Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An algorithm for stress and mixed control in Galerkin based FFT
  homogenization   A new algorithm is proposed to impose a macroscopic stress or mixed
stress/deformation gradient history in the context of non-linear Galerkin based
FFT homogenization. The method proposed is based in the definition of a
modified projection operator in which the null frequencies enforce the type of
control (stress or strain) for each component of either the macroscopic first
Piola stress or the deformation gradient. The resulting problem is solved
exactly as the original variational method and it does not require additional
iterations compared to the strain control version, neither in the linear
iterative solver, nor in the Newton scheme. The efficiency of the method
proposed is demonstrated with a series of numerical examples, including a
polycrystal and a particle reinforced hyperelastic material.

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The categories of this paper are: bayes-an
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int
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The categories of this paper are: adap-org
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The categories of this paper are: stat
0
The categories of this paper are: hep-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-th
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The categories of this paper are: math
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The categories of this paper are: alg-geom
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The categories of this paper are: patt-sol
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The categories of this paper are: chao-dyn
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The categories of this paper are: ao-sci
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The categories of this paper are: atom-ph
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The categories of this paper are: mtrl-th