Effective design and simulation of surface-based lattice structures featuring volume fraction and cell type grading

Ian Maskery, Adedeji Aremu, Luke Parry, Ricky Wildman, Chris Tuck, Ian Ashcroft

Research output: Contribution to journalArticlepeer-review

243 Citations (Scopus)
220 Downloads (Pure)


In this paper we present a numerical investigation into surface-based lattice structures with the aim off acilitating their design for additive manufacturing. We give the surface equations for these structures and show how they can be used to tailor their volume fractions. Finite element analysis is used to investigate the effect of cell type, orientation and volume fraction on the elastic moduli of the lattice structures, giving rise to a valuable set of numerical parameters which can be used to design a lattice to provide a specified stiffness. We find the I-WP lattice in the [001] orientation provides the highest stiffness along a single loading direction, but the diamond lattice may be more suitable for cases where lower mechanical anisotropy is important. Our stiffness models enable the construction of a powerful numerical tool for predicting the performance of graded structures. We highlight a particular problem which can arise when two lattice typesare hybridised; an aberration leading to structural weakening and high stress concentrations. We put for-ward a novel solution to this problem and demonstrate its usage. The methods and results detailed in this paper enable the efficient design of lattice structures functionally graded by volume fraction and cell type
Original languageEnglish
Pages (from-to)220-232
Number of pages13
JournalMaterials and Design
Early online date1 Jun 2018
Publication statusPublished - 5 Oct 2018
Externally publishedYes

Bibliographical note

© 2018 The Authors. Published by Elsevier Ltd. This is an open access article under the CC BY license


  • Additive manufacturing
  • Lattice structure
  • Homogenisation
  • Functional grading


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