Optimal form and size characterization of planar isotropic petal-shaped auxetics with tunable effective properties using IGA

Focusing on planar isotropic petal-shaped auxetics, an isogeometric design framework is presented to achieve tunable effective properties. Specifically, the design framework includes (i) a NURBS-based parametric modelling scheme that characterizes petal-shaped auxetics with a small number of design...

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Bibliographic Details
Published in:Composite structures 2018-10, Vol.201, p.486-502
Main Authors: Wang, Zhen-Pei, Poh, Leong Hien
Format: Article
Language:English
Subjects:
Computational homogenization
Isogeometric analysis
Negative Poisson ratio
Petal-shaped auxetics
Structural optimization
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Summary:Focusing on planar isotropic petal-shaped auxetics, an isogeometric design framework is presented to achieve tunable effective properties. Specifically, the design framework includes (i) a NURBS-based parametric modelling scheme that characterizes petal-shaped auxetics with a small number of design variables; (ii) a systematic consideration of petal form, component widths and base material properties; (iii) a semi-analytical sensitivity analysis method based on material derivatives; and (iv) constraints for effective stiffness and target Poisson ratio. Three cases are considered: Case A with the same component width, Case B with different component widths, and Case C for composite designs with multiple base materials. For each case, a design limit curve is obtained for the effective Poisson ratio over a range of effective stiffness constraints, to give a quick overview on the properties attainable for each design setting. The optimization framework is next demonstrated for designing composite petal-shaped auxetics with target effective properties.
ISSN:0263-8223
1879-1085
DOI:10.1016/j.compstruct.2018.06.042