Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Half-analytical Elastic Solution for 2D Analysis of Cracked Pavements   This paper presents a half-analytical elastic solution convenient for
parametric studies of 2D cracked pavements. The pavement structure is reduced
to three elastic and homogeneous equivalent layers resting on a soil. In a
similar way than the Pasternak's modelling for concrete pavements, the soil is
modelled by one layer, named shear layer, connected to Winkler's springs in
order to ensure the transfer of shear stresses between the pavement structure
and the springs. The whole four-layer system is modelled using a specific model
developed for the analysis of delamination in composite materials. It reduces
the problem by one dimension and gives access to regular interface stresses
between layers at the edge of vertical cracks allowing the initial debonding
analysis. In 2D plane strain conditions, a system of twelve-second order
differential equations is written analytically. This system is solved
numerically by the finite difference method (Newmark) computed in the free
Scilab software. The calculus tool allows analysis of the impact of material
characteristics changing, loads and locations of cracks in pavements on the
distribution of mechanical fields. The approach with fracture mechanic concepts
is well suited for practical use and for some subsequent numerical developments
in 3D.

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The categories of this paper are: stat
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The categories of this paper are: chem-ph
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The categories of this paper are: q-bio
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The categories of this paper are: bayes-an
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The categories of this paper are: astro-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: acc-phys
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The categories of this paper are: funct-an
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The categories of this paper are: math-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-fin
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The categories of this paper are: eess
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The categories of this paper are: atom-ph