Inverse first-order reliability method for probabilistic fatigue life prediction of composite laminates under multiaxial loading

Yibing Xiang, Yongming Liu

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

Abstract

A new methodology for concurrent dynamic analysis and structural fatigue prognosis is proposed in this paper. The proposed methodology is based on a novel small timescale formulation of material fatigue crack growth that calculates the incremental crack growth at any arbitrary time within a loading cycle. It defines the fatigue crack kinetics based on the geometric relationship between the crack-tip opening displacement and the instantaneous crack growth rate. The proposed crack growth model can be expressed as a set of first-order differential equations. The structural dynamics analysis and fatigue crack growth model can be expressed as a coupled hierarchical state-space model. The dynamic response (structural level) and the fatigue crack growth (material level) can be solved simultaneously. Several numerical problems with single-degree-of-freedom and multiple-degree-of-freedom cases are used to show the proposed methodology. Model predictions are validated by using coupon testing data from open literature. Following this, the methodology is demonstrated by using a steel girder bridge. The proposed methodology shows that concurrent structural dynamics and material fatigue crack growth analysis can be achieved. Cycle-counting method in the conventional fatigue analysis can be avoided. Comparison with experimental data for structural steels shows a satisfactory accuracy by using the proposed coupled state-space model.

Original languageEnglish (US)
Pages (from-to)189-198
Number of pages10
JournalJournal of Aerospace Engineering
Volume24
Issue number2
DOIs
StatePublished - Apr 2011
Externally publishedYes

Keywords

  • Axial loads
  • Composite laminate
  • Composite materials
  • Fatigue
  • Inverse form
  • Laminated materials
  • Multiaxial fatigue
  • Reliability

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Materials Science(all)
  • Aerospace Engineering
  • Mechanical Engineering

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