Hypersingular shape sensitivity boundary integral equation for crack identification under harmonic elastodynamic excitation

Model-based nondestructive testing (NDT) requires fast and accurate solutions of the response of the mechanical model including the defect as well as the sensitivity of this response to the variation of the parameters describing the defect. For modelling crack-type defects under dynamic conditions,...

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Bibliographic Details
Published in:Computer methods in applied mechanics and engineering Vol. 196; no. 25; pp. 2596 - 2618
Main Authors: Rus, Guillermo, Gallego, Rafael
Format: Journal Article
Language:English
Published: Amsterdam Elsevier B.V 01.05.2007
Elsevier
Subjects:
Boundary element method (BEM)
Boundary integral equations (BIE)
Computational techniques
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Hypersingular
Identification inverse problem (IIP)
Mathematical methods in physics
Measurement and testing methods
Optimization algorithms
Physics
Quantitative non-destructive evaluation (QNDE)
Sensitivity
Solid mechanics
Static elasticity (thermoelasticity...)
Structural and continuum mechanics
Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
Quantitative non-destructive evaluation (QNDE)
43.40.L
81.70
Sensitivity
Identification inverse problem (IIP)
Optimization algorithms
Boundary element method (BEM)
Hypersingular
Boundary integral equations (BIE)
Elastic constant
Singularity
Boundary integral method
Elastic wave
Modeling
Defect characterization
Dimensional control
Integral equation
System identification
Elastodynamics
Ultrasound
Measurement error
Boundary element method
Geometrical shape
Sensitivity analysis
Vibration
Deformation modulus
Mechanical properties
Minimization
Inverse problem
Response variability
Sinusoidal excitation
Non destructive test
Structural analysis
Dynamic load
ISSN:0045-7825, 1879-2138
Online Access:Get full text
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Summary:Model-based nondestructive testing (NDT) requires fast and accurate solutions of the response of the mechanical model including the defect as well as the sensitivity of this response to the variation of the parameters describing the defect. For modelling crack-type defects under dynamic conditions, like vibration analysis or ultrasonics, the boundary element method (BEM) is especially well suited, in particular due to the hypersingular formulation. The present work presents the stress sensitivity boundary integral equation, δ q BIE, and its use for the solution of the inverse problem when coupled to gradient-based minimization algorithms. The capability of solving numerically a NDT problem such as the location and characterization of cracks by measuring the dynamic response at an accessible boundary of the specimen is evaluated. For that, the accuracy and convergence of the sensitivity from the δ q BIE is verified. Then, comprehensive convergence tests are made for the initial guess, the amount of supplied measurements, and simulated errors on measurements, geometry, elastic constants and frequency.
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ISSN:0045-7825
1879-2138
DOI:10.1016/j.cma.2006.12.004