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Journal articles on the topic 'Modified rule of mixtures'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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1

Xu, Miaomiao, Jie Xu, and Jie Shen. "Interpreting the Mechanical Behaviour of Carbonate Sand-Fine Mixtures Using the Modified Interfine Void Ratio." Applied Sciences 15, no. 4 (2025): 1874. https://doi.org/10.3390/app15041874.

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Understanding the mechanical behaviour of carbonate sand-fine mixtures is crucial for modelling geotechnical-related gas exploitation problems in potential gas hydrate reservoirs. This paper presents a laboratory investigation of the mechanical behaviour of carbonate sand-fine mixtures with a carbonate sand content of no more than 40%. By means of computer tomography, the internal porosity of carbonate sand grains was measured, and the interfine void ratio was modified. For carbonate sand-fine mixtures with a similar void ratio, all mixtures exhibited strain-softening behaviour, and the peak s

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Дворкін, Л. Й., and В. В. Житковський. "THE RULE OF CONSTANT CONCRETE MIXTURES WATER CONTENT AND ITS USING." Ресурсоекономні матеріали, конструкції, будівлі та споруди, no. 34 (September 15, 2018): 43–51. http://dx.doi.org/10.31713/budres.v0i34.193.

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The article proposed modified Т.Powers equation for cement systems. On the basis of this equation analytically substantiated rule of constant water content concrete mixtures used in the compositions design. Experimentally shown that within certain limits change the amount of cements does not showing any changes concrete mixtures viscosity and workability.

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Lee, C. S., and W. Hwang. "Modified rule of Mixtures for prediction of Tensile strength of Unidirectional Fibre Reinforced Composites." Advanced Composites Letters 6, no. 5 (1997): 096369359700600. http://dx.doi.org/10.1177/096369359700600504.

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The rule of mixtures was modified based on the concept of effective fibre volume fraction. The degradation parameter of effective fibre volume fraction was proposed in consideration of the microgeometry of composite components. It was shown that the modified rule has good agreement with the experimental strength data and the degradation parameter of effective fibre volume fraction used in this study can be used on general composites.

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4

Zare, Yasser, and Kyong Yop Rhee. "A multistep methodology for calculation of the tensile modulus in polymer/carbon nanotube nanocomposites above the percolation threshold based on the modified rule of mixtures." RSC Advances 8, no. 54 (2018): 30986–93. http://dx.doi.org/10.1039/c8ra04992k.

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A multistep model is proposed for calculating the tensile modulus values of polymer/carbon nanotube (CNT) nanocomposites (PCNTs) based on the modified rule of mixtures, assuming a percolated network of nanoparticles.

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He, L., L. F. Allard, and E. Ma. "Fe-Cu two-phase nanocomposites: application of a modified rule of mixtures." Scripta Materialia 42, no. 5 (2000): 517–23. http://dx.doi.org/10.1016/s1359-6462(99)00300-0.

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Sarkar, B. K. "Estimation of composite strength by a modified rule of mixtures incorporating defects." Bulletin of Materials Science 21, no. 4 (1998): 329–33. http://dx.doi.org/10.1007/bf02744962.

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Valderrama, Jos� O., and Victor H. Alvarez. "Phase equilibrium in supercritical CO2 mixtures using a modified Kwak-Mansoori mixing rule." AIChE Journal 50, no. 2 (2004): 480–88. http://dx.doi.org/10.1002/aic.10042.

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8

Magomedov, G. M., G. V. Kozlov, and I. V. Dolbin. "The structural variant of the mixtures rule for nanocomposites polymer/2D-nanofiller." Izvestiya vysshikh uchebnykh zavedenii. Fizika, no. 7 (2021): 61–64. http://dx.doi.org/10.17223/00213411/64/7/61.

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The possibility of correct application of modified mixtures rule for description of elastic modulus of polymer nanocomposites has been shown. It has been found that aggregation degree of 2D-nanofiller (graphene oxide), characterized by number of its platelets per one aggregate (tactoid), is one factor, defining elastic modulus of these nanomaterials at fixed content of nanofiller and polymer matrix. The quality of 2D-nanofiller functionalization is defined by its ability to enhance interactions polymer matrix-nanofiller and to not change (or reduce) interactions between nanofiller platelets.

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Wang, Jinmei, Jin Yang, Wenqi Wang, et al. "Research on Factors Affecting Asphalt Mixtures’ Resistance to High-Frequency Freeze-Thaw in Plateau Areas." Materials 18, no. 3 (2025): 640. https://doi.org/10.3390/ma18030640.

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Aiming at the problem that asphalt pavement materials in plateau areas are vulnerable to freeze-thaw damage, research was carried out on asphalt pavements of representative road sections, and the temperature within the pavement structure was monitored using buried sensors. Based on this, an indoor test method for high-frequency freeze-thaw was established, and UV, thermo-oxygen-aging and high-frequency freeze-thaw tests were combined. The effects of aging and maximum aggregate particle size on the resistance of asphalt mixtures to high-frequency freeze-thaw were investigated using the splittin

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Tarrés, Oliver-Ortega, Espinach, Mutjé, Delgado-Aguilar, and Méndez. "Determination of Mean Intrinsic Flexural Strength and Coupling Factor of Natural Fiber Reinforcement in Polylactic Acid Biocomposites." Polymers 11, no. 11 (2019): 1736. http://dx.doi.org/10.3390/polym11111736.

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This paper is focused on the flexural properties of bleached kraft softwood fibers, bio-based, biodegradable, and a globally available reinforcement commonly used in papermaking, of reinforced polylactic acid (PLA) composites. The matrix, polylactic acid, is also a bio-based and biodegradable polymer. Flexural properties of composites incorporating percentages of reinforcement ranging from 15 to 30 wt % were measured and discussed. Another objective was to evaluate the strength of the interface between the matrix and the reinforcements, using the rule of mixtures to determine the coupling fact

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11

Xu, Hailong, Xueshan Hua, Yan Cao, et al. "Study on the Characterization of Physical, Mechanical, and Creep Properties of Masson Pine and Chinese Fir Wood Flour-Reinforced High-Density Polyethylene Composites." Polymers 16, no. 24 (2024): 3507. https://doi.org/10.3390/polym16243507.

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Improving the physical, mechanical, and creep properties of wood fiber-reinforced polymer composites is crucial for broadening their application prospect. In this research, seven types of high-density polyethylene (HDPE) composites reinforced with different mass ratios of Masson pine (Pinus massoniana Lamb.) and Chinese fir [Cunninghamia lanceolata (Lamb.) Hook.] were prepared by a two-step extrusion molding method. The mass ratios of the two fibers were 60:0, 50:10, 40:20, 30:30, 20:40, 10:50, and 0:60, respectively. The surface color, density, dimension stability, bending, tensile, impact pr

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Errabolu, R. L., C. M. Sehgal, and J. F. Greenleaf. "Dependence of Ultrasonic Nonlinear Parameter B/A on Fat." Ultrasonic Imaging 9, no. 3 (1987): 180–94. http://dx.doi.org/10.1177/016173468700900304.

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This study deals with the relationship between the magnitude of acoustic nonlinearity, sound speed of tissues and the amount of fat present in them. A two-component model, i.e., nonfat and fat, has been assumed and equations that relate the nonlinear parameter (B/A) of a medium to the properties of its components have been derived for two cases. In the first case, the density and sound speed are the same for the two components; B/A is a linear function of fat concentration. To represent this case, mixtures of egg white and yolk were studied. Even though the differences in density and sound spe

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Nourozieh, Hossein, Ehsan Ranjbar, Anjani Kumar, Kevin Forrester, and Mohsen Sadeghi. "Nonlinear Double-Log Mixing Rule for Viscosity Calculation of Bitumen/Solvent Mixtures Applicable for Reservoir Simulation of Solvent-Based Recovery Processes." SPE Journal 25, no. 05 (2020): 2648–62. http://dx.doi.org/10.2118/203823-pa.

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Summary Various solvent-based recovery processes for bitumen and heavy-oil reservoirs have gained much interest in recent years. In these processes, viscosity reduction is attained not only because of thermal effects, but also by dilution of bitumen with a solvent. Accurate characterization of the oil/solvent-mixture viscosity is critical for accurate prediction of recovery and effectiveness of such processes. There are varieties of models designed to predict and correlate the mixture viscosities. Among them, the linear log mixing (Arrhenius) model is the most commonly used method in the oil i

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Rangaraj, S. S., and S. B. Bhaduri. "A modified rule-of-mixtures for prediction of tensile strengths of unidirectional fibre-reinforced composite materials." Journal of Materials Science 29, no. 10 (1994): 2795–800. http://dx.doi.org/10.1007/bf00356835.

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Xia, Quanping, Jiangping Gao, Qigong Zhang, et al. "Study of Decay Mechanisms and Rules of Recycled Asphalt Pavement via a Full-Scale Experiment." Coatings 13, no. 11 (2023): 1955. http://dx.doi.org/10.3390/coatings13111955.

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Under the influence of long-term vehicle loads and large attenuation degrees, asphalt pavement performance gradually decreases, which leads to failure in fulfilling the appropriate requirements and, in turn, may affect driving safety. The purpose of this paper was to study the attenuation mechanism and rule of styrene–butadiene–styrene (SBS)-modified recycled asphalt pavement, so as to determine the applicable position and rational utilization of recycled asphalt mixture. To achieve this goal, two structures were designed, and full-scale experiments were carried out. The performance of the fie

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16

Hine, Peter, Bushra Parveen, Dave Brands, and Fin Caton-Rose. "Validation of the modified rule of mixtures using a combination of fibre orientation and fibre length measurements." Composites Part A: Applied Science and Manufacturing 64 (September 2014): 70–78. http://dx.doi.org/10.1016/j.compositesa.2014.04.017.

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Stelmaszczyk, Kamil, Ewelina Karpierz-Marczewska, Valeri Mikhnev, Grzegorz Cywinski, Thomas Skotnicki, and Wojciech Knap. "Ultrafast Time-of-Flight Method of Gasoline Contamination Detection Down to ppm Levels by Means of Terahertz Time-Domain Spectroscopy." Applied Sciences 12, no. 3 (2022): 1629. http://dx.doi.org/10.3390/app12031629.

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In this article, we present the possibility of using terahertz time-domain spectroscopy to detect trace, ppm-level (%wt.) concentrations of admixtures in 95-octane lead-free gasoline in straightforward time-of-flight (pulse-delay) measurements performed directly in the liquid. The method was tested on samples containing 75–0.0125% of isopropanol and 0.3–0.0250% of water. The detection limits for isopropanol and water content were determined to be 125 ppm and 250 ppm, respectively, approaching the limits of much more complicated and time-consuming methods (like spectroscopy of the vapor phase).

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18

Nguyen, Phan Quoc Khang, Nima Zohdi, Patrick Kamlade, and Richard (Chunhui) Yang. "Predicting Material Properties of Additively Manufactured Acrylonitrile Butadiene Styrene via a Multiscale Analysis Process." Polymers 14, no. 20 (2022): 4310. http://dx.doi.org/10.3390/polym14204310.

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Additive manufacturing (AM) has inherent mechanical strength inconsistencies when the build orientation changes. To address this issue, theoretical models, including analytical and numerical models, can be developed to predict the material properties of additively manufactured materials. This study develops a systematic finite element (FE)-based multiscale numerical model and simulation process for the polymer acrylonitrile butadiene styrene (ABS). ABS samples are fabricated using fused deposition modelling (FDM) to determine the material properties and mechanical behaviours. For macroscale an

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19

Sun, Wenbin, Ying Luo, and Huasheng Sun. "Experimental Studies on the Elastic Properties of Carbon Fiber Reinforced Polymer Composites Prefabricated of Unidirectional Carbon Fiber Fabrics and a Modified Rule of Mixtures in the Parallel Direction." Advanced Composites Letters 27, no. 1 (2018): 096369351802700. http://dx.doi.org/10.1177/096369351802700104.

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Carbon fiber (CF) fabrics can be installed manually onto the surfaces of existing structural members to establish a carbon fiber reinforced polymer (CFRP) reinforcemenet system, even in areas of limited access. Actual mechanical properties, such as the ultimate tensile strength (UTS), elastic modulus (EM), and ultimate rupture strain (URS), are essential for application in engineering practice and theoretical analysis of CFRP strengthening system. In this study, 16 CFRP strips were prefabricated of unidirectional CF sheet by a wet lay-up technique, and were tested to evaluate their elastic par

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20

Bobaru, Florin. "Designing Optimal Volume Fractions For Functionally Graded Materials With Temperature-Dependent Material Properties." Journal of Applied Mechanics 74, no. 5 (2006): 861–74. http://dx.doi.org/10.1115/1.2712231.

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We present a numerical approach for material optimization of metal-ceramic functionally graded materials (FGMs) with temperature-dependent material properties. We solve the non-linear heterogeneous thermoelasticity equations in 2D under plane strain conditions and consider examples in which the material composition varies along the radial direction of a hollow cylinder under thermomechanical loading. A space of shape-preserving splines is used to search for the optimal volume fraction function which minimizes stresses or minimizes mass under stress constraints. The control points (design varia

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21

Semenov, Vyacheslav. "Properties of lightweight dry masonry mixtures for winter conditions." E3S Web of Conferences 135 (2019): 03026. http://dx.doi.org/10.1051/e3sconf/201913503026.

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The construction of building envelopes using effective small-piece elements requires the use of lightweight masonry mortars, obtained, as a rule, from dry mixtures. One of the most effective ways to obtain such mortars is the introduction of hollow ceramic microspheres into their composition as a lightweight filler. For the climatic conditions of the Russian Federation, it is relevant to use dry masonry mixtures in the winter version, which gain strength at negative temperatures. The main purpose of this work was the development of optimal compositions of modified dry masonry mixes with hollow

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22

Whittenberger, J. Daniel, Beverly Aikin, and Jon Salem. "Creep and toughness of cryomilled NiAl containing Cr." Journal of Materials Research 16, no. 5 (2001): 1333–44. http://dx.doi.org/10.1557/jmr.2001.0186.

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NiAl–AlN + Cr composites were produced by blending cryomilled NiAl powder with approximately 10 vol% Cr flakes. In comparison to the as-consolidated matrices, hot isostatically pressed Cr-modified materials did not demonstrate any significant improvement in toughness. Hot extruded NiAl–AlN + 10.5Cr, however, possessed a toughness twice that determined for the base NiAl–AlN alloy. Measurement of the 1200 to 1400 K plastic flow properties revealed that the strength of the composites was completely controlled by the properties of the NiAl–AlN matrices. This behavior could be successfully modeled

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23

Luo, Zirong, Xin Li, Jianzhong Shang, Hong Zhu, and Delei Fang. "Modified rule of mixtures and Halpin–Tsai model for prediction of tensile strength of micron-sized reinforced composites and Young’s modulus of multiscale reinforced composites for direct extrusion fabrication." Advances in Mechanical Engineering 10, no. 7 (2018): 168781401878528. http://dx.doi.org/10.1177/1687814018785286.

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A modified rule of mixtures is required to account for the experimentally observed nonlinear variation of tensile strength. A modified Halpin–Tsai model was presented to predict the Young’s modulus of multiscale reinforced composites with both micron-sized and nano-sized reinforcements. In the composites, both micron-sized fillers—carbon fibers—and nano-sized fillers—rubber nanoparticles and carbon nanotubes—are added into the epoxy resin matrix. Carbon fibers can help epoxy resins increase both the tensile strength and Young’s modulus, while rubber nanoparticles and carbon nanotubes can impro

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24

Chen, Zehua, and Daoyong (Tony) Yang. "A Tangent-Line Approach for Effective Density Used in the Ideal Mixing Rule: Part II—Evaluation of Mixing Characteristics of Oil/Gas Systems and Application Criteria." SPE Journal 25, no. 06 (2020): 3160–85. http://dx.doi.org/10.2118/200490-pa.

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Summary Although in Part I of this study (Chen and Yang 2020) we developed a tangent-line approach for effective density that is more general, robust, and flexible than the methods proposed by Saryazdi (2012) and Saryazdi et al. (2013), its application is only limited to heavy-oil/bitumen-associated mixtures [i.e., specifically, it has only been applied to bitumen-rich liquid phase (denoted as L2)]. As indicated in Part I, the density of nitrogen (N2)/hydrocarbon mixtures cannot be accurately predicted by using the ideal mixing rule (IM) with either real density or effective density. Not only

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Tan, Changsheng, Qiaoyan Sun, Lin Xiao, Yongqing Zhao та Jun Sun. "Slip transmission behavior across α/β interface and strength prediction with a modified rule of mixtures in TC21 titanium alloy". Journal of Alloys and Compounds 724 (листопад 2017): 112–20. http://dx.doi.org/10.1016/j.jallcom.2017.07.002.

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Molaabasi, Fatemeh, Yasser Zare, and Kyong Yop Rhee. "Simple models for tensile modulus of shape memory polymer nanocomposites at ambient temperature." Nanotechnology Reviews 11, no. 1 (2022): 874–82. http://dx.doi.org/10.1515/ntrev-2022-0053.

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Abstract This article analyzes the tensile modulus of shape memory polymer nanocomposites (SMPNs) at ambient temperature. Several conventional models, such as rule of mixtures, Halpin–Tsai and Kerner–Nielsen, cannot practically estimate the modulus due to the absence of some main parameters for nanocomposites. Additionally, some parameters in Kerner–Nielsen and Sato–Furukawa models are useless and ineffective, due to the small concentration and high modulus of nanofillers in SMPNs. Therefore, Kerner–Nielsen and Sato–Furukawa models are simplified and modified to deliver the simple models for c

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Li, C., X. J. Shi, X. H. Tuo, Y. M. Gong, and J. Guo. "Study on the Relationship between the Bonding Surface and Mechanical Properties of PLA/Epoxy Laminated Composites." International Polymer Processing 36, no. 4 (2021): 410–16. http://dx.doi.org/10.1515/ipp-2020-4029.

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Abstract Rule of mixtures (RoMs) of composite materials is continuously modified according to different component materials and their composition forms to play the role of theoretical verification and evaluation. This paper studied the regular relationship between the bonding surface and mechanical performance of the composites. The three bonding surface designs were made into PLA/EP test samples by 3D printing technology. The tensile and bending properties of the composite materials were proved to be stronger than the average of those of their component materials. The mechanical properties sh

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Wei, Na, Ying-Feng Meng, Gao Li, et al. "Cuttings-carried theory and erosion rule in gas drilling horizontal well." Thermal Science 18, no. 5 (2014): 1695–98. http://dx.doi.org/10.2298/tsci1405695w.

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In gas horizontal drilling, the gas with cuttings will go through the annulus at high speed which will lead strong erosion to the drill tools. This paper proposes a cuttings-carried theory and modified the critical cuttings-carried model for the gas-solid flow. Meanwhile, the erosive energy is obtained through simulating the gas-solid mixture in different conditions. The study result has positive significance on the determination of reasonable injection volume by optimizing construction parameters of horizontal well in gas drilling.

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Madan, Royal, Shubhankar Bhowmick, and Kashi Nath Saha. "Stress and deformation of functionally graded rotating disk based on modified rule of mixture." Materials Today: Proceedings 5, no. 9 (2018): 17778–85. http://dx.doi.org/10.1016/j.matpr.2018.06.102.

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DONG, C. "A modified rule of mixture for the vacuum-assisted resin transfer moulding process simulation." Composites Science and Technology 68, no. 9 (2008): 2125–33. http://dx.doi.org/10.1016/j.compscitech.2008.03.019.

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Raabe, Dierk, and Ude Hangen. "Introduction of a modified linear rule of mixtures for the modelling of the yield strength of heavily wire drawn in situ composites." Composites Science and Technology 55, no. 1 (1995): 57–61. http://dx.doi.org/10.1016/0266-3538(95)00094-1.

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Lambri, F. D., F. G. Bonifacich, O. A. Lambri, et al. "Modified rule of mixtures and Halpin-Tsai models applied to PCL/NiMnInCo 4D printed composites. Internal stresses study during the martensitic transformation." Composites Science and Technology 265 (May 2025): 111153. https://doi.org/10.1016/j.compscitech.2025.111153.

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Zhang, Xiaoliang, Ben Zhang, Huaxin Chen, and Dongliang Kuang. "Feasibility Evaluation of Preparing Asphalt Mixture with Low-Grade Aggregate, Rubber Asphalt and Desulphurization Gypsum Residues." Materials 11, no. 8 (2018): 1481. http://dx.doi.org/10.3390/ma11081481.

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Road construction consumes great amounts of high-grade natural resources. Using low-grade natural rocks or some solid wastes as substitute materials is a hot topic. Considering this, the feasibility of using low-grade granite aggregate, solid waste-based filler (desulphurization gypsum residues, DGR) and binder (waste tire rubber modified asphalt, RMA) simultaneously in asphalt mixtures has been fully investigated in this research. The commonly used base asphalt and limestone powder (LP) filler were control groups. Material characteristics of raw materials mainly including micro-morphology, fu

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Wu, Chih-Ping, and Wei-Chen Li. "Quasi-3D Stability and Vibration Analyses of Sandwich Piezoelectric Plates with an Embedded CNT-Reinforced Composite Core." International Journal of Structural Stability and Dynamics 16, no. 02 (2016): 1450097. http://dx.doi.org/10.1142/s0219455414500977.

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Quasi-three-dimensional (3D) stability and free vibration analyses of bi-axially loaded, simply-supported, sandwich piezoelectric plates with an embedded either a functionally graded (FG) carbon nanotube-reinforced composite (CNTRC) core or a multilayered fiber-reinforced composite (FRC) one are presented. Three different distributions of carbon nanotubes (CNTs) through the thickness of the CNTRC core, i.e. uniformly distributed and FG V-, rhombus- and X-type variations, are considered, and the effective material properties of the CNTRC core are estimated using the rule of mixtures. The Pagano

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Zhao, Shuo, Xiaoping Chen, Yuting Yang, and Dengsong Huang. "Effects of Viscosity Law on High-Temperature Supersonic Turbulent Channel Flow for Chemical Equilibrium." Processes 12, no. 2 (2024): 256. http://dx.doi.org/10.3390/pr12020256.

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Direct numerical simulations of temporally evolving high-temperature supersonic turbulent channel flow for chemical equilibrium were conducted with a Mach number of 3.0, a Reynolds number of 4880, and a wall temperature of 1733.2 K to investigate the influence of the viscosity law. The mean and fluctuating viscosity for the mixture rule is higher than that for Sutherland’s law, whereas an opposite trend is observed in the mean temperature, mean pressure, and dissociation degree. The Trettel and Larsson transformed mean velocity, the Reynolds shear stress, the turbulent kinetic energy budget, a

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Tahouneh, Vahid. "An Elasticity Solution for Vibration Analysis of Laminated Plates with Functionally Graded Core Reinforced by Multi-walled Carbon Nanotubes." Periodica Polytechnica Mechanical Engineering 61, no. 4 (2017): 309. http://dx.doi.org/10.3311/ppme.11254.

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In the present work, vibration characteristics of functionally graded (FG) sandwich rectangular plates reinforced by multiwalled carbon nanotubes (MWCNTs) resting on Pasternak foundation are presented. The response of the elastic medium is formulated by the Winkler/Pasternak model. Modified Halpin-Tsai equation is used to evaluate the Young’s modulus of the MWCNT/epoxy composite samples by the incorporation of an orientation as well as an exponential shape factor in the equation. The mass density and Poisson’s ratio of the MWCNT/phenolic composite are considered based on the rule of mixtures.

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Liu, Dongying, Jing Sun, and Linhua Lan. "Elasticity Solutions for In-Plane Free Vibration of FG-GPLRC Circular Arches with Various End Conditions." Applied Sciences 10, no. 14 (2020): 4695. http://dx.doi.org/10.3390/app10144695.

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In-plane free vibration of functionally graded graphene platelets reinforced nanocomposites (FG-GPLRCs) circular arches is investigated by using the two-dimensional theory of elasticity. The graphene platelets (GPLs) are dispersed along the thickness direction non-uniformly, and the material properties of the nanocomposites are evaluated by the modified Halpin-Tsai multi-scaled model and the rule of mixtures. A state-space method combined with differential quadrature technique is employed to derive the governing equation for in-plane free vibration of FG-GPLRCs circular arch, the semi-analytic

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Georgantzinos, Stelios K., Panagiotis A. Antoniou, Georgios I. Giannopoulos, Antonios Fatsis, and Stylianos I. Markolefas. "Design of Laminated Composite Plates with Carbon Nanotube Inclusions against Buckling: Waviness and Agglomeration Effects." Nanomaterials 11, no. 9 (2021): 2261. http://dx.doi.org/10.3390/nano11092261.

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In the present study, a buckling analysis of laminated composite rectangular plates reinforced with multiwalled carbon nanotube (MWCNT) inclusions is carried out using the finite element method (FEM). The rule of mixtures and the Halpin–Tsai model are employed to calculate the elastic modulus of the nanocomposite matrix. The effects of three critical factors, including random dispersion, waviness, and agglomeration of MWCNTs in the polymer matrix, on the material properties of the nanocomposite are analyzed. Then, the critical buckling loads of the composite plates are numerically determined f

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Hangen, U., and D. Raabe. "Modelling of the yield strength of a heavily wire drawn Cu-20%Nb composite by use of a modified linear rule of mixtures." Acta Metallurgica et Materialia 43, no. 11 (1995): 4075–82. http://dx.doi.org/10.1016/0956-7151(95)00079-b.

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Ansari, Reza, Saeed Rouhi, and Mohsen Eghbalian. "On the elastic properties of curved carbon nanotubes/polymer nanocomposites: A modified rule of mixture." Journal of Reinforced Plastics and Composites 36, no. 14 (2017): 991–1008. http://dx.doi.org/10.1177/0731684417699075.

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Stupen, Nonna S., Alexandr V. Kaklyugin, Luybov I. Kastornykh, and Viktor V. Kovalenko. "Using a magnesia binder to improve the airproof performance of molded composites." Vestnik MGSU, no. 2 (February 2021): 176–85. http://dx.doi.org/10.22227/1997-0935.2021.2.176-185.

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Introduction. Water resistance is one of durability criteria of building materials. As a rule, the value of the liquefaction ratio is applied to assess the water resistance. However, even water resistant materials are not always able to withstand cyclical weather impacts that cause linear deformations, reduced strength and cause destruction of building products. Therefore, it is necessary to take into account the resistance of building materials, namely, their resistance to alternating humidification and drying (airproof performance). The purpose of this research is to study the producibility

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Raghunandan, Abhijay B., Dundesh S. Chiniwar, Shivashankar Hiremath, Pavankumar Sondar, and H. M. Vishwanatha. "Modelling and Comparative Analysis of Epoxy-Fly-Ash Composite with Alloys for Bracket Application." Journal of Composites Science 6, no. 12 (2022): 358. http://dx.doi.org/10.3390/jcs6120358.

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The current study compares and analyses the fly-ash–epoxy composite structure with alloys for bracket applications. A dispersed reinforcement composite is created by combining epoxy and fly-ash. Three different prototypical brackets are modelled and analysed using the finite element method, and their results are compared to common alloys used in the manufacture of L-shaped brackets. The mechanical properties of the composite material are calculated using a rule of mixtures, and the properties of the composite material are modified by changing the percentage composition of fly-ash. Based on equ

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Payen de la Garanderie, Marie, Anaïs Hasenbohler, Nicolas Dechamp, et al. "Food additive mixtures and type 2 diabetes incidence: Results from the NutriNet-Santé prospective cohort." PLOS Medicine 22, no. 4 (2025): e1004570. https://doi.org/10.1371/journal.pmed.1004570.

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Background Mixtures of food additives are daily consumed worldwide by billions of people. So far, safety assessments have been performed substance by substance due to lack of data on the effect of multiexposure to combinations of additives. Our objective was to identify most common food additive mixtures, and investigate their associations with type 2 diabetes incidence in a large prospective cohort. Methods and Findings Participants (n = 108,643, mean follow-up = 7.7 years (standard deviation (SD) = 4.6), age = 42.5 years (SD = 14.6), 79.2% women) were adults from the French NutriNet-Santé co

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Rezaei Farimani, Mahdi, and Manijeh Mohadeszadeh. "Thermo-elastic bending analysis of FGM rotating plate with axial grading and modified rule of mixture." Journal of the Brazilian Society of Mechanical Sciences and Engineering 39, no. 1 (2016): 299–307. http://dx.doi.org/10.1007/s40430-016-0510-1.

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McLachlan, G. J., R. W. Bean, L. Ben-Tovim Jones, and J. X. Zhu. "Using mixture models to detect differentially expressed genes." Australian Journal of Experimental Agriculture 45, no. 8 (2005): 859. http://dx.doi.org/10.1071/ea05051.

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An important and common problem in microarray experiments is the detection of genes that are differentially expressed in a given number of classes. As this problem concerns the selection of significant genes from a large pool of candidate genes, it needs to be carried out within the framework of multiple hypothesis testing. In this paper, we focus on the use of mixture models to handle the multiplicity issue. With this approach, a measure of the local false discovery rate is provided for each gene, and it can be implemented so that the implied global false discovery rate is bounded as with the

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Aguado, Roberto J., Francesc X. Espinach, Fernando Julián, Quim Tarrés, Marc Delgado-Aguilar, and Pere Mutjé. "Tensile Strength of Poly(Lactic Acid)/Bleached Short Hemp Fiber Fully Green Composites as Replacement for Polypropylene/Glass Fiber." Polymers 15, no. 1 (2022): 146. http://dx.doi.org/10.3390/polym15010146.

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The compatibility between poly(lactic acid) (PLA) and natural fibers to develop bio-sourced, recyclable, and biodegradable composites remains a commonplace issue. This work highlights that, at least in the case of hemp, pulping and bleaching towards delignified short fibers attained remarkable improvements over untreated hemp strands. This approach differs from usual proposals of chemically modifying hydroxyl groups. Soda-bleached hemp fibers (SBHFs) granted a relatively large bonding surface area and a satisfactory quality of the interphase, even in the absence of any dispersant or compatibil

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Schmedding, Ryan, and Andreas Zuend. "The role of interfacial tension in the size-dependent phase separation of atmospheric aerosol particles." Atmospheric Chemistry and Physics 25, no. 1 (2025): 327–46. https://doi.org/10.5194/acp-25-327-2025.

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Abstract. Atmospheric aerosol particles span orders of magnitude in size. In ultrafine particles, the energetic contributions of surfaces and interfaces to the Gibbs energy become significant and increase in importance as particle diameter decreases. For these particles, the thermodynamic equilibrium state depends on size, composition, and temperature. Various aerosol systems have been observed to undergo liquid–liquid phase separation (LLPS), impacting equilibrium gas–particle partitioning, modifying physicochemical properties of the particle phases, and influencing cloud droplet activation.

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Wang, Yingyu, Zhiyi Wang, Jia Ma, Chao Luo, Guangqiang Fang, and Xiongqi Peng. "A 3D Anisotropic Thermomechanical Model for Thermally Induced Woven-Fabric-Reinforced Shape Memory Polymer Composites." Sensors 23, no. 14 (2023): 6455. http://dx.doi.org/10.3390/s23146455.

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Soft robotic grippers offer great advantages over traditional rigid grippers with respect to grabbing objects with irregular or fragile shapes. Shape memory polymer composites are widely used as actuators and holding elements in soft robotic grippers owing to their finite strain, high specific strength, and high driving force. In this paper, a general 3D anisotropic thermomechanical model for woven fabric-reinforced shape memory polymer composites (SMPCs) is proposed based on Helmholtz free energy decomposition and the second law of thermodynamics. Furthermore, the rule of mixtures is modified

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Forghani, Mohammad Amin, Ramin Abdellahi, Mohsen Esmaeili, Roohallah Alizadehsani, and Paweł Pławiak. "Modified Couple Stress Theory for nonlinear primary resonance of FG-GPLRC cylindrical shells in thermal environment." PLOS One 20, no. 6 (2025): e0323442. https://doi.org/10.1371/journal.pone.0323442.

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A modified couple stress theory (MCST)-based microshell model for functionally graded graphene platelets reinforced composite (FG-GPLRC) is proposed for the first time to investigate the nonlinear forced vibration behavior of reinforced microshells subjected to extreme temperatures. To achieve this, the effective elastic modulus is derived using the modified Halpin–Tsai model, while the rule of mixtures is applied for density, Poisson’s ratio, and thermal expansion coefficients. The first-order shear deformation theory (FSDT) and von Karman strains are considered, and nonlinear governing parti

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Peng, Xiang He, Min Mei Chen, and Jun Wang. "A Constitutive Model for Shape Memory Alloys Involving Transformation, Reorientation and Plasticity." Key Engineering Materials 535-536 (January 2013): 105–8. http://dx.doi.org/10.4028/www.scientific.net/kem.535-536.105.

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A constitutive model is developed for shape memory alloys (SMAs) based on the concept that an SMA is a mixture composed of austenite and martensite. The deformation of the martensite is separated into elastic, thermal, reorientation and plastic parts, and that of the austenite is separated into elastic, thermal and plastic parts. The volume fraction of each phase is determined with the modified Tanaka’s transformation rule. The typical constitutive behavior of some SMAs, including pseudoelasticity, shape memory effect, plastic deformation as well as its effects, is analyzed.

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