A new micromechanics approach to the application of Eshelby's equivalent inclusion method in three phase composites with shape memory polymer matrix

Jarali, Chetan S.; Madhusudan, M.; Vidyashankar, S.; Raja, S.

doi:10.1016/j.compositesb.2018.06.028

Cited by 19 publications

(5 citation statements)

References 35 publications

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“…In that equation, 𝐸 is the elastic modulus of the shape memory polyme matrix, I is the identity tensor, 𝑓 ,𝑓 , 𝐸 , 𝐸 ,𝑆 and 𝑆 the volume fractions of the fiber and carbon nanotube inclusions, the respective elastic moduli and the fourth order Eshelby tensors also for fiber and nanotube. With the novel proposal summarized above, Jarali et al [29] obtain a satisfactory comparison in relation to fundamental models such as the rule of mixture, for example, showing the consistency of the suggested model.…”

Section: 𝑓 𝛽𝛼 =𝐾 𝜋𝛼mentioning

confidence: 95%

“…Jarali et al [29] developed micromechanical modeling aimed at three-phase composites with shape memory polymer matrices. In this research, the authors extend Eshelby's method by considering two distinct inclusions immersed separately in a heterogeneous shape memory matrix.…”

Section: 𝑓 𝛽𝛼 =𝐾 𝜋𝛼mentioning

confidence: 99%

“…Equation ( 111) is obtained by the authors in [29] as a new dilute distribution relationship based on Eshelby's theory, which contemplates elastic properties of the composite when the representative volume element has two inclusions in a heterogeneous matrix. In that equation, 𝐸 is the elastic modulus of the shape memory polyme matrix, I is the identity tensor, 𝑓 ,𝑓 , 𝐸 , 𝐸 ,𝑆 and 𝑆 the volume fractions of the fiber and carbon nanotube inclusions, the respective elastic moduli and the fourth order Eshelby tensors also for fiber and nanotube.…”

Section: 𝑓 𝛽𝛼 =𝐾 𝜋𝛼mentioning

confidence: 99%

See 2 more Smart Citations

Micromechanics for Polymer Matrix Laminated Composites: A Literature Review of Fundamental Models, Advances and a Trend Analysis for Future Researches

Machado,

Lopes,

Simonassi

et al. 2024

Preprint

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Due to satisfactory mechanical properties, low specific weight and other advantages, a substantial utilization of laminated structural composites in many components and equipments of several industry sectors, especially in the past two decades, has been made. This class of materials has a good potential to be an important ally to support scientists and engineers with the main current world challenge: an energy transition process that must occur with sustainability, eco-friendly materials and based on an efficient reduction of greenhouse gas emissions. In this context, a microanalysis (scale length: 10μm to 1mm) of mechanical behavior that considers the multiphase characteristics, at leastwise a matrix and a reinforcement phase, of this kind of composites must be explored, i. e., a heterogeneous material is assumed to predict, for example, the effective tensors of stiffness or compliance by a homogenization process, modeling to damage analyses, studies about progressive delamination and other specific aspects of a composite can be previously investigated using micromechanical approaches. Therefore, the understanding of fundamental micromechanics as well as some advanced models are essential to apply these materials in structural industry components. In this sense, this systematic literature review is designed to investigate the main basic and advanced models of laminated composites micromechanics and using this overall study, have been developed, in the end, an analysis of research trends to the topic, in which, lines to future researches are indicated.

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Section: 𝑓 𝛽𝛼 =𝐾 𝜋𝛼mentioning

confidence: 95%

Section: 𝑓 𝛽𝛼 =𝐾 𝜋𝛼mentioning

confidence: 99%

Section: 𝑓 𝛽𝛼 =𝐾 𝜋𝛼mentioning

confidence: 99%

See 1 more Smart Citation

Micromechanics for Polymer Matrix Laminated Composites: A Literature Review of Fundamental Models, Advances and a Trend Analysis for Future Researches

Machado,

Lopes,

Simonassi

et al. 2024

Preprint

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“…By using EIM in the evaluation of effective properties of composites under different assumptions, various micromechanical models [5] have been proposed, such as the selfconsistent scheme [6] and Halpin-Tsai model [7] with the assumption of the same average strain/stress on the single inhomogeneity and matrix. In addition, the Mori-Tanaka [8] model and its modified versions [9] have been applied to investigate specific problems such as porous ceramics, elastoplasticity and shape memory alloy polymers [10][11][12], etc.…”

Section: Introductionmentioning

confidence: 99%

Effect of defects and reinforcements on the mechanical behaviour of a bi-layered panel

Zhang

Yin

2023

Proc. R. Soc. A.

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This paper investigates the mechanical behaviour of a bi-layered panel containing many particles in one layer and demonstrates the size effect of particles on the deflection. The inclusion-based boundary element method (iBEM) considers a fully bounded bi-material system. The fundamental solution for two-jointed half spaces has been used to acquire elastic fields resulting from source fields over inclusions and boundary-avoiding multi-domain integral along the interface. Eshelby’s equivalent inclusion method is used to simulate the material mismatch with a continuously distributed eigenstrain field over the equivalent inclusion. The eigenstrain is expanded at the centre of the inclusion, which provides tailorable accuracy based on the order of the polynomial of the eigenstrain. As a single-domain approach, the iBEM algorithm is particularly suitable for conducting virtual experiments of bi-layered composites with many defects or reinforcements for both local analysis and homogenization purposes. The maximum deflection of solar panel coupons is studied under uniform vertical loading merged with inhomogeneities of different material properties, dimensions and volume fractions. The size of defects or reinforcements plays a significant role in the deflection of the panel, even with the same volume fraction, as the substrate is relatively thin.

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“…The inclusion theory, as formulated in Eshelby’s work [ 46 ], has been widely used to predict composite materials’ overall properties. This approach commonly works with a single inclusion within a sparsely distributed framework in two-phase composites [ 47 ]. While versatile, the model assumes ellipsoidal inclusions, a representation that may not cover all practical scenarios.…”

Section: Introductionmentioning

confidence: 99%

Simulation of a Composite with a Polyhydroxybutyrate (PHB) Matrix Reinforced with Cylindrical Inclusions: Prediction of Mechanical Properties

Gómez-Gast,

Rivera-Santana,

Otero

et al. 2023

Polymers

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Biocomposite development, as a sustainable alternative to fossil-derived materials with diverse industrial applications, requires expediting the design process and reducing production costs. Simulation methods offer a solution to these challenges. The main aspects to consider in simulating composite materials successfully include accurately representing microstructure geometry, carefully selecting mesh elements, establishing appropriate boundary conditions representing system forces, utilizing an efficient numerical method to accelerate simulations, and incorporating statistical tools like experimental designs and re-regression models. This study proposes a comprehensive methodology encompassing these aspects. We present the simulation using a numerical homogenization technique based on FEM to analyze the mechanical behavior of a composite material of a polyhydroxybutyrate (PHB) biodegradable matrix reinforced with cylindrical inclusions of flax and kenab. Here, the representative volume element (RVE) considered the geometry, and the numerical homogenization method (NHM) calculated the macro-mechanical behavior of composites. The results were validated using the asymptotic homogenization method (AHM) and experimental data, with error estimations of 0.0019% and 7%, respectively. This model is valuable for predicting longitudinal and transverse elastic moduli, shear modulus, and Poisson’s coefficient, emphasizing its significance in composite materials research.

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A new micromechanics approach to the application of Eshelby's equivalent inclusion method in three phase composites with shape memory polymer matrix

Cited by 19 publications

References 35 publications

Micromechanics for Polymer Matrix Laminated Composites: A Literature Review of Fundamental Models, Advances and a Trend Analysis for Future Researches

Micromechanics for Polymer Matrix Laminated Composites: A Literature Review of Fundamental Models, Advances and a Trend Analysis for Future Researches

Effect of defects and reinforcements on the mechanical behaviour of a bi-layered panel

Simulation of a Composite with a Polyhydroxybutyrate (PHB) Matrix Reinforced with Cylindrical Inclusions: Prediction of Mechanical Properties

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