An optimized representative volume element to predict the stiffness of aligned short fiber composites

Shokrieh, M.M.; Moshrefzadeh-Sani, Hadi

doi:10.1177/0021998315618456

Cited by 8 publications

(5 citation statements)

References 28 publications

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“…Noting that in our analytical model, the lateral outer surface of the matrix ( r = b ) can be stretched along z direction, but the radial displacement is the same regardless of a z coordinate (Ding et al., 2002; Iii and Liang, 1999; Shokrieh and Moshrefzadeh-Sani, 2016). In other words, the outer surface of the matrix remains vertical all the time under the longitudinal loading.…”

Section: Discussionmentioning

confidence: 99%

Elastic moduli prediction of a short fiber composite with interface debonding at fiber ends

Huang,

Wan

2024

International Journal of Damage Mechanics

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This work deals with the fiber ends debonding-induced elastic moduli degradation of a short fiber reinforced composite (SFRC). The strain fields of the matrix in a representative volume element (RVE) of the SFRC are determined from an imaginary fiber technique. By using the debonding boundary conditions, the debonded modulus of the composite is derived, which is affected by not only the far-field but also the transient solutions for the longitudinal strain of the matrix. Particularly, the imaginary fiber technique provides unbounded solution for a moderately large fiber aspect ratio. This is resolved by separating the RVE along the fiber direction into two domains. Combining the longitudinal strains in both domains, the longitudinal modulus is determined, and the longitudinal bridging tensor element in the micromechanics Bridging Model is amended. Five elastic moduli of an SFRC after the fiber end debonding are obtained on the amended Bridging Model. The effects of the fiber volume fraction, fiber aspect ratio, and fiber-to-matrix modulus ratio on the end-debonded longitudinal modulus, transverse modulus, and longitudinal Poisson’s ratio are investigated.

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Section: Discussionmentioning

confidence: 99%

Elastic moduli prediction of a short fiber composite with interface debonding at fiber ends

Huang,

Wan

2024

International Journal of Damage Mechanics

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“…This is because the particle size of the original ceramic powders is too large to infiltrate evenly into inner cross-linked space. Ultimately, the large inter-space between uneven matrix and alumina fibres may lead to weak bonding at the fibre/matrix interface, which can not transfer the internal stress from matrix to fibres in time, while carrying external loads [20,21]. Besides, the alumina fibres treated for 1 min in the second-step ball-milling process are uniformly distributed in ceramic powders (Fig.…”

Section: Effects Of Ball-milling Timementioning

confidence: 99%

Mechanical properties of large-sized thin architectural ceramic plate enhanced by alumina fibres and in situ mullite whiskers

Zhong

Cao

Huang

et al. 2022

PAC

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The fibres reinforced thin architectural ceramic plates of 900?1800?2.5mm with excellent mechanical properties were prepared by fast-sintering method using a controllable fibre dispersion process. The effects of ball-milling time on dispersity, average length-to-diameter ratio and microstructure of alumina fibres were investigated. Meanwhile, the effects of alumina fibre contents on the bulk density, water absorption, phase transformation and microstructure of the thin ceramic plate were researched. It was found that the two-step ball-milling process can effectively control the average length-to-diameter ratio of alumina fibres, achieving a good dispersion mixture of fibres and ceramic powders. Ceramics bulk density and bending strength increase with fibre contents rise from 0 to 5 wt.% and then decrease with further fibre content addition from 5 to 15wt.%. The in situ formed mullite whiskers via fast-sintering method are beneficial for protecting fibres and fibre/matrix interfaces. The maximum value of bending strength and fracture toughness reach 147MPa for 5 wt.% fibre contents and 2.6MPa?m1/2 for 9 wt.%fibre contents, corresponding to the strengthening of alumina fibres and the formation of mullite whiskers in fibre/matrix interfaces and matrix via fast-sintering process.

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“…Then, the formulation of FE equations in 3-D space for the initial configuration (t=0) are constructed, using representative volume element method (RVE), as shown in Figure 5(a). This method has been proven to be reliable with modeling the mechanical properties of wood fiber composites [37][38][39][40]. With a given value of ϕ and densities of matrix and fibers, the physical parameters a, b, c, T and L can be determined.…”

Section: Materials Parameters and Conditionsmentioning

confidence: 99%

A Novel Space-Time Finite Element Algorithm to Investigate the Hygro-Mechanical Behaviours of Wood Fiber-Polymer Composites

Charupeng¹,

Kunthong²

2022

MMEP

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Moisture-induced swelling, or hygroexpansion, has been known to greatly deteriorate the durability of wood fiber-polymer composites (WPC). It is generally very expensive to perform experiments to completely obtain the diffusion kinetics as the process occurs in a very extended period of time. For the first time, we have developed a space-time finite element algorithm that employs time discontinuous Galerkin (TDG) method for time-dependent 3D hygro-mechanical behaviours of WPC. The formulation of matrix equations in spatial and temporal domains are explained in detail. A block Gauss-Seidel iterative method is used in the predictor/multi-corrector multi-pass algorithm, which efficiently yields unconditionally stable and high-order accurate solutions. The model is validated by comparing the predicted time-dependent hygroexpansion with that obtained in a previous experimental study. The quantitative analysis ensures the reliability of model, based on a Fickian diffusion process. With our adaptive time-stepping scheme that bases on the embedded solution from the multi-pass iterations, the model efficiently progresses the kinetics with relatively large time steps. A runtime of a few hours compared to about three months of actual laboratory experimentation confirms the novelty and robustness of our model.

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An optimized representative volume element to predict the stiffness of aligned short fiber composites

Cited by 8 publications

References 28 publications

Elastic moduli prediction of a short fiber composite with interface debonding at fiber ends

Elastic moduli prediction of a short fiber composite with interface debonding at fiber ends

Mechanical properties of large-sized thin architectural ceramic plate enhanced by alumina fibres and in situ mullite whiskers

A Novel Space-Time Finite Element Algorithm to Investigate the Hygro-Mechanical Behaviours of Wood Fiber-Polymer Composites

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