Oscillatory instability of crack propagations in quasistatic fracture

Shin Ichi Sasa, Ken Sekimoto, Hiizu Nakanishi

Research output: Contribution to journalArticle

51 Citations (Scopus)

Abstract

Quasistatic crack propagations in a thin plate are studied theoretically. The Griffith theory is applied to determine a crack extension condition and the motion of crack tips in straight propagation. A linear stability problem for the straight propagation is formulated, based on the assumption that the crack tip moves in such a way that a singular shear stress is made to vanish. It is shown that straight propagations become unstable under certain conditions and that an oscillatory propagation appears. The critical conditions are calculated quantitatively, and the results are compared with the corresponding experiments.

Original languageEnglish
Pages (from-to)R1733-R1736
JournalPhysical Review E
Volume50
Issue number3
DOIs
Publication statusPublished - Jan 1 1994

Fingerprint

Crack Propagation
crack propagation
Propagation
Straight
propagation
crack tips
Crack Tip
thin plates
Thin Plate
Linear Stability
Shear Stress
shear stress
Vanish
Crack
cracks
Unstable
Motion
Experiment

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Physics and Astronomy(all)

Cite this

Oscillatory instability of crack propagations in quasistatic fracture. / Sasa, Shin Ichi; Sekimoto, Ken; Nakanishi, Hiizu.

In: Physical Review E, Vol. 50, No. 3, 01.01.1994, p. R1733-R1736.

Research output: Contribution to journalArticle

Sasa, Shin Ichi ; Sekimoto, Ken ; Nakanishi, Hiizu. / Oscillatory instability of crack propagations in quasistatic fracture. In: Physical Review E. 1994 ; Vol. 50, No. 3. pp. R1733-R1736.
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