Author:
Parisi Giorgio,Procaccia Itamar,Rainone Corrado,Singh Murari
Abstract
Amorphous solids increase their stress as a function of an applied strain until a mechanical yield point whereupon the stress cannot increase anymore, afterward exhibiting a steady state with a constant mean stress. In stress-controlled experiments, the system simply breaks when pushed beyond this mean stress. The ubiquity of this phenomenon over a huge variety of amorphous solids calls for a generic theory that is free of microscopic details. Here, we offer such a theory: The mechanical yield is a thermodynamic phase transition, where yield occurs as a spinodal phenomenon. At the spinodal point, there exists a divergent correlation length that is associated with the system-spanning instabilities (also known as shear bands), which are typical to the mechanical yield. The theory, the order parameter used, and the correlation functions that exhibit the divergent correlation length are universal in nature and can be applied to any amorphous solids that undergo mechanical yield.
Funder
EC | European Research Council
Ministry of Education, Research and Universities | Istituto Nazionale di Fisica Nucleare
Minerva Foundation
Israel Science Foundation
Publisher
Proceedings of the National Academy of Sciences
Cited by
80 articles.
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