Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the choice of homogenization method to achieve effective mechanical
  properties of composites reinforced by ellipsoidal and spherical particles   In this paper, several rigorous numerical simulations were conducted to
examine the relevance of mean-field micromechanical models compared to the Fast
Fourier Transform full-field computation by considering spherical or
ellipsoidal inclusions. To be more general, the numerical study was extended to
a mixture of different kind of microstructures consisting of spheroidal shapes
within the same RVE. Although the Fast Fourier Transform full field calculation
is sensitive to high contrasts, calculation time, for a combination of complex
microstructures, remains reasonable compared with those obtained with
mean-field micromechanical models. Moreover, for low volume fractions of
inclusions, the results of the mean-field approximations and those of the Fast
Fourier Transform-based (FFTb) full-field computation are very close, whatever
the inclusions morphology is. For RVEs consisting of ellipsoidal or a mixture
of ellipsoidal and spherical inclusions, when the inclusions volume fraction
becomes higher, one observes that Lielens' model and the FFTb full-field
computation give similar estimates. The accuracy of the computational methods
depends on the shape of the inclusions' and their volume fraction.

31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin