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Considering a recently proposed model for the yielding of amorphous solids under cyclic shear deformation, we show that it can be analyzed by mapping it, in the simplest case, to a random walk in a confining potential with an absorbing boundary. The dynamics is governed by the first passage time into the absorbing state, which captures the essential features of the original model, thereby providing insight into the observed robustness of earlier results. Including the possibility of activated escape from absorbing states leads to a unique determination of a threshold energy and yield strain, and further, suggests an appealing approach to understanding fatigue failure.
Amorphous solids increase their stress as a function of an applied strain until a mechanical yield point whereupon the stress cannot increase anymore, afterwards exhibiting a steady state with a constant mean stress. In stress controlled experiments
Amorphous solids display a ductile to brittle transition as the kinetic stability of the quiescent glass is increased, which leads to a material failure controlled by the sudden emergence of a macroscopic shear band in quasi-static protocols. We nume
We report on experiments that probe the stability of a two-dimensional jammed granular system formed by imposing a quasistatic simple shear strain $gamma_{rm I}$ on an initially stress free packing. We subject the shear jammed system to quasistatic c
Understanding the mechanical response and failure of solids is of obvious importance in their use as structural materials. The nature of plastic deformation leading to yielding of amorphous solids has been vigorously pursued in recent years. Investig
The holographic principle has proven successful in linking seemingly unrelated problems in physics; a famous example is the gauge-gravity duality. Recently, intriguing correspondences between the physics of soft matter and gravity are emerging, inclu