Incoprea Theory
Vol. XXII · 99

Theory 14/Nanoscale/Nanocomposites

Reinforcement Needs Transfer Length

The claim

The reinforcement from nanotubes is set by the ratio of tube length to the critical transfer length, so short tubes add stiffness without strength.

01Mechanism

Load must transfer from matrix to tube along its length; below the critical length the tube slips before carrying its capacity.

02Prediction

Strength should rise sharply above the ratio.

03Refutation

Strength tracking tube volume fraction would remove the length term.