Abstract

The approach to cyclic fatigue fracture testing of metals and alloys with the data presentation as “Paris-Graph” developed by Paul Paris and co-workers has proven immensely useful for structural engineering. It is, therefore, understandable that the later development of fatigue fracture test methods for fiber-reinforced polymer (FRP) composites followed this route also. However, recently questions have been raised by several researchers that require looking at fatigue fracture of FRP composites in more detail in attempts at using the full potential of this class of materials in structural applications. One of these questions is how the apparent analogy in the shape of the curves between Paris-Graphs of metals, alloys and FRP composites relates to the material specific, physical damage mechanisms. For FRP composites, the investigation of these mechanisms has a long history, but only recently, there seems to be a real advance using sophisticated pattern recognition of acoustic emission waveforms with complementary methods such as multi-physics simulations or high-resolution X-ray computed tomography. Comparing, e.g., crack sizes on the order of tens of micrometers occurring on time-scales of microseconds or less with visually observed delamination propagation, it becomes clear that the data analysis for the Paris-graph is averaging over orders of magnitudes in both, length and time-scales and this inevitably involves some scatter. Another question raised concerns the apparently larger scatter in Paris-Graphs obtained for FRP composites compared to those of metals or alloys. Again, a full understanding of the sources of this scatter has not been reached yet, but likely, the complex morphology and microscopic damage mechanisms of FRP composites play a role. There are further effects from mesoscopic or large-scale fiber bridging in fatigue fracture due to special fiber lay-up used in testing. For structural design with FRP composites, it is not sufficient to select the material performing “best” in the fatigue fracture tests, but it is essential to have safe, reliable, but on the other hand realistic design limits. Scatter in the data and how much of that has to be taken into account first requires understanding the extrinsic (test related) and intrinsic (material related) scatter sources. The concept of a fatigue threshold is also important for fracture-based structural design, since there are indications that threshold values for FRP composites may be quite low.

Highlights

  • The successful application of Paris-plots with the empirical data correlation, and their later refinements, in structural engineering may have, at least in part, contributed to the fact that alternative descriptions of fatigue fracture, e.g., based on the Forman- or Hartman-Schijve equation [9] or similar equations used in the NASGRO® software with its database for fatigue crack growth analysis [10] were discussed much less in literature

  • Selected aspects of the characterization of fatigue fracture in fiber-reinforced polymer-matrix (FRP) composite materials are discussed with a focus on scatter sources, the scope of respective test procedures and the implications for structural design

  • Summary and open questions From the data presented and from the discussion above it can be concluded that (1) there is still no full understanding of the effects that require consideration when testing FRP composite materials under cyclic fatigue loads with the aim of using the data for design limits, but that (2) at least for Mode I tensile opening loads certain extrinsic sources of scatter have been identified and that (3) again at least for Mode I, approaches have been proposed for quantifying the fiber bridging effects intrinsic to the test specimens with unidirectional fiber lay-up for estimating safe design limits for FRP composite components and structures

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Summary

Introduction

This looks promising for quantification of scatter and for determining conservative design limits FRP structures, at least for fatigue fracture under mode I tensile opening loads, as discussed in detail by [16,17].

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