Homogenization of balanced plain weave composites with imperfect microstructure: Part I––Theoretical formulation

Zeman, Jan; Šejnoha, Michal

doi:10.1016/j.ijsolstr.2004.05.011

Cited by 44 publications

(34 citation statements)

References 54 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…1(c)-3(c). In case of masonry structures (for textile composites we refer the interested reader to [2,4], Fig. 3(c), the unit cell is fully determined once the width of the unit cell, heights of each layer of bricks and thicknesses of individual joints are specified.…”

Section: Definition Of a Periodic Unit Cellmentioning

confidence: 99%

See 1 more Smart Citation

Micromechanical modeling of random or imperfect composites

Šejnoha¹,

Zeman²

2006

WIT Transactions on the Built Environment, Vol 85

View full text Add to dashboard Cite

A class of heterogeneous material systems often regarded as random or imperfect composites is addressed in this paper. The literature now offers a number of contributions that open the way to the analysis of large material systems with complex microstructures while taking advantage of popular micromechanics based approaches building on periodicity and first order homogenization techniques. Until recently the attention has been mostly limited to rather classical material systems such as unidirectional fibrous composites and textiles with emphasis on various types of imperfections developed during fabrication process on both microscale (level of fiber bundles) and meso-scale (level of textile geometry). From the basic mechanics point of view, however, it appears logical to exploit the essential principles of the proposed procedures in bridging the gap between mechanical and civil engineering applications. In this regard, historical masonry structures classified as systems composed of more than one material component serve as a typical example of civil engineering applications, which may benefit from standard first order homogenization schemes extended to account for possibly irregular arrangement of individual stone blocks. In this contribution, both groups of material systems will be treated on the same footing demonstrating the applicability of basic homogenization techniques as well as similarities between various heterogeneous material systems when referred to as random or imperfect.

show abstract

Section: Definition Of a Periodic Unit Cellmentioning

confidence: 99%

“…Giving up the benefit of periodic fields in such cases seems, therefore, reasonable but definitely not very practical. Instead, the recently introduced concept of statistically equivalent periodic unit cell (SEPUC) [2,3,4], appears as a suitable method of attack.…”

Section: Introductionmentioning

confidence: 99%

Micromechanical modeling of random or imperfect composites

Šejnoha¹,

Zeman²

2006

WIT Transactions on the Built Environment, Vol 85

View full text Add to dashboard Cite

show abstract

“…The texture is described by Langelaan et al [3]. Zeman [4] and Sejnoha [5] have developed a mathematical framework for the determination of the unit cells of plain weave fabric composites with reinforcement imperfections, and they treat imperfections in a combined manner. Desplentere et al [6] have developed an integrated approach for the simulation of the RTM process with uncertain permeability over the volume of the textile reinforcement.…”

Section: State-of-the-art In Stochastic Modelling For Materials Behavimentioning

confidence: 99%

Identification of Uncertainty and Quantification of Variability in Woven Composite Materials Based on Carbon Fibre Weaves

Vanaerschot¹,

Lomov²,

Moens³

et al. 2015

Proceedings of the 1st International Conference on Uncertainty Quantification in Computational Sciences and Engineering (UNCECO

View full text Add to dashboard Cite

Abstract. Composite materials are created as a quite complex architecture which includes a fibre reinforcement structure and matrix material. Many material parameters play a role when composite structures are modelled, e.g. in finite element models. In addition to the properties of the raw fibre and matrix materials which are used, also geometrical parameters have a significant effect on structural characteristics.With the multitude of model parameters which have to be taken into account, the effect of uncertainty becomes even more complicated. For many parameters the range or the distribution is not well known. The objective of this paper is to develop a consistent approach to identify and to quantify the effect of uncertainty and variability as concisely as possible, in order to allow for structural analysis which takes into account variability in a realistic way.In addition to the identification of probability distribution functions which are established, parameter correlations between different positions along a tow and between two tows are also determined.

show abstract

“…This part has been extensively studied in a number of our previous works and will not be developed here any further. Instead, the interested reader is referred to [4,5].…”

Section: Experimental Programmentioning

confidence: 99%

“…A lucid presentation of individual steps enabling the substitution of real microstructures by their simplified artificial representatives -the SEPUCs -is available, e.g. in [2,3,5] and additional references given below. Herein, these steps are briefly reviewed concentrating on the specifics of multi-layer woven composites.…”

Section: Statistically Equivalent Period Unit Cellmentioning

confidence: 99%

Material characterization and modeling of carbon–carbon textile composites

Vorel¹,

cek²,

Sejnoha³

2010

WIT Transactions on the Built Environment

View full text Add to dashboard Cite

Material modeling plays an irreplaceable role in assessing the practical applicability of any type of material system. A successful approach requires with no doubt a combination of experimental measurements with predictive numerical simulations. While numerical simulations of complex heterogeneous materials often rely on the well established concept of the statistically equivalent periodic unit cell, its formulation for complex material systems, such as carbon-carbon (C/C) composites, is far from trivial, particularly in view of a hardly negligible intrinsic porosity of these material systems. Here reliable information about the actual size, shape and distribution of pores in the composite are provided using X-Ray microtomography combined with two-dimensional images of composite sections. Similarly, difficulties arise when searching for reliable material data of individual constituents. Although usually supplied by the manufacturer, the material properties of individual constituents may significantly deviate from these values when introduced into the composite. To add credibility to numerical predictions the properties derived from nanoindentation tests performed directly on the composite are adopted. The proposed synergy of experimental and numerical modeling is exploited here to provide estimates of the elastic stiffnesses of porous multilayer C/C composites with imperfect microstructure.

show abstract

Homogenization of balanced plain weave composites with imperfect microstructure: Part I––Theoretical formulation

Cited by 44 publications

References 54 publications

Micromechanical modeling of random or imperfect composites

Micromechanical modeling of random or imperfect composites

Identification of Uncertainty and Quantification of Variability in Woven Composite Materials Based on Carbon Fibre Weaves

Material characterization and modeling of carbon–carbon textile composites

Contact Info

Product

Resources

About