Finite-Disorder Critical Point in the Yielding Transition of Elastoplastic Models,Physical Review Letters

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Finite-Disorder Critical Point in the Yielding Transition of Elastoplastic Models
Physical Review Letters ( IF 8.1 ) Pub Date : 2022-11-23 , DOI: 10.1103/physrevlett.129.228002
Saverio Rossi ₁ , Giulio Biroli ₂ , Misaki Ozawa ₂ , Gilles Tarjus ₁ , Francesco Zamponi ₂

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Upon loading, amorphous solids can exhibit brittle yielding, with the abrupt formation of macroscopic shear bands leading to fracture, or ductile yielding, with a multitude of plastic events leading to homogeneous flow. It has been recently proposed, and subsequently questioned, that the two regimes are separated by a sharp critical point, as a function of some control parameter characterizing the intrinsic disorder strength and the degree of stability of the solid. In order to resolve this issue, we have performed extensive numerical simulations of athermally driven elastoplastic models with long-range and anisotropic realistic interaction kernels in two and three dimensions. Our results provide clear evidence for a finite-disorder critical point separating brittle and ductile yielding, and we provide an estimate of the critical exponents in 2D and 3D.

中文翻译：

弹塑性模型屈服转变中的有限无序临界点

加载时，无定形固体会表现出脆性屈服，宏观剪切带的突然形成导致断裂，或延性屈服，大量塑性事件导致均匀流动。最近有人提出，并随后提出质疑，这两种制度是由一个尖锐的临界点分开的，作为一些表征固有无序强度和固体稳定性程度的控制参数的函数。为了解决这个问题，我们对非热驱动弹塑性模型进行了广泛的数值模拟，该模型具有二维和三维的远程和各向异性现实相互作用核。我们的结果为分离脆性和延性屈服的有限无序临界点提供了明确的证据，

更新日期：2022-11-23

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