Dynamic Line-Spring Model for the Simplified Analysis of the Dynamic Stress-Intensity Factor for 3-D Surface Cracks

Masumi Saka, Masao Akamatsu, Hiroyuki AbÉ

Research output: Contribution to journalArticlepeer-review

Abstract

A dynamic line-spring model is proposed for the simplified analysis of the dynamic stress intensity factor for part-through surface cracks. A plate containing two surface cracks is modeled as a 1-D plate in plane stress with a through crack. Surfaces of the through crack are connected by dynamic line-springs distributed continuously along the through crack. In the case of static loading, the present model reduces to the static model proposed by Rice and Levy. As an example of the application of the present model, the dynamic response of a plate containing two semi-elliptical surface cracks is analysed where the plate is subjected to a vibrating stress at its ends. It is found that the dynamic stress-intensity factor takes its maximum value at the deepest penetration point of the surface crack and begins to increase markedly near the first resonance frequency as the frequency of the applied stress increases.

Original languageEnglish
Pages (from-to)1347-1355
Number of pages9
JournalTransactions of the Japan Society of Mechanical Engineers Series A
Volume53
Issue number491
DOIs
Publication statusPublished - 1987

Keywords

  • 3-D Surface Crack
  • Dynamic Line-Spring Model
  • Dynamic Stress-Intensity Factor
  • Finite Element Method
  • Fracture
  • Frequency Response

ASJC Scopus subject areas

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

Fingerprint Dive into the research topics of 'Dynamic Line-Spring Model for the Simplified Analysis of the Dynamic Stress-Intensity Factor for 3-D Surface Cracks'. Together they form a unique fingerprint.

Cite this