Fatigue and Collapse of Cyclically Bent Strip of Amorphous Solid

Bhanu Prasad Bhowmik; H. G. E. Hentschel; Itamar Procaccia

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arXiv · 2103.03040

Fatigue and Collapse of Cyclically Bent Strip of Amorphous Solid

Bhanu Prasad Bhowmik·H. G. E. Hentschel·Itamar Procaccia

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Abstract

Fatigue caused by cyclic bending of a piece of material, resulting in its mechanical failure, is a phenomenon that had been studied for ages by engineers and physicists alike. In this Letter we study such fatigue in a strip of athermal amorphous solid. On the basis of atomistic simulations we conclude that the crucial quantity to focus on is the {\em accumulated damage}. Although this quantity exhibits large sample-to-sample fluctuations, its dependence on the loading determines the statistics of the number of cycles to failure. Thus we can provide a scaling theory for the W\"ohler plots of mean number of cycles for failure as a function of the loading amplitude.

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Bhanu Prasad Bhowmik, H. G. E. Hentschel, Itamar Procaccia. 2021-03-04. Fatigue and Collapse of Cyclically Bent Strip of Amorphous Solid. https://arxiv.org/abs/2103.03040

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