Numerical identification of classical and nonclassical moduli of 3D woven textiles and analysis of scale effects

Rahali, Yosra; Goda, Ibrahim; Ganghoffer, Jean‐François

doi:10.1016/j.compstruct.2015.09.023

Cited by 51 publications

(17 citation statements)

References 46 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Pantographic problems, see [2,3,37,38,43,75,76] represent a link between higher-order continua and beam models which might suggest fruitful ideas; in particular the review paper [35] considers the dynamic case. Homogenization theories are treated in [25], graded materials in [4,15] and micropolar continua in [5].…”

Section: Wwwzamm-journalorgmentioning

confidence: 99%

An analytical assessment of finite element and isogeometric analyses of the whole spectrum of Timoshenko beams

2016

View full text Add to dashboard Cite

The theoretical results relevant to the vibration modes of Timoshenko beams are here used as benchmarks for assessing the correctness of the numerical values provided by several finite element models, based on either the traditional Lagrangian interpolation or on the recently developed isogeometric approach. Comparison of results is performed on both spectrum error (in terms of the detected natural frequencies) and on the l2 relative error (in terms of the computed eigenmodes): this double check allows detecting for each finite element model, and for a discretization based on the same number of degrees‐of‐freedom, N, the frequency threshold above which some prescribed accuracy level is lost, and results become more and more unreliable. Hence a quantitative way of measuring the finite element performance in modeling a Timoshenko beam is proposed. The use of Fast Fourier Transform is finally employed, for a selected set of vibration modes, to explain the reasons of the accuracy decay, mostly linked to a poor separation of the natural frequencies in the spectrum, which is responsible of some aliasing of modes.

show abstract

Section: Wwwzamm-journalorgmentioning

confidence: 99%

An analytical assessment of finite element and isogeometric analyses of the whole spectrum of Timoshenko beams

2016

View full text Add to dashboard Cite

show abstract

“…The unit cell energy U cell is then equated to the energy of the equivalent homogenous couple-stress continuum with the effective properties determined by discrete homogenization [62,63], thus it holds the following equality…”

Section: Comparison Of Homogenized Moduli With Finite Element Resultsmentioning

confidence: 99%

Computation of the effective mechanical properties including nonclassical moduli of 2.5D and 3D interlocks by micromechanical approaches

Rahali

Assidi

Goda

et al. 2016

Composites Part B: Engineering

Self Cite

View full text Add to dashboard Cite

“…The polynomial approach was developed further in the works of [12,102,103]. This approach was applied for modeling the homogenized behavior of auxetics [16] and 3D woven textiles based on experiments [170]. However the dependence on the choice of the representative unit cell remains without solution.…”

Section: Discussionmentioning

confidence: 99%

Computational Homogenization of Architectured Materials

Dirrenberger

Forest

Jeulin

2019

Architectured Materials in Nature and Engineering

View full text Add to dashboard Cite

Architectured materials involve geometrically engineered distributions of microstructural phases at a scale comparable to the scale of the component, thus calling for new models in order to determine the effective properties of materials. The present chapter aims at providing such models, in the case of mechanical properties. As a matter of fact, one engineering challenge is to predict the effective properties of such materials; computational homogenization using finite element analysis is a powerful tool to do so. Homogenized behavior of architectured materials can thus be used in large structural computations, hence enabling the dissemination of architectured materials in the industry. Furthermore, computational homogenization is the basis for computational topology optimization which will give rise to the next generation of architectured materials. This chapter covers the computational homogenization of periodic architectured materials in elasticity and plasticity, as well as the homogenization and representativity of random architectured materials.

show abstract

Numerical identification of classical and nonclassical moduli of 3D woven textiles and analysis of scale effects

Cited by 51 publications

References 46 publications

An analytical assessment of finite element and isogeometric analyses of the whole spectrum of Timoshenko beams

An analytical assessment of finite element and isogeometric analyses of the whole spectrum of Timoshenko beams

Computation of the effective mechanical properties including nonclassical moduli of 2.5D and 3D interlocks by micromechanical approaches

Computational Homogenization of Architectured Materials

Contact Info

Product

Resources

About