A Parameter Identification Procedure as a Dual Boundary Control Problem for Linear Elastic Materials

Ichikawa, Yasuaki; Ohkami, T.

doi:10.3208/sandf1972.32.2_35

Cited by 29 publications

(21 citation statements)

References 6 publications

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“…Several computational approaches have been used in previous studies, e.g. Arai, Ohta, and Yasui (1983), Gioda and Sakurai (1987), Ichikawa and Ohkami (1992), Honjo, Tsung, and Guha (1994), Ohkami and Swoboda (1995), Swoboda et al (1999), Xiang, Swoboda, and Cen (2003), Chaparro et al (2008), Jiang, Wang, and Tang (2010), etc. Only static analysis is considered in *Corresponding author.…”

Section: Introductionmentioning

confidence: 99%

Second-order adjoint equation method for parameter identification of rock based on blast waves in tunnel excavation

Motoyama

Mikame

Nojima

et al. 2013

Engineering Optimization

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The objective of this study is to present a method for identifying the elastic moduli of ground rock via the first-and second-order adjoint methods using blast vibration measurements during tunnel excavation. For identifying these parameters, the magnitudes of the blast force should be identified beforehand. Parameter identification is a minimization problem of the square sum of the discrepancy between the computed and observed velocities. The magnitudes of the three components of borehole pressure are assumed to be independent in each direction. The propagation of an elastic wave is assumed because the amplitude of such a wave is infinitesimal. The three-dimensional finite element method and the linear acceleration method are used effectively. The extended performance function can be expanded into a series of small constants to derive the necessary condition of minimization. The adjoint equation and the dynamic equation of motion can be used to obtain the gradient and the Hessian product of the extended performance function with respect to the parameters. The weighted gradient method and Broyden-Flecher-Goldfarb-Shanno method are successfully employed for the minimization. By applying the present identification technique at the Ohyorogi tunnel site, the fact that the computed and observed velocities are well in agreement is verified. The present method can be shown to be useful for tunnel excavation.

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Section: Introductionmentioning

confidence: 99%

Second-order adjoint equation method for parameter identification of rock based on blast waves in tunnel excavation

Motoyama

Mikame

Nojima

et al. 2013

Engineering Optimization

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show abstract

“…Existing inverse analysis procedures are categorized into two types: Indirect approach (e.g. 1): An indirect inverse analysis procedure is derived by modifying a numerical model under the concept of boundary control 2; thus, quantities to be identified are solved from observed soil or rock behaviors. Direct approach (e.g. 1): Instead of modifying a numerical model, a direct inverse analysis procedure is developed by incorporating a numerical model with an error function, which is expressed by the discrepancies between measured and numerical results.…”

Section: Introductionmentioning

confidence: 99%

Numerical characterization of dispersion coefficients by meshless‐based inverse analysis

Sheu¹

2011

Num Anal Meth Geomechanics

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SUMMARYThis study presents the preliminary development of a meshless-based indirect inverse analysis. Two goals are desired to be attained: (a) identifying fewer quantities in an indirect inverse analysis and (b) getting the interpolation results of spatial variation of a quantity insensitive to the replacement of one or few interpolation points with other points. This idea is illustrated by modifying a meshless local PetrovGalerkin (MLPG) formulation of a two-dimensional (2D) contaminant transport problem under the concept of boundary control. Thus, dispersion coefficients to be identified are solved from measured or prescribed pollutant concentrations.A field problem is introduced to test the performance of resulting meshless-based indirect inverse analysis procedure. This test finds a major motive and a minor one for performing a meshless-based indirect inverse analysis. The major motive is attaining the aforementioned Goal (b), while the abovementioned Goal (a) is the minor motive. In conclusion, the development of a meshless-based indirect inverse analysis procedure can be a valuable application of the MLPG method.

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“…Several researches have successfully applied different varieties of the inverse analysis method to such inverse problems as constitutive function characterization [4], identification of material parameters present in various constitutive models of engineering materials [5,6,3], or load and boundary conditions identification [7]. The origins of the inverse analysis applied to the parameter identification can be traced back to the paper by Kavanagh et al [8] …”

Section: Introductionmentioning

confidence: 99%

Inverse Analysis Procedure for Identifying Material Parameters of Hypoplastic Constitutive Model for Soils

Dziadziuszko

Ichikawa

Sikora

2000

Journal of the Society of Materials Science, Japan

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In this paper we present an inverse analysis method for material parameter identification applied to the hypoplastic constitutive model for soils. The proposed method is classified as a directapproach one, since the discrepancy between the material responses, measured and calculated by means of the finite element method is directly minimized. In the presented work this minimization is made up of the modified Levenberg-Marquardt optimization method based on the so-called trust region approach. We provide a numerical example of parameter identification for a triaxial test performed on a sand material, supplemented by the analysis of the influence of the initial guesses of the parameters to be identified, as well as the errors in the measured control data on the identification process.

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A Parameter Identification Procedure as a Dual Boundary Control Problem for Linear Elastic Materials

Cited by 29 publications

References 6 publications

Second-order adjoint equation method for parameter identification of rock based on blast waves in tunnel excavation

Second-order adjoint equation method for parameter identification of rock based on blast waves in tunnel excavation

Numerical characterization of dispersion coefficients by meshless‐based inverse analysis

Inverse Analysis Procedure for Identifying Material Parameters of Hypoplastic Constitutive Model for Soils

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