Natural stiffening increases flaw tolerance of biological fibers

Giesa, Tristan; Pugno, Nicola; Buehler, Markus J.

doi:10.1103/physreve.86.041902

Cited by 16 publications

(12 citation statements)

References 57 publications

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“…[31] This shows that the resilience of materials is greatly enhanced through hierarchical structure originating at the nanoscale, as deformation and damage processes become translated to larger scales. [32] A similar setup can be found in the cellulose fibers in wood, where an arrangement of nanocrystals forms nanometer-sized microfibrils that are densely packed into a lattice like structure. [33] Also collagen (e.g., in bone and mussel threads), keratin-based materials, chitin-protein fibers and their derivatives contain highly repetitive patterns on several length scales that can be interpreted as a lattice with spacing r 0 .…”

Section: Connecting the Length Scalesmentioning

confidence: 93%

What's Inside the Box? – Length‐Scales that Govern Fracture Processes of Polymer Fibers

et al. 2013

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Section: Connecting the Length Scalesmentioning

confidence: 93%

What's Inside the Box? – Length‐Scales that Govern Fracture Processes of Polymer Fibers

et al. 2013

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“…In small scale materials, it has been well documented that failure does not need to occur at stress concentrators as the characteristic size of the defects falls below a critical value (Bonderer et al, 2008;Gao et al, 2003;Giesa et al, 2012;Gu et al, 2013;Kumar et al, 2009;Kumar et al, 2011;Kumar et al, 2013;Qin and Buehler, 2011;Sha et al, 2013;Zhang et al, 2012). In bulk materials, however, failure is usually made easier by stress concentration around crack-like notches (Bilby et al, 1963;Dugdale, 1960;Tada et al, 1985).…”

Section: Introductionmentioning

confidence: 95%

Origin of anomalous inverse notch effect in bulk metallic glasses

Pan

Zhou

Wang

et al. 2015

Journal of the Mechanics and Physics of Solids

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of anomalous inverse notch effect in bulk metallic glasses, Journal of the Mechanics and Physics of Solids, http://dx. AbstractUnderstanding notch-related failure is crucial for the design of reliable engineering structures. However, substantial controversies exist in the literature on the notch effect in bulk metallic glasses (BMGs), and the underlying physical mechanism responsible for the apparent confusion is still poorly understood. Here we investigate the physical origin of an inverse notch effect in a Zr-based metallic glass, where the tensile strength of the material is dramatically enhanced, rather than decreased (as expected from the stress concentration point of view), by introduction of a notch. Our experiments and molecular dynamics simulations show that the seemingly anomalous inverse notch effect is in fact caused by a transition in failure mechanism from shear banding at the notch tip to cavitation and void coalescence. Based on our theoretical analysis, the transition occurs as the stress triaxiality in the notched sample exceeds a material-dependent threshold value. Our results fill the gap in the current understanding of BMG strength and failure mechanism by resolving the conflicts on notch effects and may inspire re-interpretation of previous reports on BMG fracture toughness where pre-existing notches were routinely adopted.

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“…For these reasons, many efforts have been devoted to understanding the origin of such a specific and unusual response to external forces. However, the mechanism still remains unclear, although it is widely accepted that the internal structure such as the collagen degrees of freedom [12][13][14], the notion of collagen network [15][16][17][18], and the notion of fibers [19,20] play essential roles in the J-shaped behavior.…”

Section: Introductionmentioning

confidence: 99%

J-shaped stress-strain diagram of collagen fibers: Frame tension of triangulated surfaces with fixed boundaries

Takano

Koibuchi

2017

Phys. Rev. E

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We present Monte Carlo data of the stress-strain diagrams obtained using two different triangulated surface models. The first is the canonical surface model of Helfrich and Polyakov (HP), and the second is a Finsler geometry (FG) model. The shape of the experimentally observed stressstrain diagram is called J-shaped. Indeed, the diagram has a plateau for the small strain region and becomes linear in the relatively large strain region. Because of this highly non-linear behavior, the J-shaped diagram is far beyond the scope of the ordinary theory of elasticity. Therefore, the mechanism behind the J-shaped diagram still remains to be clarified, although it is commonly believed that the collagen degrees of freedom play an essential role. We find that the FG modeling technique provides a coarse-grained picture for the interaction between the collagen and the bulk material. The role of the directional degrees of freedom of collagen molecules or fibers can be understood in the context of FG modeling. We also discuss the reason for why the J-shaped diagram cannot (can) be explained by the HP (FG) model. *

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Natural stiffening increases flaw tolerance of biological fibers

Cited by 16 publications

References 57 publications

What's Inside the Box? – Length‐Scales that Govern Fracture Processes of Polymer Fibers

What's Inside the Box? – Length‐Scales that Govern Fracture Processes of Polymer Fibers

Origin of anomalous inverse notch effect in bulk metallic glasses

J-shaped stress-strain diagram of collagen fibers: Frame tension of triangulated surfaces with fixed boundaries

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