Effective elastic properties of a particulate composite with transversely-isotropic matrix

Иванова, Е. В.; Sevostianov, Igor

doi:10.1016/j.ijengsci.2015.05.006

Cited by 18 publications

(12 citation statements)

References 56 publications

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“…Estimation of eective elastic properties is quite common in the literature of mechanical sciences (Michel et al, 1999;Tang and Felicelli, 2015;Vilchevskaya and Sevostianov, 2015). A similar approach is followed to evaluate the eective material properties of dierent nano-structures having hexagonal congurations .…”

Section: Introductionmentioning

confidence: 99%

Effective in-plane elastic moduli of quasi-random spatially irregular hexagonal lattices

Mukhopadhyay

Adhikari

2017

International Journal of Engineering Science

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An analytical framework is developed for predicting the eective in-plane elastic moduli (longitudinal and transverse Young's modulus, Poisson's ratios and shear modulus) of irregular hexagonal lattices with generalized form of spatially random structural geometry. On the basis of a mechanics based bottom-up multi-step approach, computationally ecient closed-form formulae are derived in this article. As a special case when there is no irregularity, the derived analytical expressions reduce to the respective well known formulae of regular honeycombs available in literature. Previous analytical investigations include the derivation of eective in-plane elastic moduli for hexagonal lattices with spatially random variation of cell angles, which is a special case of the generalized form of irregularity in material and structural attributes considered in this paper. The present study also includes development of a highly generalized nite element code for obtaining equivalent elastic properties of random lattices, which is employed to validate the proposed analytical formulae. The statistical results of elastic moduli obtained using the developed analytical expressions and using direct nite element simulations are noticed to be in good agreement arming the accuracy and validity of the proposed analytical framework. All the in-plane elastic moduli are found to be signicantly inuenced by spatially random irregularity resulting in a decrease of the mean values for the two Young's moduli and two Poisson's ratios, while an increase of the mean value for the shear modulus.

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Section: Introductionmentioning

confidence: 99%

Effective in-plane elastic moduli of quasi-random spatially irregular hexagonal lattices

Mukhopadhyay

Adhikari

2017

International Journal of Engineering Science

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“…Besides, a comparison with Mogilevskaya et al (2014) for effective tetragonal elastic moduli of two phase fiber reinforced composite is done. Furthermore, a validation for the porous inclusion case with respect to Sevostianov (2014); Vilchevskaya and Sevostianov (2015) approaches is performed. The present model (PM) is compared with the approach reported in Selmi et al ( 2007) for the case of two phase nanocomposite.…”

Section: Analysis Of Numerical Resultsmentioning

confidence: 99%

“…The next study focus on numerical prediction of porous composites. Validation of PM with Maxwell approach reported by Sevostianov (2014) (as SMM), Vilchevskaya and Sevostianov (2015) (as Max. schem.)…”

Section: Porous Composite With Isotropic and Transversely Isotropic Matrixmentioning

confidence: 99%

Effective Elastic Properties Using Maxwell’s Approach for Transversely Isotropic Composites

Alfonso

Rodrı́guez-Ramos

Otero

et al. 2019

Advanced Structured Materials

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“…The approach of Maxwell was to remove a domain Ω from a composite material and insert it into the matrix, where its effect will invariably be described by either the sum of the compliance (or stiffness) contribution tensors of the inclusions, or by the compliance (or stiffness) contribution tensor of the entire domain, which is assumed to have unknown properties. By equating these quantities, it is possible, given the aforementioned assumptions of our system, to explicitly calculate the effective properties of Ω as our RVE, while accounting for the interactions between inhomogeneities (Sevostianov and Giraud, 2013; Sevostianov, 2014;Sevostianov et al, 2015;Vilchevskaya and Sevostianov, 2015). We follow the formulation of Sevostianov (2014), which has been successfully used to calculate the effective properties of cortical bone, another biomaterial with a complex microstructure (Vilchevskaya and Sevostianov, 2015).…”

mentioning

confidence: 99%

“…This crucial step enables us to approximate the effective properties of this two-phase composite, while simultaneously sidestepping two particular complications: potential numerical singularity during tensor inversion(Sevostianov, 2014), and the problem of explicitly calculating the effective properties of fibers embedded in a transversely isotropic matrix, where the fibers are aligned orthogonal to the axis of transverse isotropy(Saadat et al, 2012;Vilchevskaya and Sevostianov, 2015).…”

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confidence: 99%

A multilayer micromechanical model of the cuticle of Curculio longinasus Chittenden, 1927 (Coleoptera: Curculionidae)

Jansen

Singh

Chawla

et al. 2016

Journal of Structural Biology

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Curculio longinasus Chittenden, 1927 (Coleoptera: Curculionidae), is a weevil species common throughout the southwestern United States that uses its rostrum - a very slender, curved, beak-like projection of the head - to excavate tunnels in plant organs (such as acorns) for egg laying (oviposition). Once the apical portion of the rostrum has been inserted into the preferred substrate for oviposition, the female begins rotating around the perimeter of the hole, elevating her head by extending the fore-legs, and rotating the head in place in a drilling motion. This action causes significant elastic deformation of the rostrum, which will bend until it becomes completely straight. To better understand the mechanical behavior of the cuticle as it undergoes deformation during the preparation of oviposition sites, we develop a comprehensive micro/macro model of the micromechanical structure and properties of the cuticle, spanning across all cuticular regions, and reliably mirroring the resultant macroscale properties of the cuticle. Our modeling approach relies on the use of multi-scale, hierarchical biomaterial representation, and employs various micromechanical schemata - e.g., Mori-Tanaka, effective field, and Maxwell - to calculate the homogenized properties of representative volume elements at each level in the hierarchy. We describe the configuration and behavior of this model in detail, and discuss the theoretical implications and limitations of this approach with emphasis on future biomechanical and comparative evolutionary research. Our detailed account of this approach can thereby serve as a methodological template for exploring the biomechanical behavior of new insect structures.

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Effective elastic properties of a particulate composite with transversely-isotropic matrix

Cited by 18 publications

References 56 publications

Effective in-plane elastic moduli of quasi-random spatially irregular hexagonal lattices

Effective in-plane elastic moduli of quasi-random spatially irregular hexagonal lattices

Effective Elastic Properties Using Maxwell’s Approach for Transversely Isotropic Composites

A multilayer micromechanical model of the cuticle of Curculio longinasus Chittenden, 1927 (Coleoptera: Curculionidae)

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