Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stress theory for classical fields   Classical field theories together with the Lagrangian and Eulerian approaches
to continuum mechanics are embraced under a geometric setting of a fiber
bundle. The base manifold can be either the body manifold of continuum
mechanics, space manifold, or space-time. Differentiable sections of the fiber
bundle represent configurations of the system and the configuration space
containing them is given the structure of an infinite dimensional manifold.
Elements of the cotangent bundle of the configuration space are interpreted as
generalized forces and a representation theorem implies that there exist a
stress object representing forces, non-uniquely. The properties of stresses are
studies as well as the role of constitutive relations in the present general
setting.

5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an