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从非晶态介质的脱钉转变到塑性屈服:软模视角

From depinning transition to plastic yielding of amorphous media: A soft-modes perspective.

作者信息

Tyukodi Botond, Patinet Sylvain, Roux Stéphane, Vandembroucq Damien

机构信息

PMMH, ESPCI/CNRS-UMR 7636/Université Paris 6 UPMC/Université Paris 7 Diderot, 10 rue Vauquelin, 75231 Paris Cedex 05, France.

Physics Department, University Babeş-Bolyai, Cluj, Romania.

出版信息

Phys Rev E. 2016 Jun;93(6):063005. doi: 10.1103/PhysRevE.93.063005. Epub 2016 Jun 28.

DOI:10.1103/PhysRevE.93.063005
PMID:27415352
Abstract

A mesoscopic model of amorphous plasticity is discussed in the context of depinning models. After embedding in a d+1-dimensional space, where the accumulated plastic strain lives along the additional dimension, the gradual plastic deformation of amorphous media can be regarded as the motion of an elastic manifold in a disordered landscape. While the associated depinning transition leads to scaling properties, the quadrupolar Eshelby interactions at play in amorphous plasticity induce specific additional features like shear-banding and weak ergodicity breakdown. The latters are shown to be controlled by the existence of soft modes of the elastic interaction, the consequence of which is discussed in the context of depinning.

摘要

在脱钉模型的背景下讨论了非晶态塑性的介观模型。在嵌入到d + 1维空间后,累积塑性应变沿附加维度存在,非晶态介质的逐渐塑性变形可被视为弹性流形在无序景观中的运动。虽然相关的脱钉转变导致标度性质,但非晶态塑性中起作用的四极埃舍尔比相互作用会引发诸如剪切带和弱遍历性破坏等特定的附加特征。结果表明,后者受弹性相互作用软模的存在控制,并在脱钉的背景下讨论了其后果。

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