Stochastic Constitutive Model of Isotropic Thin Fiber Networks Based on Stochastic Volume Elements

@article{Mansour2019StochasticCM,
  title={Stochastic Constitutive Model of Isotropic Thin Fiber Networks Based on Stochastic Volume Elements},
  author={Rami Mansour and Artem Kulachenko and Wei Chen and M{\aa}rten Olsson},
  journal={Materials},
  year={2019},
  volume={12}
}
Thin fiber networks are widely represented in nature and can be found in man-made materials such as paper and packaging. The strength of such materials is an intricate subject due to inherited randomness and size-dependencies. Direct fiber-level numerical simulations can provide insights into the role of the constitutive components of such networks, their morphology, and arrangements on the strength of the products made of them. However, direct mechanical simulation of randomly generated large… 
The influence of structural variations on the constitutive response and strain variations in thin fibrous materials
TLDR
The results suggest that the spatial variability in density presents the highest impact on the local strain field followed by thickness and fiber orientation, and the fiber orientation angle with respect to the drying restraints is the key influencer.
On the role of fibre bonds on the elasticity of low-density papers: a micro-mechanical approach
Fine prediction of the elastic properties of paper materials can now be obtained using sophisticated fibre scale numerical approaches. However, there is still a need, in particular for low-density
Humidity influence on mechanics of paper materials: joint numerical and experimental study on fiber and fiber network scale
Paper materials are well-known to be hydrophilic unless chemical and mechanical processing treatments are undertaken. The relative humidity impacts the fiber elasticity, the interfiber joint behavior
Modeling the effect of creep in paper fibres under the influence of external loading and changes in moisture
Abstract Paper is a material exhibiting a complex microstructure that is composed of a network of fibres at the micro-level. When subjected to external loading or variations in moisture conditions
Data-driven microstructure sensitivity study of fibrous paper materials
Abstract Nowadays, Machine Learning (ML) model of the structure-property relation based on large data from reliable physical models becomes a new and promising approach for material design. The
Fatigue probability model for AWJ-cut steel including surface roughness and residual stress
Abstract An analytical model for the fatigue probability of abrasive waterjet cut high strength steel as a function of surface roughness, surface residual stress, tensile strength and number of
Digital Scanning of Welds and Influence of Sampling Resolution on the Predicted Fatigue Performance: Modelling, Experiment and Simulation
Digital weld quality assurance systems are increasingly used to capture local geometrical variations that can be detrimental for the fatigue strength of welded components. In this study, a method is
Reliability Analysis of Nonlinear Vibratory Systems Under Non-Gaussian Loads Using a Sensitivity-Based Propagation of Moments
The paper proposes a new methodology for time-dependent reliability analysis of vibratory systems using a combination of a first-order, four-moment (FOFM) method and a non-Gaussian Karhunen–Loeve
A Review of Recent Trends and Challenges in Computational Modeling of Paper and Paperboard at Different Scales
TLDR
This work aims at giving a systematic review of the numerical approaches and obtained results published in recent years on paper and paperboard, focusing on both the recent trends and achievements as well as challenges and open questions.
Second-order reliability methods: a review and comparative study
Second-order reliability methods are commonly used for the computation of reliability, defined as the probability of satisfying an intended function in the presence of uncertainties. These methods
...
1
2
...

References

SHOWING 1-10 OF 55 REFERENCES
Effect of Fiber Crimp on the Elasticity of Random Fiber Networks With and Without Embedding Matrices.
TLDR
The mechanics of cross-linked networks with crimped athermal fibers, with and without an embedding elastic matrix, are studied and a semi-analytic model is developed to predict the dependence of network modulus on the crimp amplitude and the bounds of the stiffness reduction associated with the presence of crimp.
Micromechanical Modeling of Fiber-Reinforced Composites with Statistically Equivalent Random Fiber Distribution
TLDR
A new algorithm for generating random representative volume elements (RVEs) with statistical equivalent fiber distribution against the actual material microstructure is developed and shown to be highly accurate and can be used to generate statistically equivalent RVEs for not only fiber-reinforced composites but also other materials such as foam materials and particle- reinforcing composites.
Direct simulations of fiber network deformation and failure
A finite element model for 3D random fiber networks was constructed to simulate deformation and failure behavior of networks with dynamic bonding/debonding properties. Such fiber networks are
Uncertainty quantification in computational stochastic multiscale analysis of nonlinear elastic materials
Abstract This paper is devoted to a computational stochastic multiscale analysis of nonlinear structures made up of heterogeneous hyperelastic materials. At the microscale level, the nonlinear
Representative volume element for parallel fiber bundles: Model and size convergence
Abstract The simulation of textiles often occurs at the meso scale, where the individual tows are treated as a homogeneous continuum. To properly utilize such models, fiber-scale models are required
A continuum micromechanics approach to the elasticity and strength of planar fiber networks: Theory and application to paper sheets
Abstract 2D materials such > as planar fibrous networks exhibit several mechanical peculiarities, which we here decipher through a 3D-to-2D transition in the framework of continuum micromechanics or
Constitutive modelling of a paper fibre in cyclic loading applications
Paper is used in a wide range of applications, each of which has specific requirements on mechanical and surface properties. The role of paper strength on paper performance is still not well
A stochastic computational multiscale approach; Application to MEMS resonators
Abstract The aim of this work is to develop a stochastic multiscale model for polycrystalline materials, which accounts for the uncertainties in the micro-structure. At the finest scale, we model the
Computational uncertainty analysis in multiresolution materials via stochastic constitutive theory
Abstract A stochastic constitutive theory is proposed in this work to propagate microstructure uncertainties in computational multiscale continuum models to bulk multiresolution material behavior.
Statistical volume element method for predicting microstructure-constitutive property relations
Abstract There is an inevitable need to establish multilength scale statistical microstructure–constitutive property relations in materials design. In this paper, we have developed a statistical
...
1
2
3
4
5
...