Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimal design of auxetic, additively manufactured, polymeric structures   This work is concerned with the optimal design, additive manufacturing, and
testing of microarchitectured polymer materials with desired macroscopic
mechanichal properties. More precise, we are interested in designing and
fabricating a materials microstrure in terms of the topology as well as
material distribution of the individual phases within a periodic unit cell. In
the design process we use the level set method to identify material regions and
track boundary changes within the context of the smoothed interface. The
combination of the level set method and the shape derivative obtained in the
smoothed interface context allows us to capture, within the unit cell, the
topological changes that take place. The obtained unit cells are smoothed and
enhanced using standard image processing techniques and have periodically been
multiplied into rectangular specimens. The specimens are manufactured using a
commercial steoreolithography Ember printer and mechanically tested. The
results show that the printed samples are close to the optimized shape of the
geometry. Moreover, the observed displacement and strain fields during tensile
testing obtained by digital image correlation match the predictions from the
FEM simulation. These results demonstrate that the method can be extended over
different scales, creating materials with hierachically architected
microstructures.

23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph