Explicit parametric solutions of lattice structures with proper generalized decomposition (PGD): applications to the design of 3D-printed architectured materials
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hdl:2117/117361
Tipus de documentArticle
Data publicació2018-01-10
Condicions d'accésAccés obert
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Abstract
Architectured materials (or metamaterials) are constituted by a unit-cell with a complex structural design repeated periodically forming a bulk material with emergent mechanical properties. One may obtain specific macro-scale (or bulk) properties in the resulting architectured material by properly designing the unit-cell. Typically, this is stated as an optimal design problem in which the parameters describing the shape and mechanical properties of the unit-cell are selected in order to produce the desired bulk characteristics. This is especially pertinent due to the ease manufacturing of these complex structures with 3D printers. The proper generalized decomposition provides explicit parametic solutions of parametric PDEs. Here, the same ideas are used to obtain parametric solutions of the algebraic equations arising from lattice structural models. Once the explicit parametric solution is available, the optimal design problem is a simple post-process. The same strategy is applied in the numerical illustrations, first to a unit-cell (and then homogenized with periodicity conditions), and in a second phase to the complete structure of a lattice material specimen.
Descripció
The final publication is available at Springer via http://dx.doi.org/10.1007/s00466-017-1534-9
CitacióSibileau, A., Garcia, A., Auricchio, F., Morganti, S., Diez, P. Explicit parametric solutions of lattice structures with proper generalized decomposition (PGD): applications to the design of 3D-printed architectured materials. "Computational mechanics", October 2018, vol. 62, núm. 4, p. 871-891.
ISSN0178-7675
Versió de l'editorhttps://link.springer.com/article/10.1007%2Fs00466-017-1534-9
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