Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Slight compressibility and sensitivity to changes in Poisson's ratio   Finite Element simulations of rubbers and biological soft tissue usually
assume that the material being deformed is slightly compressible. It is shown
here that in shearing deformations the corresponding normal stress distribution
can exhibit extreme sensitivity to changes in Poisson's ratio. These changes
can even lead to a reversal of the usual Poynting effect. Therefore the usual
practice of arbitrarily choosing a value of Poisson's ratio when numerically
modelling rubbers and soft tissue will, almost certainly, lead to a significant
difference between the simulated and actual normal stresses in a sheared block
because of the difference between the assumed and actual value of Poisson's
ratio. The worrying conclusion is that simulations based on arbitrarily
specifying Poisson's ratio close to 1/2 cannot accurately predict the normal
stress distribution even for the simplest of shearing deformations. It is shown
analytically that this sensitivity is due to the small volume changes which
inevitably accompany all deformations of rubber-like materials. To minimise
these effects, great care should be exercised to accurately determine Poisson's
ratio before simulations begin.

27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex