A multiscale modeling of CNT-reinforced cement composites

Wang, JianFei; Zhang, Luwen; Liew, K.M.

doi:10.1016/j.cma.2016.06.019

Cited by 28 publications

(10 citation statements)

References 61 publications

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“…To validate the scaling factor = √ 1 2 derived from the optimization problem (Equation 19), we first compare the condition number produced by the 8-fold topological enrichment using this scaling factor with those from other scaling choices including = 1 , 2 , and 1 (no scaling). For intermediate mesh (h e = L∕50), Figure 12 depicts the condition number of the global stiffness matrix as a function of the modulus ratio E r for different choices of scaling factor .…”

Section: Conditioning: 8-fold Vs 12-fold Enrichment Functionsmentioning

confidence: 99%

“…Fracture mechanics methods have been the major tool used for modeling the mechanical behavior of interface cracks in bimaterial media. Generally speaking, these methods can be grouped into 2 families: linear elastic fracture mechanics (LEFM) approaches and cohesive zone models . Recently, Yuan and Fish developed a continuum damage mechanics‐based dual‐purpose model to simultaneously describe delamination as well as ply failure.…”

Section: Introductionmentioning

confidence: 99%

“…Generally speaking, these methods can be grouped into 2 families: linear elastic fracture mechanics (LEFM) approaches [1][2][3][4][5][6][7][8][9] and cohesive zone models. [10][11][12][13][14][15][16][17][18][19][20][21][22] Recently, Yuan and Fish 23 developed a continuum damage mechanics-based dual-purpose model to simultaneously describe delamination as well as ply failure. However, since the main scope of this contribution lies within the framework of LEFM analysis of interface cracks in isotropic bimaterials, only developments in this category of methods will be reviewed hereinafter.…”

Section: Introductionmentioning

confidence: 99%

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Material‐dependent crack‐tip enrichment functions in XFEM for modeling interfacial cracks in bimaterials

Wang

Waisman

2017

Numerical Meth Engineering

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Summary A novel set of enrichment functions within the framework of the extended finite element method is proposed for linear elastic fracture analysis of interface cracks in bimaterials. The motivation for the new enrichment set stems from the revelation that the accuracy and conditioning of the widely accepted 12‐fold bimaterial enrichment functions significantly deteriorates with the increase in material mismatch. To this end, we propose an 8‐fold material‐dependent enrichment set, derived from the analytical asymptotic displacement field, that well captures the near‐tip oscillating singular fields of interface cracks, including the transition to weak discontinuities of bimaterials. The performance of the proposed material‐dependent enrichment functions is studied on 2 benchmark examples. Comparisons are made with the 12‐fold bimaterial enrichment as well as the classical 4‐fold homogeneous branch functions, which have also been used for bimaterials. The numerical studies clearly demonstrate the superiority of the new enrichment functions, which yield the most accurate results but with less number of degrees of freedom and significantly improved conditioning than the 12‐fold functions.

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Section: Conditioning: 8-fold Vs 12-fold Enrichment Functionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Material‐dependent crack‐tip enrichment functions in XFEM for modeling interfacial cracks in bimaterials

Wang

Waisman

2017

Numerical Meth Engineering

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“…Critical region for ensuring load-carrying capacity and other remarkable characteristics of nanoenhanced materials is the interphase between the matrix and the nanocomposite [14]. For this reason, various models have been developed that simulate the inner interaction of the final material's ingredients [15][16][17].…”

Section: Introductionmentioning

confidence: 99%

Monitoring the Hydration Process in Carbon Nanotube Reinforced Cement-Based Composites Using Nonlinear Elastic Waves

Tragazikis¹,

Kordatou²,

Exarchos³

et al. 2021

Applied Sciences

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There is currently an increased need for associating construction material properties and behavior with the nature of their microstructure. One of the major issues in this context is the need for understanding the curing process in freshly poured cement-based materials. This is particularly important when nanoreinforcement materials, such as carbon nanotubes, are used to enhance the mechanical behavior and multifunctionality of the final structure. The solidification point, at which the state of liquid suspension transmutes to the solid state, is of particular interest since it greatly influences the load-bearing capacity of the cement-based material and its structural behavior at the long term. The main purpose of the present work is to develop a reliable method for monitoring the hydration process during the early stages of freshly poured cementitious composites enhanced with carbon nanotubes. This methodology is based on the use of nonlinear elastic waves. To achieve this goal, a combination of contact ultrasonics with noncontact optical detection was used. The detection method for evaluating the setting process is based on the assessment of higher-harmonic amplitudes of an ultrasonic wave, with a given frequency, propagating through the cementitious material. It was observed that the material nonlinearity changes significantly during the hardening process, compared to velocity or attenuation measurements which are based on linear acoustics. These changes were more noticeable as the concentration of carbon nanotubes in the cement matrix increases, indicating that higher harmonics are more susceptible to minute microstructural changes.

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“…In order to analyze its mechanical properties, classical formulas were modified and new theories were proposed (Huang and Li, 2010b;Shafiei et al, 2016a;Shafiei et al, 2016b;Zhang, 2013;Thinh et al, 2016). However, with emerging new demands in manufacturing and engineering, most of the previous studies related to FGMs whose effective material properties only vary in the direction of thickness or length can't meet those needs and challenges very well (Nemat-Alla, 2003;Fan et al, 2013;Lü et al, 2009;Wang et al, 2016;Lei et al, 2016;Gupta et al, 2015;Thang and Nguyen-Thoi, 2016). Consequently, in recent years, more and more researchers have been studying structural components made of two or three-directional functionally graded materials and subjected to different types of functionally graded distribution (Şimşek, 2015;Hao and Wei, 2016;Lü et al, 2008;Nguyen et al, 2017;Pydah and Sabale, 2017;Nejad and Hadi, 2016a;Nejad and Hadi, 2016b;Nejad et al, 2016).…”

Section: Introductionmentioning

confidence: 99%

Free vibration analysis of nano-tubes consisted of functionally graded bi-semi-tubes by a two-steps perturbation method

Gao

Xiao

Zhu

2019

Lat. Am. j. solids struct.

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Free vibration of a bimaterial circular nano-tube is investigated. The tube is formed by bonding together a Si3N4/SUS304 functionally graded upper semi tube and a ZrO2/Ti-6Al-4V functionally graded lower semi tube. The material properties of the tube are assumed to vary along the radius according to power law with the power index of upper semi tube differing from that of lower semi tube. Based on non-local elasticity theory and Hamilton's principle, a refined beam model considering the effect of transverse shear deformation is used to derive the governing equations, then analytical solution is obtained by using a two-steps perturbation method. Our results were compared with the existing ones. The effects on tube's linear and non-linear frequency are analyzed of the factors, including small scale parameter, temperature, the double volume fraction indexes, slenderness ratio and different types of beam model. A new approach is suggested in this article to change the natural frequency of the tubes by adjusting constituent materials. In contrast to conventional approach, the new one can result in more accurate frequency control in the same dimensionless size of tubes.

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A multiscale modeling of CNT-reinforced cement composites

Cited by 28 publications

References 61 publications

Material‐dependent crack‐tip enrichment functions in XFEM for modeling interfacial cracks in bimaterials

Material‐dependent crack‐tip enrichment functions in XFEM for modeling interfacial cracks in bimaterials

Monitoring the Hydration Process in Carbon Nanotube Reinforced Cement-Based Composites Using Nonlinear Elastic Waves

Free vibration analysis of nano-tubes consisted of functionally graded bi-semi-tubes by a two-steps perturbation method

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