Optimization of Functionally Graded Structural Members by Means of New Effective Properties Estimation Method

Wiśniewska, Anna; Egner, Halina

doi:10.3390/ma12193139

Cited by 8 publications

(8 citation statements)

References 36 publications

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“…Additionally, the new method, proposed by Wiśniewska, was also used to predict the elastic modulus [ 53 , 54 ]. In this method, the composite is described as a multi-phase material, and the inclusions are randomly distributed and oriented.…”

Section: Resultsmentioning

confidence: 99%

Basalt/Glass Fiber Polypropylene Hybrid Composites: Mechanical Properties at Different Temperatures and under Cyclic Loading and Micromechanical Modelling

2021

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Basalt/glass fiber polypropylene hybrid composites were developed as subjects of investigation, with the aim to characterize their properties. An injection molding machine was used to produce the test samples. The following three different tests, at various specimen temperatures, were conducted: tensile test, three-point flexural test, and Charpy impact test. To determine fatigue behavior, the samples were uniaxially loaded and unloaded. Mechanical hysteresis loops were recorded and the dissipation energy of each loop was calculated. To determine the adhesion and dispersion between the fibers and the matrix, the fractured surfaces of the various specimens, after the tensile test, were investigated using a scanning electron microscope. The results show that the production of a composite with both basalt and glass fibers, in a polypropylene matrix with maleic anhydride-grafted polypropylene, can be successfully achieved. The addition of the two types of fibers increased the tensile strength by 306% and the tensile modulus by 333% for a composition, with 20% by weight, of fibers. The material properties were estimated with the help of a simulation software, and validated with a FEA. A satisfactory correlation between the simulation and measurement data was achieved. The error lays in a range of 2% between the maximum stress values. At a lower strain (up to 0.02), the stress values are very well matched.

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Section: Resultsmentioning

confidence: 99%

Basalt/Glass Fiber Polypropylene Hybrid Composites: Mechanical Properties at Different Temperatures and under Cyclic Loading and Micromechanical Modelling

2021

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“…The approach to predict the elastic properties of a hybrid composite presented in this research utilizes a concept of a fictitious quasi-homogeneous continuum [ 38 ], in which the inclusions are “smeared out” within a representative volume element (RVE). The hypothesis of equivalence between the fictitious quasi-homogeneous continuum and the real composite material configuration is then postulated.…”

Section: Introductionmentioning

confidence: 99%

“…The idea to apply such reasoning to the composite material properties estimation was started in the paper by Wiśniewska et al [ 42 ], where the basic concept of mapping between a real composite and a fictitious quasi-homogeneous configuration was formulated and used to estimate elastic properties of isotropic two-component composite materials. The approach was furtherly developed by Wiśniewska and Egner in [ 38 ]. Different forms of an inclusion-effect tensor were discussed in terms of its influence on the stress and strain states in a fictitious quasi-homogeneous configuration.…”

Section: Introductionmentioning

confidence: 99%

Energy Equivalence Based Estimation of Hybrid Composites Mechanical Properties

Wiśniewska

Egner

2023

Materials

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Hybrid composites, usually combining natural and synthetic reinforcing filaments, have gained a lot of attention due to their better properties than traditional two-component materials. For structural applications of hybrid composites, there is a need to precisely determine their mechanical properties on the basis of the mechanical properties, volume fractions, and geometrical distributions of constituent materials. The most common methods, such as the rule of mixture, are inaccurate. More advanced methods, giving better results in the case of classic composites, are difficult to apply in the case of several types of reinforcement. In the present research, a new estimation method is considered, which is simple and accurate. The approach is based on the definition of two configurations: the real, heterogeneous, multi-phase hybrid composite configuration, and the fictitious, quasi-homogeneous one, in which the inclusions are “smeared out” over a representative volume. A hypothesis of the internal strain energy equivalence between the two configurations is formulated. The effect of reinforcing inclusions on the mechanical properties of a matrix material is expressed by functions of constituent properties, their volume fractions, and geometrical distribution. The analytical formulas are derived for an isotropic case of a hybrid composite reinforced with randomly distributed particles. The validation of the proposed approach is performed by comparing the estimated hybrid composite properties with the results of other methods, and with experimental data available in the literature. It is shown that a very good agreement is obtained between experimentally measured hybrid composite properties and their predictions resulting from the proposed estimation method. The estimation errors are much lower than the errors of other methods.

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“…Эти оценки зависят от корреляционных функций, однако полный набор пространственных корреляционных функций, необходимых для вычисления эффективных свойств, как правило, не определен. Среди последних работ также можно выделить микромеханический подход, основанный на комбинировании тензора вкладов в жесткость материала и схем гомогенизации Мори-Танака и Максвелла [36]; новый метод определения макроскопических упругих констант композитов на основе гипотезы эквивалентности полной упругой энергии [37,38]; полуаналитическую модель описания представительного объема как ансамбля ячеек с различными свойствами и несовершенными границами раздела ячеек [39].…”

Section: Introductionunclassified

“…Рассмотрим малый, но конечный представительный объем dV , представляющий собой суперпозицию объемов, занятых отдельными компонентами. К представительному объему предъявляются два базовых требования [38]: вопервых, он должен содержать достаточное количество структурных элементов (включений), чтобы его увеличение не приводило к значимому изменению параметров интегрального механического отклика; вовторых, его размеры должны быть пренебрежимо малы в сравнении с размерами образца. В этом случае представительный объем dV можно приближенно рассматривать как материальную точку, и к нему применимы операции дифференцирования и интегрирования.…”

Section: Introductionunclassified

Лагранжев Формализм Для Анализа Акустических Свойств Двухфазных Композитных Материалов С Дефектными Межфазными Границами

Гриняев¹,

Чертова²,

Шилько³

2022

mkm

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Разработана новая механическая модель двухфазного композита, базирующаяся на построении функции Лагранжа и применении принципа наименьшего действия. Ключевое преимущество модели — прямой учет межфазного взаимодействия и наличия дефектов (несплошностей) на межфазных границах. В отличие от классических моделей непосредственным решением полученных уравнений данной модели являются значения скоростей упругих волн в композите, на основании которых далее могут быть определены эффективные упругие модули. На примере аналитического решения для 1D случая показаны качественно новые возможности, появляющиеся при использовании развитой модели для оценки акустических характеристик композитов и анализа влияния объемной доли фаз и поврежденности межфазных границ. Впервые теоретически показано, что помимо классических упругих волн с параметрами, с хорошей точностью оцениваемыми в рамках традиционных моделей, в композитных материалах с повреждениями на межфазных границах могут формироваться и устойчиво распространяться “медленные” упругие волны. Получены аналитические соотношения, позволяющие решать как прямую задачу определения скоростей “быстрых” и “медленных” упругих волн в композите с несовершенными межфазными границами, так и обратную задачу оценки поврежденности и объемных долей фаз по известным значениям скоростей упругих волн.

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Optimization of Functionally Graded Structural Members by Means of New Effective Properties Estimation Method

Cited by 8 publications

References 36 publications

Basalt/Glass Fiber Polypropylene Hybrid Composites: Mechanical Properties at Different Temperatures and under Cyclic Loading and Micromechanical Modelling

Basalt/Glass Fiber Polypropylene Hybrid Composites: Mechanical Properties at Different Temperatures and under Cyclic Loading and Micromechanical Modelling

Energy Equivalence Based Estimation of Hybrid Composites Mechanical Properties

Лагранжев Формализм Для Анализа Акустических Свойств Двухфазных Композитных Материалов С Дефектными Межфазными Границами

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