Shape factor, Bending, Material selection, Compliant, Stiffness, Metamaterials


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 at 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.

Original Publication Citation

Todd G Nelson, Jared T Bruton, Nathan Rieske, Patrick Walton, David T Fullwood, Larry L Howell, Material Selection Shape Factors for Compliant Arrays in Bending, Journal of Materials and Design, 110 (2016), 865-877, DOI: 10.1016/j.matdes.2016.08.056, 2016

Document Type

Peer-Reviewed Article

Publication Date


Permanent URL


Journal of Materials and Design




Ira A. Fulton College of Engineering and Technology


Mechanical Engineering

University Standing at Time of Publication

Full Professor

Available for download on Thursday, November 15, 2018