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Civil-Comp Proceedings
ISSN 1759-3433 CCP: 75
PROCEEDINGS OF THE SIXTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL STRUCTURES TECHNOLOGY Edited by: B.H.V. Topping and Z. Bittnar
Paper 65
Analysis of Non-Linear Soft Thin Interfaces F. Lebon+, R. Rizzoni*, S. Ronel-Idrissi+ and C. Licht$
+Laboratoire Mécanique Matériaux Structures, Université Claude Bernard Lyon 1, Villeurbanne, France
F. Lebon, R. Rizzoni, S. Ronel-Idrissi, C. Licht, "Analysis of Non-Linear Soft Thin Interfaces", in B.H.V. Topping, Z. Bittnar, (Editors), "Proceedings of the Sixth International Conference on Computational Structures Technology", Civil-Comp Press, Stirlingshire, UK, Paper 65, 2002. doi:10.4203/ccp.75.65
Keywords: interface laws, asymptotic study, elasto-plasticity, non-monotone behavior, finite elements.
Summary
Contact and interface mechanics intervenes more and more often in
computational structures. To have reliable tools to size more and more
complex systems, it is indispensable to take into account in a precise
way the connections between the various solids of the structure. This
consideration can be very complex because of the strongly non-linear
character and possibly imperfect and very localized of these connections.
For examples, in the modelling of the processes of metal forming,
consideration of the friction is necessary because it pilots the whole
process; the modelling of the glue in the case of masonry structures is
necessary to estimate in a precise way the mechanical characteristics of
the structures, their risks of collapse, …
The purpose of this lecture is to show how it is possible to obtain
families of interface laws from the mechanical behaviour of thin layers.
The consideration of bonded joints in real structures can lead from a
numerical point of view to problems of too large sizes, especially if
these joints have a non-linear behaviour [1,2,3,4,5].
From a general way, one
is going to consider joints of weak thickness and weak rigidity with
regard to those of the substrata. One has then to deal with problems
taking into account at least two small parameters (the thickness, the
rigidity). An asymptotic study (a micro-macro passage), completed by
numerical calculations, leads to so-called "asymptotic contact laws"
who allow describing the (macroscopic) mechanical behaviour of the
interfaces (see references in [1]).
We consider in this lecture various kinds of non-linear behaviour for the
thin layers:
One can show in the two first cases, that the interface laws obtained are
of Tresca or Coulomb kind. The third case can model instabilities on the
contact boundary. The last case permits to show how it is possible to
add various behaviour laws.
References
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