Non linear constitutive models for lattice materials

We use a computational homogenisation approach to derive a non linear constitutive model for lattice materials. A representative volume element (RVE) of the lattice is modelled by means of discrete structural elements, and macroscopic stress–strain relationships are numerically evaluated after apply...

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Bibliographic Details
Published in:Journal of the mechanics and physics of solids 2014-03, Vol.64, p.44-60
Main Authors: Vigliotti, Andrea, Deshpande, Vikram S., Pasini, Damiano
Format: Article
Language:English
Subjects:
Constitutive relationships
Homogenizing
Lattice materials
Lattices
Mathematical models
Multiscale mechanics
Non linear mechanics
Periodic cellular materials
Strain
Stress-strain relationships
Structural members
Tensile stress
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Summary:We use a computational homogenisation approach to derive a non linear constitutive model for lattice materials. A representative volume element (RVE) of the lattice is modelled by means of discrete structural elements, and macroscopic stress–strain relationships are numerically evaluated after applying appropriate periodic boundary conditions to the RVE. The influence of the choice of the RVE on the predictions of the model is discussed. The model has been used for the analysis of the hexagonal and the triangulated lattices subjected to large strains. The fidelity of the model has been demonstrated by analysing a plate with a central hole under prescribed in plane compressive and tensile loads, and then comparing the results from the discrete and the homogenised models.
ISSN:0022-5096
DOI:10.1016/j.jmps.2013.10.015