Systematic design of tetra-petals auxetic structures with stiffness constraint

This paper focuses on a systematic isogeometric design approach for the optimal petal form and size characterization of tetra-petals auxetics, considering both plane stress and plane strain conditions. The underlying deformation mechanism of a tetra-petals auxetic is analyzed numerically with respec...

Full description

Saved in:
Bibliographic Details
Published inMaterials & Design Vol. 170; p. 107669
Main Authors Wang, Zhen-Pei, Poh, Leong Hien, Zhu, Yilin, Dirrenberger, Justin, Forest, Samuel
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 15.05.2019
Elsevier
Subjects
Computational homogenization
Engineering Sciences
Isogeometric analysis
Negative Poisson's ratio
Petal auxetic
Shape form optimization
Isogeometric analysis
Petal auxetic
Computational homogenization
Shape form optimization
Negative Poisson's ratio
Negative Poisson’s ratio
Shape form optimizatio
Online AccessGet full text

Cover

More Information
Summary:This paper focuses on a systematic isogeometric design approach for the optimal petal form and size characterization of tetra-petals auxetics, considering both plane stress and plane strain conditions. The underlying deformation mechanism of a tetra-petals auxetic is analyzed numerically with respect to several key parameters. Design optimizations are performed systematically to give bounding graphs for the minimum Poisson's ratio achievable with different stiffness constraints. Tunable design studies with targeted effective Poisson's ratio, shear modulus and stiffness are demonstrated. Potential application for functionally graded lattice structures is presented. Numerical and experimental verifications are provided to verify the designs. The out-of-plane buckling phenomenon in tension for thin auxetics with re-entrant features is illustrated experimentally to draw caution to results obtained using plane stress formulations for designing such structures. [Display omitted] •NURBS parameterization of novel curved tetra-petals auxetics•Isogeometric analysis enhanced numerical homogenization framework.•A systematical study of designing tetra-petals auxetics with tunable properties•Bounding graph of achievable effective Poisson's ratio under different stiffness constraints•Experimental verifications for tunable design studies
ISSN:0264-1275
0261-3069
1873-4197
0264-1275
DOI:10.1016/j.matdes.2019.107669