Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Monitoring near-surface depth profile of residual stress in weakly
  anisotropic media by Rayleigh-wave dispersion   Herein we study the inverse problem on inferring depth profile of
near-surface residual stress in a weakly anisotropic medium by boundary
measurement of Rayleigh-wave dispersion if all other relevant material
parameters of the elastic medium are known. Our solution of this inverse
problem is based on a recently developed algorithm by which each term of a
high-frequency asymptotic formula for dispersion relations can be computed for
Rayleigh waves that propagate in various directions along the free surface of a
vertically-inhomogeneous, prestressed, and weakly anisotropic half-space. As a
prime example of possible applications we focus on a thick-plate sample of AA
7075-T651 aluminum alloy, which has one face treated by low plasticity
burnishing (LPB) that induced a depth-dependent prestress at and immediately
beneath the treated surface. We model the sample as a prestressed,
weakly-textured orthorhombic aggregate of cubic crystallites and assume that by
nondestructive and/or destructive measurements we have ascertained everything
about the sample, including the LPB-induced prestress, before it is put into
service. Under the supposition that the prestress be partially relaxed but
other material parameters remain unchanged after the sample undergoes a period
of service, we examine the possibility of inferring the depth profile of the
partially relaxed stress by boundary measurement of Rayleigh-wave dispersion.

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The categories of this paper are: solv-int
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The categories of this paper are: supr-con
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The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
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The categories of this paper are: chem-ph
2
The categories of this paper are: math
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The categories of this paper are: alg-geom
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The categories of this paper are: quant-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: ao-sci
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The categories of this paper are: patt-sol
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The categories of this paper are: q-alg
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The categories of this paper are: nlin
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The categories of this paper are: dg-ga