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Contents
3Elastodynamicscatteringbyafiniteflatcrackandinverse
analysis
98
3.1
Integralequationsoftheelasticwavescatteringproblem
byaplanecrack.
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.100
3.2
Numericalmethodsofsolvingtheintegralequationsfora
disk-likeandtunnelcracks.
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.106
3.3
Determinationofthedimensionsofplanetunnelcracks.
.116
3.4
DeterminationofEDSoftheelasticmedium.
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.119
3.5
Determinationoforientationanddimensionsofplanecracks,
boundedbyaclosedsmoothcontour.
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.124
4Distancedeterminationofdimensionsandphysical-mechanical
parametersofathin-walledplaneinclusions
137
4.1
Integralequationsofelasticwavescatteringproblembya
planethin-walledinclusionofsmallrigidity.
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.138
4.2
Integro-differentialequationsofelasticwavescatteringprob-
lembyplanethin-walledinclusionoflargerigidity.
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4.3
Determinationofdimensionsofthin-walledabsolutelyrigid
stripinclusions.
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.150
4.4
Determinationofdimensionsandphysical-mechanicalpa-
rametersofathin-walledinclusionsoflargerigidity
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.158
4.5
Determinationofdimensionsandmechanicalparameters
ofathin-walledinclusionsoflowrigidity
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.169
53Delastodynamicdirectandinversewavesscattering
problems
177
5.1
Integralequationsofthedirectscatteringproblemsand
partialcasesoftheirapproximatesolving
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.178
5.2
Determinationoftheformofsmoothcavity.
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.188
5.3
Solutionofinverseprobleminacaseofnon-convexnon-
deformedscatterers.
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.196
5.4
Determinationoftheformofanelasticscatterer.
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.200
5.5
Applicationofiterativeregularizationmethodforrecon-
structionof3Dscatterergeometry.
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.206
6Determinationofformanddimensionsofanelasticob-
jectsinliquidenvironment
214
6.1
Integralequationsofdirectproblemsofsoundscattering
bynondeformedobstaclesandpartialcasesoftheirap-
proximatesolving.
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