Multi-scale computational homogenisation to predict the long-term durability of composite structures

Z. Ullah, L. Kaczmarczyk, S. A. Grammatikos, M. C. Evernden, C. J. Pearce

Research output: Contribution to journalArticlepeer-review

26 Citations (SciVal)


A coupled hygro-thermo-mechanical computational model is proposed for fibre
reinforced polymers, formulated within the framework of Computational
Homogenisation (CH). At each macrostructure Gauss point, constitutive matrices
for thermal, moisture transport and mechanical responses are calculated
from CH of the underlying representative volume element (RVE). A
degradation model, developed from experimental data relating evolution of
mechanical properties over time for a given exposure temperature and moisture
concentration is also developed and incorporated in the proposed computational
model. A unified approach is used to impose the RVE boundary
conditions, which allows convenient switching between linear Dirichlet,
uniform Neumann and periodic boundary conditions. A plain weave textile
composite RVE consisting of yarns embedded in a matrix is considered in this
case. Matrix and yarns are considered as isotropic and transversely isotropic
materials respectively. The required principal directions of the yarns for the
transversely isotropic material model are calculated from potential flow analysis along these yarns. Furthermore, the computational framework utilises
hierarchic basis functions and designed to take advantage of distributed memory high performance computing
Original languageEnglish
Pages (from-to)21-31
JournalComputers and Structures
Early online date14 Nov 2016
Publication statusPublished - Mar 2017


  • Multi-scale computational homogenisation, Hygro-thermo-mechanical analysis, Fibre reinforced polymer, Textile composites, degradation model, hierarchic basis functions


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