Size effect anomalies in the behaviour of loaded 3D mechanical metamaterials
Dunn, Martin and Wheel, Marcus (2020) Size effect anomalies in the behaviour of loaded 3D mechanical metamaterials. Philosophical Magazine, 100 (2). pp. 139-156. ISSN 1478-6435 (https://doi.org/10.1080/14786435.2019.1671996)
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Abstract
Size effects exhibited by mechanical metamaterials when loaded may be positive such that reducing overall size towards that of the length scale of the underlying structure intrinsic to the material is accompanied by increasing stiffness or rigidity, a phenomenon that has been repeatedly observed and is also forecast by various more generalised continuum theories of deformation in loaded heterogeneous continua. However, such effects may in certain circumstances be contradictory in that decreasing size is accompanied by increasing compliance, the transition from the conventional, positive to this theoretically unanticipated negative behaviour having been explained recently in terms of the distribution of material within 2D continua subject to bending. Here we report on a novel phenomenon newly observed in periodic 3D lattice materials comprised of repeated cubic unit cells formed of exterior edge and interior diagonal connectors. Subtle redistribution of matrix material from edges to diagonals causes the size effect to change dramatically, inverting from positive to negative when loaded in the torsional mode while the corresponding effect for the flexural mode remains entirely positive under the same circumstances. This observation may lead to the prospect of optimising the design of 3D periodic metamaterials to provide a stiffer response in one loading mode and a more compliant response in another, a feature that could potentially be exploited in various innovative applications.
ORCID iDs
Dunn, Martin and Wheel, Marcus ORCID: https://orcid.org/0000-0002-1372-6324;-
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Item type: Article ID code: 71738 Dates: DateEvent17 January 2020Published28 September 2019Published Online18 September 2019AcceptedSubjects: Technology > Manufactures
Technology > Mechanical engineering and machineryDepartment: Faculty of Engineering > Mechanical and Aerospace Engineering Depositing user: Pure Administrator Date deposited: 11 Mar 2020 09:30 Last modified: 05 Dec 2024 01:17 URI: https://strathprints.strath.ac.uk/id/eprint/71738