Similarity Approach to Hertz Type Contact Problems

Galanov, Boris A.

doi:10.1007/978-1-4020-9033-2_11

Cited by 2 publications

(2 citation statements)

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“…Note that the absorbed energy scales as a power law with the split area (Figure a). Power law scaling is observed in many physical phenomena and is often associated with self-similarity . Images in Figure b–d indicate a degree of self-similarity in the crack geometries that may indicate self-similarity of lateral toughening mechanisms in fibers at different scales.…”

Section: Discussionmentioning

confidence: 93%

“…Power law scaling is observed in many physical phenomena and is often associated with selfsimilarity. 66 Images in Figure 7b−d indicate a degree of selfsimilarity in the crack geometries that may indicate selfsimilarity of lateral toughening mechanisms in fibers at different scales. Fractal scaling of oriented topographic features on surfaces of advanced fibers has been observed in the scale range from 100 to 4000 nm.…”

Section: Analysis Of Interfacial Separation Energies Atmentioning

confidence: 99%

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Hierarchical Mechanisms of Lateral Interactions in High-Performance Fibers

Stockdale

Cole

Staniszewski

et al. 2020

ACS Appl. Mater. Interfaces

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The processing conditions used in the production of advanced polymer fibers facilitate the formation of an oriented fibrillar network that consists of structures spanning multiple length scales. The irregular nature of fiber tensile fracture surfaces suggests that their structural integrity is defined by the degree of lateral (interfacial) interactions that exist within the fiber microstructure. To date, experimental studies have quantified interfacial adhesion between nanoscale fibrils measuring 10−50 nm in width, and the global fracture energy through applying peel loads to fiber halves. However, a more in-depth evaluation of tensile fracture indicates that fiber failure typically occurs at an intermediate length scale, involving fibrillation along interfaces between fibril bundles of a few 100s of nanometers in width. Interaction mechanisms at this length scale have not yet been studied, due in part to a lack of established experimental techniques. Here, a new focused ion beam-based sample preparation protocol is combined with nanoindentation to probe interfaces at the intermediate length scale in two high-performance fibers, a rigid-rod poly(p-phenylene terephthalamide) and a flexible chain ultrahigh molecular weight polyethylene fiber. Higher interfacial separation energy recorded in the rigid-rod fiber correlated with less intensive fibrillation during failure and is discussed in the context of fiber chemistry and processing. Power law scaling of the total absorbed interfacial separation energy at three different scales in the polyethylene fiber is observed and analyzed, and distinct energy absorption mechanisms, featuring a degree of self-similarity, are identified. The contribution of these mechanisms to the overall integrity of the fiber is discussed, and the importance of the intermediate scale is elucidated. Results from this study provide new insights into the mechanical implications of hierarchical lateral interactions and will aid in the development of novel fibers with further improved mechanical performance.

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Section: Discussionmentioning

confidence: 93%

Section: Analysis Of Interfacial Separation Energies Atmentioning

confidence: 99%