On the post-buckling of distributed microstructured system: The finite element elastica
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Tartalom: http://real.mtak.hu/39959/
Archívum: MTA Könyvtár
Gyűjtemény: Status = Published


Type = Article
Cím:
On the post-buckling of distributed microstructured system: The finite element elastica
Létrehozó:
Kocsis, Attila
Challamel, Noël
Kiadó:
Elsevier
Dátum:
2016
Téma:
QC01 Mechanics / mechanika
TA Engineering (General). Civil engineering (General) / általános mérnöki tudományok
Tartalmi leírás:
The buckling and post-buckling behavior of a simply supported lattice column with distributed micro-
structure is theoretically and numerically investigated. This problem differs from the nonlinear behavior
of a lattice column composed of concentrated microstructure, as illustrated by the Hencky-bar chain
system. It is shown that the problem based on a distributed microstructure is mathematically equivalent
to the Finite Element formulation of the continuous
elastica
with linear rotation interpolation functions.
The buckling load of this lattice column with distributed microstructure is analytically obtained by
solving a linear difference boundary value problem. This linearized difference boundary value problem is
asymptotically approximated by a continuum gradient elasticity boundary value problem with de
fi
nite
positive equivalent energy functional. The geometrically exact nonlinear behavior of this microstructured
column with distributed microstructure is governed by a strongly nonlinear difference equation, which
has not been reported in the literature to the authors
’
knowledge. Bifurcation diagrams of the micro-
structured column composed of few cells are numerically obtained with the simplex algorithm. It is
shown that the post-buckling of the lattice column with distributed microstructure reveals complex
behavior similarly to the post-buckling of a lattice column with concentrated microstructure. The
fi
rst
post-buckling branch of the lattice system is compared to that of the gradient
elastica
problem and good
correlations are found. The paper is concluded by a general analysis on the effect of concentrated and
distributed microstructures at the macroscopic structural scale: Hencky-bar chain system composed of
concentrated microstructure asymptotically behaves as a nonlocal (stress gradient) elastic column,
whereas the lattice column composed of distributed microstructure asymptotically behaves as a gradient
elasticity (strain gradient) elastic column.
Nyelv:
angol
Típus:
Article
PeerReviewed
info:eu-repo/semantics/article
Formátum:
text
Azonosító:
Kocsis, Attila and Challamel, Noël (2016) On the post-buckling of distributed microstructured system: The finite element elastica. International Journal of Mechanical Sciences, 114. pp. 12-20. ISSN 0020-7403
Kapcsolat:
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