Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Shape derivatives for the penalty formulation of contact problems with
  Tresca friction   In this article, the shape optimization of a linear elastic body subject to
frictional (Tresca) contact is investigated. Due to the projection operators
involved in the formulation of the contact problem, the solution is not shape
differentiable in general. Moreover, shape optimization of the contact zone
requires the computation of the gap between the bodies in contact, as well as
its shape derivative. Working with directional derivatives, sufficient
conditions for shape differentiability are derived. %The problem is addressed
in the general framework of two bodies with smooth boundaries. Then, some
numerical results, obtained with a gradient descent algorithm based on those
shape derivatives, are presented.

11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph