Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Modular-topology optimization of structures and mechanisms with free
  material design and clustering   Topology optimization of modular structures and mechanisms enables balancing
the performance of automatically-generated individualized designs, as required
by Industry 4.0, with enhanced sustainability by means of component reuse. For
optimal modular design, two key questions must be answered: (i) what should the
topology of individual modules be like and (ii) how should modules be arranged
at the product scale? We address these challenges by proposing a bi-level
sequential strategy that combines free material design, clustering techniques,
and topology optimization. First, using free material optimization enhanced
with post-processing for checkerboard suppression, we determine the
distribution of elasticity tensors at the product scale. To extract the
sought-after modular arrangement, we partition the obtained elasticity tensors
with a novel deterministic clustering algorithm and interpret its outputs
within Wang tiling formalism. Finally, we design interiors of individual
modules by solving a single-scale topology optimization problem with the design
space reduced by modular mapping, conveniently starting from an initial guess
provided by free material optimization. We illustrate these developments with
three benchmarks first, covering compliance minimization of modular structures,
and, for the first time, the design of non-periodic compliant modular
mechanisms. Furthermore, we design a set of modules reusable in an inverter and
in gripper mechanisms, which ultimately pave the way towards the rational
design of modular architectured (meta)materials.

29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th