Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Influence of Initial Residual Stress on Growth and Pattern Creation for
  a Layered Aorta   Residual stress is ubiquitous and indispensable in most biological and
artificial materials, where it sustains and optimizes many biological and
functional mechanisms. The theory of volume growth, starting from a stress-free
initial state, is widely used to explain the creation and evolution of
growth-induced residual stress and the resulting changes in shape, and to model
how growing bio-tissues such as arteries and solid tumors develop a strategy of
pattern creation according to geometrical and material parameters. This
modelling provides promising avenues for designing and directing some
appropriate morphology of a given tissue or organ and achieve some targeted
biomedical function. In this paper, we rely on a modified, augmented theory to
reveal how we can obtain growth-induced residual stress and pattern evolution
of a layered artery by starting from an existing, non-zero initial residual
stress state. We use experimentally determined residual stress distributions of
aged bi-layered human aortas and quantify their influence by a magnitude
factor. Our results show that initial residual stress has a more significant
impact on residual stress accumulation and the subsequent evolution of patterns
than geometry and material parameters. Additionally, we provide an essential
explanation for growth-induced patterns driven by differential growth coupled
to an initial residual stress. Finally, we show that initial residual stress is
a readily available way to control growth-induced pattern creation for tissues
and thus may provide a promising inspiration for biomedical engineering.

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The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
1
The categories of this paper are: cs