Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Virtual Displacement based Discontinuity Layout Optimization   Discontinuity layout optimization (DLO) is a relatively new upper bound limit
analysis method. Compared to classic topology optimization methods, aimed at
obtaining the optimum design of a structure by considering its self-weight,
building cost or bearing capacity, DLO optimizes the failure pattern of the
structure under specific loading conditions and constraints by minimizing the
dissipation energy. In this work, we present a modified DLO algorithm that
contains all of the advantages of DLO. It is referred to virtual
displacement-based discontinuity layout optimization (VDLO). VDLO takes the
stress state of a loaded structure as a snapshot and correspondingly provides
the optimum failure pattern, which greatly extends the application potential of
DLO. Numerical examples indicate the effectiveness and flexibility of VDLO. It
is regarded as a highly promising supplemental tool for other numerical methods
in element-/node-based frameworks.

13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
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The categories of this paper are: mtrl-th
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The categories of this paper are: funct-an
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The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys