Material selection shape factors for compliant arrays in bending

Similar to the general class of metamaterials, compliant arrays (CAs) are engineered from an array of subelements that combine to produce a response that is typically not available from a flat panel made of a single material. As such, analysis and design of CA systems requires the integration of bot...

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Bibliographic Details
Published in:Materials & design 2016-11, Vol.110, p.865-877
Main Authors: Nelson, Todd G., Bruton, Jared T., Rieske, Nathan E., Walton, M. Patrick, Fullwood, David T., Howell, Larry L.
Format: Article
Language:English
Subjects:
Arrays
Bending
Compliant
Design analysis
Design engineering
Flat panels
Material selection
Materials selection
Mathematical analysis
Metamaterials
Shape factor
Stiffness
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Summary:Similar to the general class of metamaterials, compliant arrays (CAs) are engineered from an array of subelements that combine to produce a response that is typically not available from a flat panel made of a single material. As such, analysis and design of CA systems requires the integration of both the material and geometrical properties of the array. This paper proposes a convenient and efficient method of combining these essential elements using analytically derived shape factors for bending modes. The approach is validated experimentally, and used to demonstrate large regions of previously inaccessible property combinations in material selection charts that become attainable using carefully design CAs. [Display omitted] •Theoretical models are defined and validated for plane geometry patterns which increase panel flexibility (compliant arrays).•Shape factors are developed to describe the interaction between geometry and material for compliant arrays.•Shape factors for compliant arrays are used to extend the feasible space on material selection charts (Ashby plots).•Shape factor ranges achievable for two specific compliant arrays are explored and reported.
ISSN:0264-1275
1873-4197
DOI:10.1016/j.matdes.2016.08.056