A novel crystallization kinetics model of transcrystalline used for crystallization behavior simulation of short carbon fiber‐reinforced polymer composites

Fang, Haidong; Wang, Xinyu; Gu, Junfeng; Li, Zheng; Ruan, Shilun; Shen, Changyu

doi:10.1002/pen.25028

Cited by 3 publications

(7 citation statements)

References 36 publications

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“…The crystallization kinetics model for SCFRP (Equation )) during isothermal crystallization has been verified by Fang. [ 29 ] However, the crystallization during cooling is mainly nonisothermal. Therefore, the crystallization kinetics model is further verified by analyzing isothermal and nonisothermal crystallization and compared with pixel coloring method proposed by Ruan.…”

Section: Resultsmentioning

confidence: 99%

“…In this paper, the crystallinity is calculated by the crystallization kinetics model of SCFRP proposed by Fang, [ 29 ]

α = 1 - \exp ()(, - V_{S} - V_{T})

V_{S} = C_{m} \int_{0}^{t} \frac{italicdN ()(, s)}{ds} {[\int_{s}^{t} G (u) d u]}^{n} normald s

V_{T} = C_{n} \sum_{i = 1}^{N_{italicSCF}} \int_{0}^{t} \frac{{dL}_{i} ()(, s)}{ds} (}{, {[\int_{s}^{t} G (u) d u + R_{italicSCF}]}^{p} - R_{SCF}^{p}) normald s

where, V s and V T are the extended volumes of spherulites and transcrystal, respectively. C m , C n , n , and p are constant parameters, C m = π, C n = 1, p = 1, and n = 2 for 2D simulation, and C m = 3π/4, C n = π, p = 2, and n = 3 for 3D simulation.…”

Section: Mathematical Modelingmentioning

confidence: 99%

“…Recently, We proposed an analytical model for SCFRP based on Kolmogorov model, and the model has been used in isothermal crystallization and verified with pixel coloring method and DSC experiment. [ 29 ]…”

Section: Introductionmentioning

confidence: 99%

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An analytical model for temperature and crystalline evolution analysis of carbon fiber reinforced polymer composites during cooling

Fang

Liu

et al. 2020

Polymer Composites

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An analytical model for analyzing the temperature and crystalline evolution of short carbon fiber reinforced polymer composites during cooling was established, and the model was firstly verified by calculating the crystallization kinetics of a short carbon fiber reinforced polypropylene (SCFRPP) plate during isothermal and nonisothermal crystallization. Then the model was extended to calculate the temperature and crystalline evolution of two numerical examples of SCFRPP parts during cooling with different temperature boundaries, and the effects of cooling rate and short carbon fiber (SCF) content were analyzed and compared. According to the results, SCF increases the onset crystallization temperature and accelerates the crystallization rate due to the formation of transcrystal. During the cooling stage, SCF changes the evolution of crystalline and temperature complicatedly, and the changes are more significant under lower cooling rate.

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Section: Resultsmentioning

confidence: 99%

“…In this paper, the crystallinity is calculated by the crystallization kinetics model of SCFRP proposed by Fang, [ 29 ]

α = 1 - \exp ()(, - V_{S} - V_{T})

V_{S} = C_{m} \int_{0}^{t} \frac{italicdN ()(, s)}{ds} {[\int_{s}^{t} G (u) d u]}^{n} normald s

V_{T} = C_{n} \sum_{i = 1}^{N_{italicSCF}} \int_{0}^{t} \frac{{dL}_{i} ()(, s)}{ds} (}{, {[\int_{s}^{t} G (u) d u + R_{italicSCF}]}^{p} - R_{SCF}^{p}) normald s

Section: Mathematical Modelingmentioning

confidence: 99%

See 1 more Smart Citation

An analytical model for temperature and crystalline evolution analysis of carbon fiber reinforced polymer composites during cooling

Fang

Liu

et al. 2020

Polymer Composites

Self Cite

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“…This final equation is correct and is the starting point of theories, which refer to Kolmogoroff. 27 T A B L E 1 Value of Avrami's exponent n function of the dimension of the problem and the mode of nucleation Dimension Heterogeneous Homogeneous…”

Section: Probabilistic Approachesmentioning

confidence: 99%

Modeling heat transfer and transcrystallization kinetics during processing of polymer‐based composites materials

Bigot

Boutaous

Xin

et al. 2022

Polymers for Advanced Techs

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Transcrystallization phenomena is a key issue to master for better understanding the role on the fiber‐matrix interface in composites materials behavior during and after processing. In this paper, a non‐isothermal kinetics model is presented to consider crystallization in fiber‐based composite with thermoplastic matrix. The model extends Schneider's formulation to describe the development of transcrystalline layers around fibers. It also mentions the possibility to easily account for shear and flow conditions in addition to the transcrystallinity. Another approach, based on the volume fractions, giving the same results, is also introduced for comparison. Then, a parametric study is proposed in order to demonstrate the relevance of the developed model by comparing its results to well‐known expecting behavior from the literature. Finally, an attempt is made to compare this model to the one proposed previously in the literature by Durin and al. after correcting some unclear points in the latter.

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“…In Frang and al. work on short fibers [5,6], spherulites and transcrystalline cylinders are assumed growing in the same space. The rate of transformation is obtained from Kolmogoroff's equations [7].…”

Section: Modelingmentioning

confidence: 99%

A Crystallization Kinetic Model for Long Fiber-Based Composite with Thermoplastic Semicrystalline Polymer Matrix

Bigot

Boutaous

Xin

et al. 2022

KEM

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A numerical model is presented to simulate the crystallization kinetics in fiber-based composite with thermoplastic semicrystalline matrix. The proposed model, based on Schneider's formalism, considers the specificity of crystalline entities growing in confined medium such as fibrous composite. Indeed, transcrystallization has been experimentally observed many times and its effects on both kinetics and mechanical properties have been largely demonstrated. As an application, this paper aims at illustrating this former effect with a finite element (FE) simulation of the cooling down of a plate. The simulated materials are polypropylene alone and a fiber-based composite with a polypropylene matrix. Information on the temperature, the rate of transformation and the microstructure are obtained from both materials and compared to emphasize the contribution of transcrystallization.

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A novel crystallization kinetics model of transcrystalline used for crystallization behavior simulation of short carbon fiber‐reinforced polymer composites

Cited by 3 publications

References 36 publications

An analytical model for temperature and crystalline evolution analysis of carbon fiber reinforced polymer composites during cooling

An analytical model for temperature and crystalline evolution analysis of carbon fiber reinforced polymer composites during cooling

Modeling heat transfer and transcrystallization kinetics during processing of polymer‐based composites materials

A Crystallization Kinetic Model for Long Fiber-Based Composite with Thermoplastic Semicrystalline Polymer Matrix

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