Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Induced stresses in quasi-spherical elastic vesicles: local and global
  Laplace-Young law   On elastic spherical membranes, there is no stress induced by the bending
energy and the corresponding Laplace-Young law does not involve the elastic
bending stiffness. However, when considering an axially symmetrical
perturbation that pinches the sphere, it induces nontrivial stresses on the
entire membrane. In this paper we introduce a theoretical framework to examine
the stress induced by perturbations of geometry around the sphere. We find the
local balance force equations along the normal direction to the vesicle, and
along the unit binormal, tangent to the membrane; likewise, the global balance
force equation on closed loops is also examined. We analyze the distribution of
stresses on the membrane as the budding transition occurs. For closed membranes
we obtain the modified Young-Laplace law that appears as a consequence of this
perturbation.

31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
2
The categories of this paper are: math
14
The categories of this paper are: math-ph
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys