Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Three-Dimensional Yielding in Anisotropic Materials: Validation of Hill
  Criterion   Yielding transition in isotropic soft materials under superposition of
orthogonal deformation fields is known to follow von Mises criterion. However,
in anisotropic soft materials von Mises criterion fails owing to preferred
directions associated with the system. In this work we study a model
anisotropic yield stress system: electrorheological (ER) fluids that show
structure formation in the direction of electric field. We subject the ER
fluids to superposition of orthogonal stress fields that leads to different
yield stress values. We obtain a yielding state diagram by plotting normalized
rotational shear stress against normalized radial shear stress corresponding to
yield point for a given electric field. Remarkably, the state diagram validates
the Hill yielding criterion, which is a general yielding criterion for
materials having anisotropy along three orthogonal directions, originally
developed for metallic systems. Validation of Hill criterion suggests the
universality of its application to anisotropic systems including conventional
anisotropic soft materials having yield stress.

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The categories of this paper are: gr-qc
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
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The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-th
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: adap-org
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The categories of this paper are: econ
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The categories of this paper are: comp-gas
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The categories of this paper are: solv-int
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The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga