Adjoint Numerical Method for the Identification of the Lamé Coefficients in Linear Elastic Wave Field

• SHIROTA Kenji

  茨城大学理学部数理科学科

• KITAHARA Michihiro

  Dedicated to the memory

Bibliographic Information

Other Title

• 弾性波動場におけるラメ係数同定に対する随伴数値解法

Abstract

The purpose of this research is to propose a numerical method for the problem of the identification of the elastic coefficients in linear elastic wave field: Determine unknown Young's modulus and Poisson's ratio from the knowledge of the plural sets of simultaneous displacement and traction on the surface of an isotropic, linearly elastic bounded body. The elastic body is supposed to be a state of the plane strain. We assume that the density is known in the elastic body. In this research, the Lamé coefficients are identified instead of determining unknown Young's modulus and Poisson's ratio. To determine the unknown Lamé coefficients numerically, we adopt the adjoint numerical method. The minimizing problem with some constrains is introduced by using variational method. To find the minimum, a technique based on the projected gradient method is proposed. By numerical experiment, we discuss about the efficacy of our algorithm.

Journal

• Journal of applied mechanics

  Journal of applied mechanics 7 167-174, 2004

  Japan Society of Civil Engineers

Keywords

• Coefficient identification
• linear elastic wave field
• adjoint numerical method

Details

• CRID: 1390282680182931456
• NII Article ID: 130004091570
• DOI: 10.2208/journalam.7.167
• ISSN: 1884832X
• ISSN: 13459139
• Data Source:
  • JaLC
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed