Size effect in penetration of sea ice plate with part-through cracks. II: Results

Zdeněk P. Bažant, Jang Jay H. Kim

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After development of the theory in the part I paper, systems of up to 300 nonlinear equations are solved in this paper by the Levenberg-Marquardt optimization algorithm. The maximum load is reached when the circumferential cracks begin to form. Numerical calculations show a typical quasi brittle size effect such that the plot of log σN versus log h (where αN = nominal stress at maximum load and h = plate thickness) is a descending curve whose slope is negligible only for h < 0.2 m and then gets gradually steeper, asymptotically approaching -1/2. The calculated size effect agrees with the existing test data, and contradicts previous plasticity solutions.

Original languageEnglish
Pages (from-to)1316-1324
Number of pages9
JournalJournal of Engineering Mechanics
Issue number12
Publication statusPublished - 1998 Dec


All Science Journal Classification (ASJC) codes

  • Mechanics of Materials
  • Mechanical Engineering

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