Size scaling of failure strength at high disorder

We investigate how the macroscopic response and size scaling of ultimate strength materials change when their local is sampled from a fat-tailed distribution degree disorder varied in broad range. Using equal localized load sharing fiber bundle model, we demonstrate that transition occurs perfectly brittle to quasi-brittle behaviour as amount gradually increased. When high concentration around failed regions make system more prone failure so higher required for stabilization. Increasing at fixed an astonishing effect obtained: small sizes increases with its size, usual decreasing sets on only beyond characteristic size. The increasing regime prevails even sharing, however, above results substantial reduction compared sharing. show adequate explanation can be obtained based extreme order statistics fibers' strength.