Effect of microstructural parameters on the fracture behavior of fiber-reinforced ceramics

Liu, Yu Fu; Masuda, Chitoshi; Yuuki, Ryoji

doi:10.1016/s0167-6636(98)00009-x

Cited by 13 publications

(3 citation statements)

References 26 publications

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“…The crack-bridging model (Bao and Suo, 1992) has been widely used to investigate the fracture problems of fiber-reinforced composites. This model can evaluate the effects of fiber distribution, bridging size, and interfacial parameters on the fracture toughness of composites (Budiansky and Amazigo, 1989;Rubinstein and Xu, 1992; Bao and Song, 1993;Meda and Steif, 1994;Liu et al, 1998). For example , Sun and Jin (2006) examined, by combining a crack-bridging zone and a cohesive zone, the fracture toughness of composites with the fiber-bridging effect.…”

Section: Introductionmentioning

confidence: 99%

A multiscale crack-bridging model of cellulose nanopaper

Meng

et al. 2017

Journal of the Mechanics and Physics of Solids

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The conflict between strength and toughness is a long-standing challenge in advanced materials design. Recently, a fundamental bottom-up material design strategy has been demonstrated using cellulose nanopaper to achieve significant simultaneous increase in both strength and toughness. Fertile opportunities of such a design strategy aside, mechanistic understanding is much needed to thoroughly explore its full potential. To this end, here we establish a multiscale crack-bridging model to reveal the toughening mechanisms in cellulose nanopaper. A cohesive law is developed to characterize the interfacial properties between cellulose nanofibrils by considering their hydrogen bonding nature. In the crack-bridging zone, the hydrogen bonds between neighboring cellulose nanofibrils may break and reform at the molecular scale, rendering a superior toughness at the macroscopic scale. It is found that cellulose nanofibrils exhibit a distinct size-dependence in enhancing the fracture toughness of cellulose nanopaper. An optimal range of the length-to-radius ratio of nanofibrils is required to achieve higher fracture toughness of cellulose nanopaper. A unified law is proposed to correlate the fracture toughness of cellulose nanopaper with its microstructure and material parameters. The results obtained from this model agree well with relevant experiments. This work not only helps decipher the fundamental mechanisms underlying the remarkable mechanical properties of cellulose nanopaper but also provides a guide to design a wide range of advanced functional materials.

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Section: Introductionmentioning

confidence: 99%

A multiscale crack-bridging model of cellulose nanopaper

Meng

et al. 2017

Journal of the Mechanics and Physics of Solids

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“…With crack growth and ®ber fracture criteria imposed on the results of Figs. 7 and 8, the crack growth process can be quanti®ed (Liu, Masuda and Yuuki (1998)). The distribution of the debond length within the bridging region is indicated in Fig.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…By using one interfacial parameter, i.e., constant shear frictional stress, to deal with the interfacial resistance effect, which is presumably applicable to composite systems with weak or unbonded sliding interfaces, a typical bridging law, r $ d p (Marshall and Cox (1987)), was obtained (with r and d representing the bridging traction and crack opening displacement, respectively. Besides friction at the interface, the importance of interface bonding and debonding phenomena encourages the use of interface bond strength or toughness, based on the debonding stress and energy release rate concepts of the debonding crack (Budiansky, Hutchinson and Evans (1986), Gao, Mai and Cotterell (1988), Hutchinson and Jensen (1990), Liu (1995)). However, effects of interfacial properties in the presence of both interface debonding and sliding on the fracture process of ®ber-reinforced ceramics, and bridging effects in a ®nite-sized specimen with material anisotropy remain less explored.…”

Section: Calculation Of Weight's Function By Bemmentioning

confidence: 99%

An efficient BEM to calculate weight functions and its application to bridging analysis in an orthotropic medium

Liu

Masuda

Yuuki

1998

Computational Mechanics

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An ef®cient boundary element method to calculate crack weight functions is developed. The weight function method is applied to bridging effect analysis in a single-edge notched composite specimen by using a bridging law which includes both interfacial debonding and sliding properties between ®ber and matrix in ceramic matrix composites. A numerical method to solve the distributed spring model treating bridging ®bers as stress distribution to close the crack surface is provided to determine the bridging stress, debond length, crack opening displacement and stress intensity factor.

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