Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Initiation of Shear Band Formation in Deformed Metallic Glasses from
  Soft Localized Domains   It has long been thought that shear band (SB) formation in amorphous solids
initiates from relatively 'soft' regions in the material in which large-scale
non-affine deformations become localized. The test of this hypothesis requires
an effective means of identifying 'soft' regions and their evolution as the
material is deformed to varying degrees, where the metric of 'softness' must
also account for the effect of temperature on local material stiffness. We show
that the mean square atomic displacement on a caging timescale <u2>, the
'Debye-Waller factor', provides a useful method for estimating the shear
modulus of the entire material and, by extension, the material stiffness at an
atomic scale. Based on this 'softness' metrology, we observe that SB formation
indeed occurs through the strain-induced formation of localized soft regions in
our deformed metallic glass free-standing films. Unexpectedly, the critical
strain condition of SB formation occurs when the softness (<u2>) distribution
within the emerging soft regions approaches that of the interfacial region in
its undeformed state, initiating an instability with similarities to the
transition to turbulence. Correspondingly, no SBs arise when the material is so
thin that the entire material can be approximately described as being
'interfacial' in nature. We also quantify relaxation in the glass and the
nature and origin of highly non-Gaussian particle displacements in the
dynamically heterogeneous SB regions at times longer than the caging time.

12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph