Phase field fracture predictions of microscopic bridging behaviour of composite materials

Tan, Wei; Martínez‐Pañeda, Emilio

doi:10.1016/j.compstruct.2022.115242

Cited by 42 publications

(15 citation statements)

References 49 publications

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“…By substituting the expressions for the inte gral probability distribution function of strength ( 9), (10) into formulas (29)-(32), let's find the strength statistical characteristics of a compo site material plate with a stochastic distribution of N inclusions.…”

Section: ( ) Rmentioning

confidence: 99%

“…In work [9], metamodels such as support vector machines, radial basis function, and logistic regression in conjunc tion with Latin hypercube, Sobol, and Halton sequence sampling methods were used to calculate the failure prob ability in the carbon fibre/epoxybased composite material. In [10] was investigated the role of microstructural bridg ing on the fracture toughness of composite materials. To achieve this, a new computational framework is presen ted that integrates phase field fracture and cohesive zone models to simulate fibre breakage, matrix cracking and fibrematrix debonding.…”

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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Section: ( ) Rmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Reliability prediction of composite materials with random elastic inclusions

Kvit

2022

TAPR

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“…Phase field fracture methods have become the de facto choice for modelling a wide range of cracking phenomena. New phase field formulations have been presented for ductile fracture [5,6], composite materials [7][8][9], shape memory alloys [10,11], functionally graded materials [12,13], fatigue damage [14,15] and hydrogen embrittlement [16,17], among others (see Refs. [18,19] for an overview).…”

Section: Introductionmentioning

confidence: 99%

A general framework for decomposing the phase field fracture driving force, particularised to a Drucker–Prager failure surface

Navidtehrani

Betegón

Martínez‐Pañeda

2022

Theoretical and Applied Fracture Mechanics

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“…[43] for a review). Developments include the simulation of intralaminar and translaminar fracture in long-fibre composites [44][45][46], anisotropic formulations [47,48], the analysis of functionally graded composites [49,50], micromechanical models that explicitly resolve the microstructure [51][52][53] and multi-scale approaches [54], However, no phase field fracture formulation for CNT-based composites has been presented yet.…”

Section: Introductionmentioning

confidence: 99%

Micromechanics-based phase field fracture modelling of CNT composites

Quinteros¹,

García-Macías²,

Martínez-Pañeda³

2022

Preprint

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We present a novel micromechanics-based phase field approach to model crack initiation and propagation in carbon nanotube (CNT) based composites. The constitutive mechanical and fracture properties of the nanocomposites are first estimated by a mean-field homogenisation approach. Inhomogeneous dispersion of CNTs is accounted for by means of equivalent inclusions representing agglomerated CNTs. Detailed parametric analyses are presented to assess the effect of the main micromechanical properties upon the fracture behaviour of CNT-based composites. The second step of the proposed approach incorporates the previously estimated constitutive properties into a phase field fracture model to simulate crack initiation and growth in CNTbased composites. The modelling capabilities of the framework presented is demonstrated through three paradigmatic case studies involving mode I and mixed mode fracture conditions.

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Phase field fracture predictions of microscopic bridging behaviour of composite materials

Cited by 42 publications

References 49 publications

Reliability prediction of composite materials with random elastic inclusions

Reliability prediction of composite materials with random elastic inclusions

A general framework for decomposing the phase field fracture driving force, particularised to a Drucker–Prager failure surface

Micromechanics-based phase field fracture modelling of CNT composites

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