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CivilComp Proceedings
ISSN 17593433 CCP: 42
ADVANCES IN COMPUTATIONAL METHODS FOR SIMULATION Edited by: B.H.V. Topping
Paper III.1
An IntersectionParametrization Technique to Analyse 2D Structures with Interfaces Governed by Complete Nonmonotone Laws C.D. Bisbos and C.C. Baniotopoulos
Institute of Steel Structures, Aristotle University, Thessaloniki, Greece C.D. Bisbos, C.C. Baniotopoulos, "An IntersectionParametrization Technique to Analyse 2D Structures with Interfaces Governed by Complete Nonmonotone Laws", in B.H.V. Topping, (Editor), "Advances in Computational Methods for Simulation", CivilComp Press, Edinburgh, UK, pp 125131, 1996. doi:10.4203/ccp.42.3.1
Abstract
The present paper aims to contribute to the research
that concerns the analysis of twodimensional structures
containing interfaces whose structural behaviour is governed
by complete nonmonotone boundary laws. Typical
examples of the latter laws are the interfacial laws described
by onedimensional serrated stressstrain or loaddisplacement
diagrams along the whole length of the horizontal
axis exhibiting a macroscopically nonmonotone,
softeningrehardening (sawtooth) behaviour.
The effort to incorporate in an alternative new way the
previously mentioned interface action into an effective
analysis model is herein presented. In particular, by
considering the interfacial forces temporarily as external
loads, the corresponding interfacial gaps are related to
them by means of a linear function which is similar to
the compatibility equation of the classical force method
of Structural Mechanics; from a mathematical point of
view, the latter describes a linear manifold, whereas from
a mechanical point of view, it is the constraint implied
by the rest of the structure upon the interface. Since the
solution of the problem at hand has to obey the material
law of the interface, the solution set is the set of all the intersection
points between the aforementioned linear manifold
and the softeningrehardening interfacial behaviour
curve.
To this end, a numerical technique which combines the previous relations to obtain the complete set of solutions of the problem is herein presented. In addition, in the last part of the paper various computational aspects and a normalization technique are proposed and discussed. purchase the fulltext of this paper (price £20)
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