Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Efficient equilibrium-based stress recovery for isogeometric laminated
  curved structures   This work focuses on an efficient stress recovery procedure for laminated
composite curved structures, which relies on Isogeometric Analysis (IGA) and
equilibrium. Using a single element through the thickness in combination with a
calibrated layerwise integration rule or a homogenized approach, the 3D solid
isogeometric modeling grants an inexpensive and accurate approximation in terms
of displacements (and their derivatives) and in-plane stresses, while
through-the-thickness stress components are poorly approximated. Applying a
further post-processing step, an accurate out-of-plane stress state is also
recovered, even from a coarse displacement solution. This is based on a direct
integration of the equilibrium equations in strong form, involving high order
derivatives of the displacement field. Such a continuity requirement is fully
granted by IGA shape function properties. The post-processing step is locally
applied, which grants that no additional coupled terms appear in the
equilibrium, allowing for a direct reconstruction without the need to further
iterate to resolve the out-of-balance momentum equation. Several numerical
results show the good performance of this approach particularly for composite
stacks with significant radius-to-thickness ratio and number of plies. In
particular, in the latter case, where a layerwise technique employing a number
of degrees of freedom directly proportional to the number of plies would be
much more computationally demanding, the proposed method can be regarded as a
very appealing alternative choice.

25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn