Probabilistic homogenization of hyper-elastic particulate composites with random interface

Sokołowski, Damian; Kamiński, Marcin

doi:10.1016/j.compstruct.2020.112118

Cited by 13 publications

(5 citation statements)

References 68 publications

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“…In his other work [8], he verified a numerical solution of a composite with an uncertain reinforcing particle radius with an analytical solution and studied an influence of an uncertain aspect ratio on the effective stiffness tensor of a composite. One may extend this model toward a hyper-elastic regime of the composite, where an uncertain hyper-elastic response of a homogeneous medium can be taken into account [115], which may be further extended toward the stochastic hyper-elastic response of composites with hysteresis [99] and with stochastic interface defects [281,282].…”

Section: Homogenization Methods and Effective Medium Responsementioning

confidence: 99%

Probabilistic Analysis of Composite Materials with Hyper-Elastic Components

Kamiński

Sokołowski

2022

Materials

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This work is a comprehensive literature overview in the area of probabilistic methods related to composite materials with components exhibiting hyper-elastic constitutive behavior. A practical area of potential applications is seen to be rubber, rubber-like, or even rubber-based heterogeneous media, which have a huge importance in civil, mechanical, environmental, and aerospace engineering. The overview proposed and related discussion starts with some general introductory remarks and a general overview of the theories and methods of hyper-elastic material with a special emphasis on the recent progress. Further, a detailed review of the current trends in probabilistic methods is provided, which is followed by a literature perspective on the theoretical, experimental, and numerical treatments of interphase composites. The most important part of this work is a discussion of the up-to-date methods and works that used the homogenization method and effective medium analysis. There is a specific focus on random composites with and without any interface defects, but the approaches recalled here may also serve as well in sensitivity analysis and optimization studies. This discussion may be especially helpful in all engineering analyses and models related to the reliability of elastomers, whose applicability range, which includes energy absorbers, automotive details, sportswear, and the elements of water supply networks, is still increasing, as well as areas where a stochastic response is the basis of some limit functions that are fundamental for such composites in structural health monitoring.

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Section: Homogenization Methods and Effective Medium Responsementioning

confidence: 99%

Probabilistic Analysis of Composite Materials with Hyper-Elastic Components

Kamiński

Sokołowski

2022

Materials

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“…In addition, the material properties of the SiCp/Al composite can be obtained according to the theory in Ref. [24]. The geometric dimension of the SiCp/Al composite basal plate is 150 mm × 50 mm × 4 mm.…”

Section: Methodsmentioning

confidence: 99%

Analysis and Optimization of the Machining Characteristics of High-Volume Content SiCp/Al Composite in Wire Electrical Discharge Machining

et al. 2021

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With the properties of high specific strength, small thermal expansion and good abrasive resistance, the particle-reinforced aluminum matrix composite is widely used in the fields of aerospace, automobile and electronic communications, etc. However, the cutting performance of the particle-reinforced aluminum matrix composite is very poor due to severe tool wear and low machining efficiency. Wire electrical discharge machining has been proven to be a good machining method for conductive material with any hardness. Even so, the high-volume SiCp/Al content composite is still a difficult-to-machine material in wire electrical discharge machining due to the influence of insulative the SiC particle. The goal of this paper is to analyze the machining characteristics and find the optimal process parameters for the high-volume content (65 vol.%) SiCp/Al composite in wire electrical discharge machining. Experimental results show that the material removal method of the SiCp/Al composite includes sublimating, decomposing and particle shedding. The material removal rate is found to increase with the increasing pulse-on time, first increasing and then decreasing with the increasing pulse-off time, servo voltage, wire feed and wire tension. Pulse-on time and servo voltage are the dominant factors for surface roughness. In addition, the multi-objective optimization method of the nondominated neighbor immune algorithm is presented to optimize the process parameters for a fast material removal rate and low surface roughness. The optimized process parameters can increase the material removal rate by 34% and reduce the surface roughness by 6%. Furthermore, the effectiveness of the Pareto optimal solution is proven by the verified experiment.

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“…[306][307][308][309][310][311][312][313][314][315] and [326] for homogeneous and to Refs. [316][317][318][319][320][321] and [323][324][325] for inhomogeneous interphases.…”

Section: Applied Mechanics Reviewsmentioning

confidence: 99%

Homogenization of Composites with Extended General interfaces: Comprehensive Review and Unified Modeling

Firooz

Steinmann

Javili

2021

Applied Mechanics Reviews

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Interphase regions that form in heterogeneous materials through various underlying mechanisms such as poor mechanical or chemical adherence, roughness, and coating, play a crucial role in the response of the medium. A well- established strategy to capture a finite-thickness interphase behavior is to replace it with a zero-thickness interface model characterized by its own displacement and/or traction jumps, resulting in different interface models. The contributions to date dealing with interfaces commonly assume that the interface is located in the middle of its corresponding interphase. We revisit this assumption and introduce a universal interface model, wherein a unifying approach to the homogenization of heterogeneous materials embedding interfaces between their constituents is developed. The proposed novel interface model is universal in the sense that it can recover any of the classical interface models. Next, via incorporating this universal interface model into homogenization, we develop bounds and estimates for the overall moduli of fiber-reinforced and particle-reinforced composites as functions of the interface position and properties. Furthermore, we elaborate on the computational implications of this interface model. Finally, we carry out a comprehensive numerical study to highlight the influence of interface position, stiffness ratio and interface parameters on the overall properties of composites, where an excellent agreement between the analytical and computational results is observed. The developed interface-enhanced homogenization framework also successfully captures size effects, which are immediately relevant to emerging applications of nano-composites due their pronounced interface effects at small scales.

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Probabilistic homogenization of hyper-elastic particulate composites with random interface

Cited by 13 publications

References 68 publications

Probabilistic Analysis of Composite Materials with Hyper-Elastic Components

Probabilistic Analysis of Composite Materials with Hyper-Elastic Components

Analysis and Optimization of the Machining Characteristics of High-Volume Content SiCp/Al Composite in Wire Electrical Discharge Machining

Homogenization of Composites with Extended General interfaces: Comprehensive Review and Unified Modeling

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