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Cantilevered beams are of immense importance as structural and sensorialmembers for a number of applications. Endowing tailorable elasticity can havewide ranging engineering ramification. Such tailorability could be possibleusing some type of spatial gradation in the beam's material or cross section.However, these often require extensive additive and subtractive materialprocessing or specialized casts. In this letter, we demonstrate an alternativebio inspired mechanical pathway, which is based on exploiting the nonlinearitythat would arise from a functionally graded distribution of biomimetic scaleson the surface using an analytical approach. This functional gradation isgeometrically sourced and could arise from either spatial or angular gradationof scales. We analyze such a functionally graded cantilever beam under uniformloading. In comparison with uniformly distributed scales, we find significantdifferences in bending stiffness for both spatial and angular gradations.Spatial and angular functional gradation share some universality but also sharpcontrasts in their effect on the underlying beam. A combination of both typesof gradation in the structure can be used to alternatively increase or decreasestiffness and therefore a pathway to tailor the elasticity of a cantilever beamrelatively easily. These results give rise to an architected framework fordesigning and optimizing the topography of leveraged solids.

Tailorable Elasticity of Cantilever Using Spatio-Angular Functionally Graded Biomimetic Scales