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Random models versus periodic models for fibre reinforced composites

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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International Journal for Numerical Methods in Engineering
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Computational damage mechanics for composite materials based on mathematical homogenization
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Stochastic finite element method for elasto-plastic body
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Multiscale damage modelling for composite materials: theory and computational framework
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Homogenization Techniques for Composite Media
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Stochastic Modeling of Microstructures
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Stochastic Finite Elements: A Spectral Approach
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A Short Introduction to Continuum Micromechanics
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Statistical Continuum Mechanics
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Hill condition and overall properties of composites
inferredcites →https://doi.org/10.1016/0020-7683(94)00097-gopenalex-snapshot
Multiple scale analysis of heterogeneous elastic structures using homogenization theory and voronoi cell finite element method
inferredcites →https://doi.org/10.1016/0020-7683(94)00140-ropenalex-snapshot
Derivation of the in-plane elastic characteristics of masonry through homogenization theory
inferredcites →https://doi.org/10.1016/0022-5096(96)00007-5openalex-snapshot
A micromechanics-based nonlocal constitutive equation and estimates of representative volume element size for elastic composites
inferredcites →https://doi.org/10.1016/0045-7825(95)00974-4openalex-snapshot
Two scale analysis of heterogeneous elastic-plastic materials with asymptotic homogenization and Voronoi cell finite element model
inferredcites →https://doi.org/10.1016/0045-7949(80)90031-0openalex-snapshot
The stochastic finite-element method
inferredcites →https://doi.org/10.1016/0266-3538(94)00075-1openalex-snapshot
Effects of a composite-like stress state on the fracture of epoxies
inferredcites →https://doi.org/10.1016/0266-3538(94)90141-4openalex-snapshot
Quantitative description of the microstructure of composites. Part I: Morphology of unidirectional composite systems
inferredcites →https://doi.org/10.1016/0266-3538(95)00141-7openalex-snapshot
Prediction of composite properties from a representative volume element
inferredcites →https://doi.org/10.1016/0956-7151(91)90274-5openalex-snapshot
Deformation of metal-matrix composites with continuous fibers: geometrical effects of fiber distribution and shape
inferredcites →https://doi.org/10.1016/s0020-7683(01)00240-2openalex-snapshot
Numerical simulation of fiber reinforced composite materials––two procedures
inferredcites →https://doi.org/10.1016/s0020-7683(03)00143-4openalex-snapshot
Determination of the size of the representative volume element for random composites: statistical and numerical approach
inferredcites →https://doi.org/10.1016/s0020-7683(97)00090-5openalex-snapshot
Micromechanics and effective transverse elastic moduli of composites with randomly located aligned circular fibers
inferredcites →https://doi.org/10.1016/s0020-7683(97)00144-3openalex-snapshot
Random field models of heterogeneous materials
inferredcites →https://doi.org/10.1016/s0022-5096(00)00027-2openalex-snapshot
Numerical evaluation of effective elastic properties of graphite fiber tow impregnated by polymer matrix
inferredcites →https://doi.org/10.1016/s0022-5096(97)00016-1openalex-snapshot
Representative volume element size for elastic composites: A numerical study
inferredcites →https://doi.org/10.1016/s0045-7825(03)00348-7openalex-snapshot
A multilevel finite element method (FE2) to describe the response of highly non-linear structures using generalized continua
inferredcites →https://doi.org/10.1016/s0045-7825(98)00105-4openalex-snapshot
Stochastic finite elements as a bridge between random material microstructure and global response
inferredcites →https://doi.org/10.1016/s0045-7825(98)00227-8openalex-snapshot
Effective properties of composite materials with periodic microstructure: a computational approach
inferredcites →https://doi.org/10.1016/s0749-6419(99)00008-xopenalex-snapshot
Elastic-plastic behavior of elastically homogeneous materials with a random field of inclusions
inferredcites →https://doi.org/10.1016/s0927-0256(01)00257-9openalex-snapshot
Representative volume element for non-uniform micro-structure
inferredcites →https://doi.org/10.1016/s1359-835x(00)00182-2openalex-snapshot
General unit cells for micromechanical analyses of unidirectional composites
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Influence of the inclusions distribution on the effective properties of heterogeneous media
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Random Field Modeling of Elastic Properties Using Homogenization
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Robust Tests for the Equality of Variances
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Mechanics of Composite Materials
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Design and Analysis of Experiments
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Stochastic Finite Element Method
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Statistical Analysis of Microstructures in Materials Science
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Statistics in Practice
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The second-order analysis of stationary point processes

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Numerical Analysis of Fiber Reinforced Composite Material for Structural Component Application
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A Stochastic XFEM Model to Study Delamination in PPS/Glass UD Composites: Effect of Uncertain Fracture Properties
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Three-Dimensional Analysis of the Effect of Material Randomness on the Damage Behaviour of CFRP Laminates with Stochastic Cohesive-Zone Elements
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A Numerical Method for Simulating the Microscopic Damage Evolution in Composites Under Uniaxial Transverse Tension
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Micromechanical damage behavior of fiber-reinforced composites under transverse loading including fiber-matrix debonding and matrix cracks
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Elastic Field of a Heterogeneous Medium Containing Doubly Periodic Cylindrical Inclusions Under Antiplane Shear and its Application
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Evaluating the Reliability of the Von Mises Criterion for Matrix-Dominated Transverse Failure in Unidirectional Glass Fiber-Reinforced Composites
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From micro to macro
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Homogenization methods to approximate the effective response of random fibre-reinforced Composites
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Micromechanical modeling of the elastic behavior of unidirectional CVI SiC/SiC composites
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Generation of random fiber distribution using the RSE-Monte Carlo algorithm to investigate the mechanical properties of UD composite
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A review on micromechanical modelling of progressive failure in unidirectional fibre-reinforced composites
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A new approach to rapidly generate random periodic representative volume elements for microstructural assessment of high volume fraction composites
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Generation of random fiber distributions in fiber reinforced composites based on Delaunay triangulation
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A new algorithm to generate non-uniformly dispersed representative volume elements of composite materials with high volume fractions
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Spectral strong-contrast prediction of transverse elastic modulus in unidirectional fiber-reinforced composites
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Effective transverse elastic properties of unidirectional fiber reinforced composites
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Micro-scale progressive damage development in polymer composites under longitudinal loading
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Mechanical properties of poly–propylene reinforced with Argan nut shell aggregates: Computational strategy based microstructures
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Effective properties of periodic composites: Irrelevance of one particle homogenization techniques
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Effect of interface properties on micromechanical damage behavior of fiber reinforced composites
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Mechanical characterization and modeling of sponge-reinforced hydrogel composites under compression
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Computational Thermal Model of Unidirectional Composites with Random Fiber Array
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Impact of the geometry of inclusions at the micro-scale on the overall stochastic properties
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Study of the effect of random interfacial debonded on the elastic constants of carbon fiber composites
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Effect of the distribution of lip-shaped matrix cracks in continuous fibre reinforced ceramic matrix composites on failure progress under transverse tension
inferred← citeshttps://doi.org/10.1088/1742-6596/3191/1/012089openalex-snapshot
A Surrogate Modelling Framework for Predicting the Effective Behaviour of Composite Materials
inferred← citeshttps://doi.org/10.1088/1757-899x/1013/1/012015openalex-snapshot
The study of Elastic Modulus and Thermal Conductivity of Different Fiber Cross-section of Fiber-Reinforced Composite in ANSYS
inferred← citeshttps://doi.org/10.1088/1757-899x/265/1/012004openalex-snapshot
Effective antiplane shear moduli of the composites with doubly periodic fibers
inferred← citeshttps://doi.org/10.1088/1757-899x/362/1/012006openalex-snapshot
Prediction of Elastic Constants of the Fuzzy Fibre Reinforced Polymer Using Computational Micromechanics
inferred← citeshttps://doi.org/10.1115/1.4034024openalex-snapshot
Aspects of Computational Homogenization at Finite Deformations: A Unifying Review From Reuss' to Voigt's Bound
inferred← citeshttps://doi.org/10.1142/s0129183119500177openalex-snapshot
Evaluation of second-order correlations adjusted with simulated annealing on physical properties of unidirectional nonoverlapping fiber-reinforced materials (UD Composites)
inferred← citeshttps://doi.org/10.1142/s1756973721430022openalex-snapshot
Micromechanical Modeling of Unidirectional CFRP Composites with Proportional Stressing
inferred← citeshttps://doi.org/10.1142/s1758825120500325openalex-snapshot
Numerical Evaluation of the Thermal Properties of UD-Fibers Reinforced Composites for Different Morphologies
inferred← citeshttps://doi.org/10.1142/s2424913022410016openalex-snapshot
Influence of non-uniformity in inter-fibre distance on strength distribution of unidirectional fibre-reinforced polymer composites
inferred← citeshttps://doi.org/10.1155/2013/456398openalex-snapshot
On the Effect of Unit-Cell Parameters in Predicting the Elastic Response of Wood-Plastic Composites
inferred← citeshttps://doi.org/10.1155/2019/8175689openalex-snapshot
Effects of Nonuniform Fiber Geometries on the Microstructural Fracture Behavior of Ceramic Matrix Composites
inferred← citeshttps://doi.org/10.1177/0021998311423984openalex-snapshot
COMM Toolbox: A MATLAB toolbox for micromechanical analysis of composite materials
inferred← citeshttps://doi.org/10.1177/0021998315594482openalex-snapshot
Theoretical and computational modeling of clustering effect on effective thermal conductivity of cement composites filled with natural hemp fibers
inferred← citeshttps://doi.org/10.1177/0021998315614992openalex-snapshot
Micromechanical damage analysis in laminated composites with randomly distributed fibers
inferred← citeshttps://doi.org/10.1177/0021998315617819openalex-snapshot
Quantification of mesoscale variability and geometrical reconstruction of a textile
inferred← citeshttps://doi.org/10.1177/0021998316651127openalex-snapshot
Effective use of cohesive zone-based models for the prediction of progressive damage at the fiber/matrix scale
inferred← citeshttps://doi.org/10.1177/0021998316662133openalex-snapshot
Characterization, synthetic generation, and statistical equivalence of composite microstructures
inferred← citeshttps://doi.org/10.1177/0021998316681186openalex-snapshot
Virtual characterization and macroscopic material modeling of a carbon fiber-reinforced PA6 UD composite
inferred← citeshttps://doi.org/10.1177/0021998317714856openalex-snapshot
Numerical investigation of fiber random distribution on the mechanical properties of yarn in-plain woven carbon fiber-reinforced composite based on a new perturbation algorithm
inferred← citeshttps://doi.org/10.1177/0021998317747954openalex-snapshot
Influence of the micro-structure on saturated transverse flow in fibre arrays
inferred← citeshttps://doi.org/10.1177/0021998318759742openalex-snapshot
Mechanical behavior of unidirectional composites with hexagonal and uneven distribution of fibers in the transverse cross-section
inferred← citeshttps://doi.org/10.1177/00219983231172067openalex-snapshot
Generation of unidirectional fiber random distribution structures based on an artificial fish swarm algorithm with random deletion after fiber filling
inferred← citeshttps://doi.org/10.1177/00219983241236868openalex-snapshot
A novel algorithm to generate representative volume elements with cylindrical fibers and sphere particles
inferred← citeshttps://doi.org/10.1177/00219983251384771openalex-snapshot
Insights into the influence of microstructure on strength and damage progression in carbon/carbon composites
inferred← citeshttps://doi.org/10.1177/0731684418779441openalex-snapshot
Micromechanical modeling of the mechanical behavior of unidirectional composites – A comparative study
inferred← citeshttps://doi.org/10.1177/07316844241266012openalex-snapshot
A periodic micromechanical model for the rate- and temperature-dependent behavior of unidirectional carbon fiber-reinforced PVDF
inferred← citeshttps://doi.org/10.1177/08927057231169893openalex-snapshot
A novel method for generating random fiber distributions for fiber-reinforced materials
inferred← citeshttps://doi.org/10.1177/0954406217736789openalex-snapshot
Image-based modeling of moisture-induced swelling and stress in 2D textile composite materials using a global-local approach
inferred← citeshttps://doi.org/10.1177/096369351602500301openalex-snapshot
Micromechanical Modeling of Damage Development in Polymer Composites
inferred← citeshttps://doi.org/10.1177/096739111802600301openalex-snapshot
Global Sensitivity Analysis for the Elastic Properties of Unidirectional Carbon Fibre Reinforced Composites Based on Metamodels
inferred← citeshttps://doi.org/10.1177/1528083717747333openalex-snapshot
Hierarchical framework for quantifying multiscale structures of two-dimensional woven carbon fibre-reinforced composites considering geometric variability
inferred← citeshttps://doi.org/10.1179/174328910x12608851832731openalex-snapshot
Geometrical range of microscopic stress distribution change due to fibre array irregularities for thermally and transversely loaded CF/epoxy composites
inferred← citeshttps://doi.org/10.12677/mos.2025.146470openalex-snapshot
Mesoscopic Structure Modeling and Mechanical Property Simulation of Hybrid Composites
inferred← citeshttps://doi.org/10.1533/9781782421801.61openalex-snapshot
Composite materials – modelling, prediction and optimization
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Damage accumulation and redistribution of stresses in fiber reinforced material
inferred← citeshttps://doi.org/10.2139/ssrn.7214174openalex-snapshot
Micromechanical study on microcrack evolution in CFRP under coupled cryogenic cycling and pre-strain
inferred← citeshttps://doi.org/10.2140/jomms.2024.19.885openalex-snapshot
A computational homogenization model for mechanical properties of natural fiber reinforced cementitious composites with functionally graded interphase
inferred← citeshttps://doi.org/10.24423/cames.46openalex-snapshot
Trabecular bone numerical homogenization with the use of buffer zone
inferred← citeshttps://doi.org/10.2514/6.2015-0971openalex-snapshot
Damage Development 3D-RUC of Polymer Matrix with Randomly Distributed Fibers
inferred← citeshttps://doi.org/10.2514/6.2015-1361openalex-snapshot
Multiscale Stochastic Analysis of FRP based on variability in fiber volume fraction, epoxy stiffness and strength
inferred← citeshttps://doi.org/10.2514/6.2016-0731openalex-snapshot
Effect of Strength Variation Along a Single Fiber on Micro-Scale Damage Development in UD-FRPs
inferred← citeshttps://doi.org/10.2991/ic3me-15.2015.99openalex-snapshot
The mechanical property prediction of fibre-reinforced composite materials based on a new generating random fibre distributions method
inferred← citeshttps://doi.org/10.3389/fmats.2023.1198493openalex-snapshot
Multiscale analyses of the damage of composite rocket motor cases
inferred← citeshttps://doi.org/10.3390/jcs9060288openalex-snapshot
Voxel-Based Finite Element Investigation of Micromechanics Models for Stiffness Prediction of Cross-Ply Laminates
inferred← citeshttps://doi.org/10.3390/ma12121885openalex-snapshot
A Multiscale Modelling Approach for Estimating the Effect of Defects in Unidirectional Carbon Fiber Reinforced Polymer Composites
inferred← citeshttps://doi.org/10.3390/ma13061354openalex-snapshot
Stiffness Estimates for Composites with Elliptic Cylindrical Voids
inferred← citeshttps://doi.org/10.3390/ma15124361openalex-snapshot
An Experimentally Based Micromechanical Framework Exploring Effects of Void Shape on Macromechanical Properties
inferred← citeshttps://doi.org/10.3390/ma9080624openalex-snapshot
Micromechanical Modeling of Fiber-Reinforced Composites with Statistically Equivalent Random Fiber Distribution
inferred← citeshttps://doi.org/10.3390/polym17131721openalex-snapshot
Effects of Void Characteristics on the Mechanical Properties of Carbon Fiber Reinforced Polyetheretherketone Composites: Micromechanical Modeling and Analysis
inferred← citeshttps://doi.org/10.3390/polym18151882openalex-snapshot
Multiscale Prediction of Equivalent Elastic Properties of Carbon/Glass Hybrid Composite Laminates
inferred← citeshttps://doi.org/10.4028/www.scientific.net/amm.146.1openalex-snapshot
Micro-Scale Modeling of Carbon-Fiber Reinforced Thermoplastic Materials
inferred← citeshttps://doi.org/10.4028/www.scientific.net/amr.750-752.11openalex-snapshot
A Multi-Scale Non-Deterministic Approach to Composite Curing Process Simulation
inferred← citeshttps://doi.org/10.4028/www.scientific.net/amr.97-101.1661openalex-snapshot
Parametric Modeling Method for Composite Microstructure Virtual Testing
inferred← citeshttps://doi.org/10.4028/www.scientific.net/kem.417-418.13openalex-snapshot
Modelling the Effect of Microstructural Randomness on the Fracture of Composite Laminates with Stochastic Cohesive Zone Elements
inferred← citeshttps://doi.org/10.4028/www.scientific.net/kem.554-557.2348openalex-snapshot
A Micro-Scale Model for Fiber Tow Characterization under Nondeterministic Assumption: Longitudinal and Transverse Permeability
inferred← citeshttps://doi.org/10.4172/2169-0022.1000307openalex-snapshot
A Comparative Study of Three Different Microscale Approaches for Modeling Woven Composite Material
inferred← citeshttps://doi.org/10.70675/459a6271z1f5dz4780z97f3z9011fac024c9openalex-snapshot
Durability of mechanical performance of prestressed bolted composite joints in a hygro - thermo - mechanical environment
inferred← citeshttps://doi.org/10.70675/6c2eeb34z08f1z482ezbe26za845f9bb3ee9openalex-snapshot
Contribution à l'étude de l'influence des interphases sur les propriétés mécaniques à l'échelle macroscopique d'un composite unidirectionnel : approche numérique
inferred← citeshttps://doi.org/10.70675/891631e2z257cz40c7z916az9c01e011cad8openalex-snapshot
Contribution à la modélisation des phénomènes de percolation électrique dans les matériaux à structures complexes : application au soudage par induction des matériaux composites pour l'industrie aéronautique
inferred← citeshttps://doi.org/10.70675/ab09db62zf787z4674zb064ze525011162abopenalex-snapshot
Contribution à l'homogénéisation de matériaux hétérogènes viscoélastiques : milieux aléatoires et périodiques et prise en compte des interfaces
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