Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Homogenization of layered materials with rigid components in single-slip
  finite crystal plasticity   We determine the effective behavior of a class of composites in finite-strain
crystal plasticity, based on a variational model for materials made of fine
parallel layers of two types. While one component is completely rigid in the
sense that it admits only local rotations, the other one is softer featuring a
single active slip system with linear self-hardening. As a main result, we
obtain explicit homogenization formulas by means of {\Gamma}-convergence. Due
to the anisotropic nature of the problem, the findings depend critically on the
orientation of the slip direction relative to the layers, leading to three
qualitatively different regimes that involve macroscopic shearing and blocking
effects. The technical difficulties in the proofs are rooted in the intrinsic
rigidity of the model, which translates into a non-standard variational problem
constraint by non-convex partial differential inclusions. The proof of the
lower bound requires a careful analysis of the admissible microstructures and a
new asymptotic rigidity result, whereas the construction of recovery sequences
relies on nested laminates.

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The categories of this paper are: cond-mat
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The categories of this paper are: mtrl-th
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The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-fin
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The categories of this paper are: acc-phys
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The categories of this paper are: atom-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: adap-org
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The categories of this paper are: quant-ph
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The categories of this paper are: solv-int
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The categories of this paper are: dg-ga
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The categories of this paper are: nlin
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The categories of this paper are: hep-lat
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The categories of this paper are: bayes-an