptotic expansions and numerical studies. An example of a numerical algorithm and numerical examples are given.

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Computational Science, Engineering & Technology Series ISSN 1759-3158 CSETS: 25 DEVELOPMENTS AND APPLICATIONS IN COMPUTATIONAL STRUCTURES TECHNOLOGY Edited by: B.H.V. Topping, J.M. Adam, F.J. Pallarés, R. Bru and M.L. Romero Chapter 5 On Interface Modelling using Asymptotic Techniques F. Lebon LMA CNRS UPR 7051, University of Provence, Marseille, France doi:10.4203/csets.25.5 purchase the full-text of this chapter Full Bibliographic Reference for this chapter F. Lebon, "On Interface Modelling using Asymptotic Techniques", in B.H.V. Topping, J.M. Adam, F.J. Pallarés, R. Bru and M.L. Romero, (Editors), "Developments and Applications in Computational Structures Technology", Saxe-Coburg Publications, Stirlingshire, UK, Chapter 5, pp 113-143, 2010. doi:10.4203/csets.25.5 Keywords: thin layer, interface, asymptotic theory. Summary This chapter is a review of theoretical and numerical asymptotic studies on thin layers. A general method is presented for modelling bonding processes and interfaces. When the thickness and, eventually, the mechanical characteristics of the layer tend to zero, the asymptotic problem leads to a limit problem with a mechanical constraint on the surface, to which the layer shrinks. The formulation of the limit problem includes the mechanical and geometrical properties of the layer. Theoretical results are obtained using Gamma-convergence, variational analysis, asymptotic expansions and numerical studies. An example of a numerical algorithm and numerical examples are given. purchase the full-text of this chapter (price £20) go to the previous chapter go to the next chapter return to the table of contents return to the book description purchase this book (price £92 +P&P)
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