Multi‐scale modeling of
            three‐dimensional
            angle interlock woven composite subjected to ballistic impact using
            FEM

The vibrational behavior of polymer matrix nanocomposite plates reinforced with carbon fibers (CFs) and carbon nanotubes (CNTs) is studied using the finite element method based on a multi-scale modeling approach. The influences of nano- and micro-scale are coupled through a two-step procedure. First, CNTs are dispersed into the polymer matrix. In the selected representative volume element (RVE), interphase due to chemical interaction between CNT and polymer matrix is considered. Also, the state of dispersion of CNTs into the matrix is assumed to be random. In the second step, CFs are randomly distributed in the reinforced polymer with CNTs. The reinforcement is carried out for various volume fractions of CFs and CNTs. Two three-dimensional models including the brick and shell ones are used to generate the results. Moreover, the analysis is presented for square plates under different types of boundary conditions. The effect of nanocomposite thickness on its vibrational response is also investigated.

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Multi-scale modeling of elastic response of three-dimensional voxel-based microstructure datasets using novel DFT-based knowledge systems

Acta Materialia ◽

10.1016/j.actamat.2010.01.007 ◽

2010 ◽

Vol 58 (7) ◽

pp. 2716-2725 ◽

Cited By ~ 54

Author(s):

Giacomo Landi ◽

Stephen R. Niezgoda ◽

Surya R. Kalidindi

Keyword(s):

Three Dimensional ◽

Knowledge Systems ◽

Elastic Response ◽

Multi Scale ◽

Scale Modeling ◽

Multi Scale Modeling

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Multi-scale modeling of distortion in the non-flat 3D woven composite part manufactured using resin transfer molding

Composites Part A Applied Science and Manufacturing ◽

10.1016/j.compositesa.2020.106145 ◽

2021 ◽

Vol 140 ◽

pp. 106145

Author(s):

Anton Trofimov ◽

Jeremy Le-Pavic ◽

Christophe Ravey ◽

William Albouy ◽

Daniel Therriault ◽

...

Keyword(s):

Resin Transfer Molding ◽

Woven Composite ◽

Composite Part ◽

Transfer Molding ◽

Multi Scale ◽

Scale Modeling ◽

Multi Scale Modeling

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Numerical multi-scale modeling for textile woven fabric against ballistic impact

Computational Materials Science ◽

10.1016/j.commatsci.2011.02.029 ◽

2011 ◽

Vol 50 (7) ◽

pp. 2172-2184 ◽

Cited By ~ 42

Author(s):

Cuong Ha-Minh ◽

Toufik Kanit ◽

François Boussu ◽

Abdellatif Imad

Keyword(s):

Ballistic Impact ◽

Woven Fabric ◽

Multi Scale ◽

Scale Modeling ◽

Multi Scale Modeling

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Multi-Axial Homogenized Energy Model for Ferroelectric Materials

Aerospace ◽

10.1115/imece2006-13733 ◽

2006 ◽

Author(s):

William S. Oates ◽

Ralph C. Smith

Keyword(s):

Domain Switching ◽

Three Dimensional ◽

Ferroelectric Materials ◽

Energy Model ◽

Modeling Framework ◽

Multi Scale ◽

Modeling Approach ◽

Scale Modeling ◽

Multi Scale Modeling ◽

Homogenized Energy Model

A multi-axial homogenized energy model is developed to account for nonlinear and hysteretic ferroelectric constitutive behavior induced by multi-axial electric field loading. The modeling approach extends a one-dimensional multi-scale modeling framework developed for ferroic materials [1, 2]. A three-dimensional energy function is introduced at the mesoscopic length scale and subsequently approximated as piecewise polynomial approximations to improve computational efficiency. Multi-scale field relations are then developed by introducing a distribution of effective electric fields and coercive fields that govern the nucleation of localized domain switching in polycrystalline ferroelectric materials. The distribution of field relations is used to relate the localized domain switching processes to observed macroscopic behavior by utilizing a stochastic homogenization technique. It is demonstrated that a simplified stochastic distribution of effective fields and coercive fields is sufficient to predict multi-axial ferroelectric switching in ferroelectric ceramics. Examples are given to validate the model in comparison to multi-axial loading experiments given in the literature. The model reduction provides a simple and efficient multi-scale modeling approach that is important for developing reliable piezoelectric actuator systems as well as implementation in model-based control of two and three dimensional structures.

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