CUED Publications database

Non linear constitutive models for lattice materials

Vigliotti, A and Deshpande, VS and Pasini, D (2014) Non linear constitutive models for lattice materials. Journal of the Mechanics and Physics of Solids, 64. pp. 44-60. ISSN 0022-5096

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Abstract

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. © 2013 Elsevier Ltd.

Item Type: Article
Subjects: UNSPECIFIED
Divisions: Div C > Materials Engineering
Div C > Applied Mechanics
Depositing User: Cron Job
Date Deposited: 17 Jul 2017 19:17
Last Modified: 16 Nov 2017 02:23
DOI: