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Archive of Applied Mechanics
Erschienen in: Archive of Applied Mechanics 7/2019

03.01.2019 | Original

Numerical identification of constitutive parameters in reduced-order bi-dimensional models for pantographic structures: application to out-of-plane buckling

verfasst von: Michele De Angelo, Emilio Barchiesi, Ivan Giorgio, B. Emek Abali

Erschienen in: Archive of Applied Mechanics | Ausgabe 7/2019

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Abstract

Mechanical properties are investigated for a class of microstructured materials with promising applications. Specifically, we consider a composite material with orthogonal, mutually interconnected fibers building a pantographic substructure. In order to predict the behavior of such a system in three-dimensional continuum, a reduced-order model is introduced by means of a bi-dimensional elastic surface accurately describing large deformations. The properties of this reduced-order model are characterized by an elastic energy density that involves second space derivatives of the displacement for capturing the resistance of twisted and bent fibers in plane as well as out of plane. For determining the coefficients in the elastic energy of the reduced-order model, we utilize a numerical inverse analysis and make use of ad hoc computational experiments performed by a direct numerical simulation on the microscale with detailed modeling of the pantographic substructure. This reduced-order model represents a homogenized material on macro-scale with its substructure on microscale. The homogenized model is capable of describing materials response at a significantly less computational cost than the direct numerical simulations.
Vorheriger Artikel Dynamic fracture of a nano-cracked finite exponentially inhomogeneous piezoelectric solid
Nächster Artikel Control of the transport direction and velocity of the two-way reversible vibratory conveyor

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Fußnoten
1
We use the wedge product, \(\wedge \), defined as, \(({\varvec{u}}\wedge {\varvec{v}})_{ij} = u_i v_j - v_i u_j\). Therefore, we have \({\mathbf {D}}_i\wedge {\mathbf {D}}_j = {\mathbf {D}}_i\otimes {\mathbf {D}}_j - {\mathbf {D}}_j\otimes {\mathbf {D}}_i\), where \(\otimes \) is the usual tensor (dyadic) product.
 
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Metadaten
Titel
Numerical identification of constitutive parameters in reduced-order bi-dimensional models for pantographic structures: application to out-of-plane buckling
verfasst von
Michele De Angelo
Emilio Barchiesi
Ivan Giorgio
B. Emek Abali
Publikationsdatum
03.01.2019
Verlag
Springer Berlin Heidelberg
Erschienen in
Archive of Applied Mechanics / Ausgabe 7/2019
Print ISSN: 0939-1533
Elektronische ISSN: 1432-0681
DOI
https://doi.org/10.1007/s00419-018-01506-9

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