Elastic properties of inverted frustums Available to Purchase

Elastic energies of nanostructures are important. The nanostructures are often sufficiently large that Euler-Bernoulli theory (EBT) is adequate. Motivated by recent applications, we use EBT to calculate the bending profile and the scaling of the spring constant of inverted frustums with length $(h)$ and cross sections $[b(h)∼h0.3]$⁠. We find $keff∼h−1.8$ which differs significantly from that of a straight rod $keff∼h−3$ and demonstrates that the shape of the nanorods provides a mean to vary the scaling of the elastic properties.