Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Combining mechanical and chemical effects in the deformation and failure
  of a cylindrical electrode particle in a Li-ion battery   A general framework to study the mechanical behaviour of a cylindrical
silicon anode particle in a lithium ion battery as it undergoes lithiation is
presented. The two-way coupling between stress and concentration of lithium in
silicon, including the possibility of plastic deformation, is taken into
account and two particular cases are considered. First, the cylindrical
particle is assumed to be free of surface traction and second, the axial
deformation of the cylinder is prevented. In both cases plastic stretches
develop through the entire cylinder and not just near the surface as is
commonly found in spherical anode particles. It is shown that the stress
evolution depends both on the lithiation rate and the external constraints.
Furthermore, as the cylinder expands during lithiation it can develop a
compressive axial stress large enough to induce buckling, which in turn may
lead to mechanical failure. An explicit criterion for swelling-induced buckling
obtained as a modification of the classical Euler buckling criterion shows the
competition between the stabilising effect of radius increase and the
destabilising effect of axial stress.

23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
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
3
The categories of this paper are: physics
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg