Adaptive multi-fidelity (AMF) modelling of progressive damage in notched composite laminates

Leong, K.H.; Zhi, Jie; Lee, H.P.; Tan, V.B.C.; Tay, T.E.

doi:10.1016/j.compositesa.2021.106790

Cited by 11 publications

(4 citation statements)

References 48 publications

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“…where the function δ ηα ( , , ) p is determined from (8). The following orientation angles corresponds to the given failure loading p p p p ( ) min m ax ≤ ≤ and ratio η = q p / :…”

Section: Research Results and Discussionmentioning

confidence: 99%

“…The proposed approach [7] expli citly represents damage as discrete cracks and leads to more accurate prediction of brittle and pushout failure patterns for sublaminatescaled and plyscaled laminates, respectively, including size and layup effects. In paper [8], an adaptive multifidelity (AMF) modelling approach is proposed, wherein TECHNOLOGY AUDIT AND PRODUCTION RESERVES -№ 5/1(67), 2022…”

Section: Introductionmentioning

confidence: 99%

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Reliability prediction of composite materials with random elastic inclusions

Kvit

2022

TAPR

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The object of the research is the construction of an algorithm that allows finding a number of strength (failure loading) statistical characteristics of a composite material plate under the conditions of a complex stress state. The relationships that determine the most probable value, mean value, dispersion and coefficient of variation of strength for an elastic homogeneous plate in which elliptical inclusions of another elastic material are uniformly distributed are written. Inclusions do not interact with each other and their geometric parameters are statistically independent random variables whose distribution laws are written for certain physical reasons. The combination of the known deterministic solution of the composite materials failure theory and probabilistic statistical methods that take into account the randomness of the material structure makes it possible to study the failure of composite materials taking into account the stochasticity of their structure. The main content of this article is the construction and analysis of the strength statistical characteristics algorithm of two-component lamellar composite materials. The mechanism of composite plate’s failure initiation in the inclusion is considered. The recorded relationships make it possible to calculate the most probable value, mean value, dispersion and coefficient of variation of strength and to investigate their dependence on the type of applied loading, structural heterogeneity of the composite and its dimensions (number of inclusions). The obtained results allow effective assessment of the reliability of stochastically defective two-component composite structural materials under complex stress conditions. This is due to the fact that the combined consideration of defectiveness and randomness in the composite material structure as interconnected, inseparable phenomena open new opportunities for researching of the strength problem and failure of composite materials under various types of applied loading.

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“…where the function δ ηα ( , , ) p is determined from (8). The following orientation angles corresponds to the given failure loading p p p p ( ) min m ax ≤ ≤ and ratio η = q p / :…”

Section: Research Results and Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Reliability prediction of composite materials with random elastic inclusions

Kvit

2022

TAPR

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“…The accuracy and efficiency of the proposed approach are demonstrated by the study of meta-model stability. In [8], adaptive multipoint modeling with actively damaged areas of composite materials using high-precision 3D brick elements and discrete cracks, while dormant and inactive areas are considered with lower values, is proposed. The criteria for the transition between the two levels of modeling were studied to ensure the efficiency of calculations.…”

Section: Introductionmentioning

confidence: 99%

A Probable Approach to Reliability Assessment of Reinforced Plates

Пукач

Kvit

Сало

et al. 2023

ASI

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A scheme for solving the problem of determining the probability of failure and probabilistic (statistical) characteristics of the failure loading magnitude of a composite material plate is considered. The plate structure is a flat homogeneous matrix with stochastically distributed rigid rod inclusions. The geometric parameters of inclusions are considered independent random variables with given probability distribution laws. The expressions for the failure loading distribution function, the probability of failure, the mean value, and the dispersion of the failure loading were received and presented. Their dependence on the type of stress state, the inclusion number, and matrix Poisson’s ratio were studied graphically.

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“…The effective orthotropic properties of the composite for various fibre-volume fractions have been numerically computed by the homogenisation method using periodic boundary conditions. In paper [8], an adaptive multi-fidelity modelling approach is proposed, wherein actively damaging areas are modelled with high-fidelity three-dimensional brick elements and discrete cracks, while dormant and inactive sites are modelled with lower-fidelity shell elements and smeared cracks. The transition criteria between the two levels of modelling are studied in order to preserve as much fidelity to the physics as necessary while improving computational efficiency.…”

Section: Introductionmentioning

confidence: 99%

Development of the statistical model failure of orthotropic composite materials

Kvit¹

2023

J. Appl. Math. Comput. Mech.

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A composite plate (matrix and reinforcing elements) under conditions of plane deformation is considered. According to the elastic properties, the material of the plate is considered orthotropic with uniformly distributed defects-cracks that do not interact with each other. The geometric characteristics of defects are statistically independent random variables -the half-length and the orientation angle between the defect line and the axis of orthotropy with a larger Young's modulus. The ratio for the failure loading integral probability distribution function of the composite was obtained. The dependencies of the researched composite probability of failure (reliability) for the different number of cracks (plate sizes), different types of loading and various values of the exponential distribution parameter are calculated and investigated graphically.

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Adaptive multi-fidelity (AMF) modelling of progressive damage in notched composite laminates

Cited by 11 publications

References 48 publications

Reliability prediction of composite materials with random elastic inclusions

Reliability prediction of composite materials with random elastic inclusions

A Probable Approach to Reliability Assessment of Reinforced Plates

Development of the statistical model failure of orthotropic composite materials

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