Stochastic natural frequency analysis of damaged thin-walled laminated composite beams with uncertainty in micromechanical properties

Naskar, Susmita; Mukhopadhyay, T.; Sriramula, Srinivas; Adhikari, Sondipon

doi:10.1016/j.compstruct.2016.10.035

Cited by 93 publications

(32 citation statements)

References 46 publications

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“…Such development can help to bring about the much-needed impetus in the research of two-dimensional materials, which is often hindered due to the need for carrying out computationally expensive and time consuming simulations/ laboratory experiments and availability of interatomic potentials. Besides deterministic analysis of shear moduli, as presented in this paper, the efficient closed-form formulae could be an attractive option for carrying out uncertainty analysis [99][100][101][102][103][104] following a Monte Carlo simulation based approach.…”

Section: Elastic Moduli For Multi-layer Hexagonal Nano-heterostructuresmentioning

confidence: 99%

Probing the shear modulus of two-dimensional multiplanar nanostructures and heterostructures

et al. 2018

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Generalized high-fidelity closed-form formulae have been developed to predict the shear modulus of hexagonal graphene-like monolayer nanostructures and nano-heterostructures based on a physically insightful analytical approach. Hexagonal nano-structural forms (top view) are common for nanomaterials with monoplanar (such as graphene and hBN) and multiplanar (such as stanene and MoS) configurations. However, a single-layer nanomaterial may not possess a particular property adequately, or multiple desired properties simultaneously. Recently, a new trend has emerged to develop nano-heterostructures by assembling multiple monolayers of different nanostructures to achieve various tunable desired properties simultaneously. Shear modulus assumes an important role in characterizing the applicability of different two-dimensional nanomaterials and heterostructures in various nanoelectromechanical systems such as determining the resonance frequency of vibration modes involving torsion, wrinkling and rippling behavior of two-dimensional materials. We have developed mechanics-based closed-form formulae for the shear modulus of monolayer nanostructures and multi-layer nano-heterostructures. New results of shear modulus are presented for different classes of nanostructures (graphene, hBN, stanene and MoS) and nano-heterostructures (graphene-hBN, graphene-MoS, graphene-stanene and stanene-MoS), which are categorized on the basis of fundamental structural configurations. The numerical values of shear modulus are compared with the results from the scientific literature (as available) and separate molecular dynamics simulations, wherein a good agreement is noticed. The proposed analytical expressions will enable the scientific community to efficiently evaluate shear modulus of a wide range of nanostructures and nanoheterostructures.

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Section: Elastic Moduli For Multi-layer Hexagonal Nano-heterostructuresmentioning

confidence: 99%

Probing the shear modulus of two-dimensional multiplanar nanostructures and heterostructures

et al. 2018

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“…Researchers have studied the eect of cracks in solids on the global behaviour such as eective elastic moduli, vibration etc. (Kachanov, 1987(Kachanov, , 1992Naskar et al, 2017) . The inuence of such material anisotropy or defect in the form of multiple cracks on the eective elastic properties of solids are reported to be rather minimal.…”

Section: Summary and Perspectivementioning

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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“…An integrated method with a micromechanical model is used to perform the life cycle assessment [22]. In addition, micromechanical model is used to classify heterogeneous materials like composite [23,24]. Generally, many parameters influence the micromechanical properties of the composite such as fibre and matrix properties, fibre and matrix loading, size of the composite, fibre and matrix sources, interfacial adhesion between the fibre and matrix and orientation of the composite [25][26][27][28][29][30][31].…”

Section: Introductionmentioning

confidence: 99%

Material Selection of a Natural Fibre Reinforced Polymer Composites using an Analytical Approach

Muhammad¹,

Sapuan²,

Mastura³

et al. 2019

Journal of Renewable Materials

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Material selection has become a critical part of design for engineers, due to availability of diverse choice of materials that have similar properties and meet the product design specification. Implementation of statistical analysis alone makes it difficult to identify the ideal composition of the final composite. An integrated approach between statistical model and micromechanical model is desired. In this paper, resultant natural fibre and polymer matrix from previous study is used to estimate the mechanical properties such as density, Young's modulus and tensile strength. Four levels of fibre loading are used to compare the optimum natural fibre reinforced polymer composite (NFRPC). The result from this analytical approach revealed that kenaf/polystyrene (PS) with 40% fibre loading is the ideal composite in automotive component application. It was found that the ideal composite score is 1.156 g/cm 3 , 24.2 GPa and 413.4 MPa for density, Young's modulus and tensile strength, respectively. A suggestion to increase the properties on Young's modulus are also presented. This work proves that the statistical model is well incorporated with the analytical approach to choose the correct composite to use in automotive application.

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Stochastic natural frequency analysis of damaged thin-walled laminated composite beams with uncertainty in micromechanical properties

Cited by 93 publications

References 46 publications

Probing the shear modulus of two-dimensional multiplanar nanostructures and heterostructures

Probing the shear modulus of two-dimensional multiplanar nanostructures and heterostructures

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

Material Selection of a Natural Fibre Reinforced Polymer Composites using an Analytical Approach

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