Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nanoindentation stress-strain for Fracture Analysis and computational
  modeling for hardness and modulus   Stress-strain plots based on nanoindentation load-depth curves reflected
cracking phenomenon. A transition from ductile to brittle fracture was observed
on increasing the depth or load of indenter penetration. A new approach with
shape factors in the fracture studies based on radial crack branching and
micro-cracking was done. Hardness and modulus plots were fitted with
polynomials. The coefficients were varied to obtain different hardness and
modulus responses.

18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio