Inverse Problems Related to the Mechanics and Fracture of Solids and Structures

Kubo, Shiro

doi:10.1299/jsmea1988.31.2_157

Cited by 52 publications

(39 citation statements)

References 19 publications

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“…As the inverse analysis method for identifying surface cracks, the least residual method (14) was applied. In this method, computed electric potential values are compared with the measured electric potential values to determine the most plausible crack location and size.…”

Section: Process For Crack Identificationmentioning

confidence: 99%

Experimental Study on Applicability of Passive Electric Potential CT Method for Identification of Three-Dimensional Surface Crack

Shiozawa

Kubo

Sakagami

2006

JSME Int. J., Ser. A

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In this paper, we examine the applicability of the passive electric potential CT (computed tomography) method to the quantitative identification of three-dimensional cracks in structures. In this method, a piezoelectric film is glued on the surface of structures. The electric potential values on the piezoelectric film change due to the strain distribution on the surface of the structures, when the structures are subjected to an external load. The strain distribution induces an electric potential distribution on the piezoelectric film. Then, this method does not require electric current application, and passively observed electric potential values on piezoelectric film can be used for crack identification. The electric potential distribution on piezoelectric film was investigated numerically and experimentally. It was found that the electric potential distribution shows a characteristic change corresponding to the shape of the surface crack. An inverse method based on the least residual method was applied to crack identification from the electric potential distribution. In this inverse method, the square sum of residuals is evaluated between the measured electric potential distributions and those computed from the electric potential distribution of the piezoelectric film. Three-dimensional surface cracks were identified from the measured electric potential distribution. It was found that the location and size of the crack can be quantitatively estimated using a two-dimensional distribution of electric potential.

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Section: Process For Crack Identificationmentioning

confidence: 99%

Experimental Study on Applicability of Passive Electric Potential CT Method for Identification of Three-Dimensional Surface Crack

Shiozawa

Kubo

Sakagami

2006

JSME Int. J., Ser. A

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“…(1) and (2) define a so-called direct problem (Kubo, 1988). The solution can be approximated by a straightforward analysis using a numerical scheme such as the finite element method.…”

Section: General Description Of the Nonlinear Problemmentioning

confidence: 99%

An Experimental-Numerical Method for Nonlinear Structural Mechanics

Starmans

Brekelmans

Janssen

1993

Journal of Applied Mechanics

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“…Kubo [24] has defined inverse problems in opposition to direct problems. Direct problems are problems for which the geometry of the domain, the equilibrium equations, the constitutive equations, the boundary conditions on the whole boundary of the domain and the initial conditions are all given.…”

Section: Introductionmentioning

confidence: 99%

An iterative method for the Cauchy problem in linear elasticity with fading regularization effect

Delvare¹,

Cimetière²,

Hanus³

et al. 2010

Computer Methods in Applied Mechanics and Engineering

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In this paper, an iterative method for solving the Cauchy problem in linear elasticity is introduced. This problem consists in recovering missing data (displacements and forces) on some parts of a domain boundary from the knowledge of overspecified data (displacements and forces) on the remaining parts. The algorithm reads as a least square fitting of the given data, with a regularization term whose effect fades as the iterations go on. So the algorithm converges to the solution of the Cauchy problem. Numerical simulations using the finite element method highlight the algorithm's efficiency, accuracy, robustness to noisy data as well as its ability to deblur noisy data.

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Inverse Problems Related to the Mechanics and Fracture of Solids and Structures

Cited by 52 publications

References 19 publications

Experimental Study on Applicability of Passive Electric Potential CT Method for Identification of Three-Dimensional Surface Crack

Experimental Study on Applicability of Passive Electric Potential CT Method for Identification of Three-Dimensional Surface Crack

An Experimental-Numerical Method for Nonlinear Structural Mechanics

An iterative method for the Cauchy problem in linear elasticity with fading regularization effect

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