An evaluation method of macroscopic shape of defects in microscopically inhomogeneous materials

Translated title of the contribution: An evaluation method of macroscopic shape of defects in microscopically inhomogeneous materials

Kenjiro Terada, Kazuyuki Nakarata, Michihiro Kitahara

Research output: Contribution to journalArticlepeer-review

Abstract

A method of evaluating the macroscopic shape of defects in microscopically inhomogeneous material such as inclusion-reinforced composites is proposed by considering the order of scales that describes the mechanical behaviors (or physical phenomena). By using the method of multi-scale asymptotic expansions for field variables, the averaging technique with representative volume elements for inhomogeneous media becomes a reasonable tool to deal with the medium as a homogeneous one in macroscale. Therefore the linearized inverse scattering method along with Kirchhoff approximations can be applied to identify the shape of defects in macroscopically homogeneous media since the homogenization procedure replaces the media by homogeneous ones. Numerical examples show the capability of the proposed method to determine the shape of cracks whose sizes are much larger than the microscopic heterogeneities, which are invisible for ultrasonic waves.

Translated title of the contributionAn evaluation method of macroscopic shape of defects in microscopically inhomogeneous materials
Original languageJapanese
Pages (from-to)552-559
Number of pages8
JournalNihon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A
Volume65
Issue number631
DOIs
Publication statusPublished - 1999
Externally publishedYes

ASJC Scopus subject areas

  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering

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