Parameter identification procedure as a dual boundary control problem for linear elastic materials

Yasuaki Ichikawa, Toshiyuki Ohkami

Research output: Contribution to journalArticle

24 Citations (Scopus)

Abstract

The material parameter identification problem is classified into the inverse and direct formulations. The former method was firstly proposed by Kavanagh (1973). The procedure is as follows: Observed data are built in boundary conditions of the finite element formulation, then by using its inverse relation the elastic constants are obtained. This is a simple method, however, it sometimes gives inaccurate results. The second formulation is based on the least square method. That is, material parameters are identified by minimizing the error defined between observed data and computed results. This method also gives an insufficient solution especially for the case to identify Young's modulus and Poisson's ratio simultaneously. We here propose a new method under the concept of boundary control.

Original languageEnglish
Pages (from-to)35-44
Number of pages10
JournalSoils and Foundations
Volume32
Issue number2
Publication statusPublished - Jun 1992
Externally publishedYes

Fingerprint

Identification (control systems)
Poisson ratio
Elastic constants
Elastic moduli
Boundary conditions
Young modulus
least squares method
boundary condition
parameter
material
method

ASJC Scopus subject areas

  • Earth and Planetary Sciences (miscellaneous)
  • Geotechnical Engineering and Engineering Geology

Cite this

Parameter identification procedure as a dual boundary control problem for linear elastic materials. / Ichikawa, Yasuaki; Ohkami, Toshiyuki.

In: Soils and Foundations, Vol. 32, No. 2, 06.1992, p. 35-44.

Research output: Contribution to journalArticle

@article{af0878db41aa4f16801fa59acf816122,
title = "Parameter identification procedure as a dual boundary control problem for linear elastic materials",
abstract = "The material parameter identification problem is classified into the inverse and direct formulations. The former method was firstly proposed by Kavanagh (1973). The procedure is as follows: Observed data are built in boundary conditions of the finite element formulation, then by using its inverse relation the elastic constants are obtained. This is a simple method, however, it sometimes gives inaccurate results. The second formulation is based on the least square method. That is, material parameters are identified by minimizing the error defined between observed data and computed results. This method also gives an insufficient solution especially for the case to identify Young's modulus and Poisson's ratio simultaneously. We here propose a new method under the concept of boundary control.",
author = "Yasuaki Ichikawa and Toshiyuki Ohkami",
year = "1992",
month = "6",
language = "English",
volume = "32",
pages = "35--44",
journal = "Soils and Foundations",
issn = "0038-0806",
publisher = "Japanese Geotechnical Society",
number = "2",

}

TY - JOUR

T1 - Parameter identification procedure as a dual boundary control problem for linear elastic materials

AU - Ichikawa, Yasuaki

AU - Ohkami, Toshiyuki

PY - 1992/6

Y1 - 1992/6

N2 - The material parameter identification problem is classified into the inverse and direct formulations. The former method was firstly proposed by Kavanagh (1973). The procedure is as follows: Observed data are built in boundary conditions of the finite element formulation, then by using its inverse relation the elastic constants are obtained. This is a simple method, however, it sometimes gives inaccurate results. The second formulation is based on the least square method. That is, material parameters are identified by minimizing the error defined between observed data and computed results. This method also gives an insufficient solution especially for the case to identify Young's modulus and Poisson's ratio simultaneously. We here propose a new method under the concept of boundary control.

AB - The material parameter identification problem is classified into the inverse and direct formulations. The former method was firstly proposed by Kavanagh (1973). The procedure is as follows: Observed data are built in boundary conditions of the finite element formulation, then by using its inverse relation the elastic constants are obtained. This is a simple method, however, it sometimes gives inaccurate results. The second formulation is based on the least square method. That is, material parameters are identified by minimizing the error defined between observed data and computed results. This method also gives an insufficient solution especially for the case to identify Young's modulus and Poisson's ratio simultaneously. We here propose a new method under the concept of boundary control.

UR - http://www.scopus.com/inward/record.url?scp=0026882703&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0026882703&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0026882703

VL - 32

SP - 35

EP - 44

JO - Soils and Foundations

JF - Soils and Foundations

SN - 0038-0806

IS - 2

ER -