Perturbation-based stochastic multi-scale computational homogenization method for woven textile composites

Zhou, Xiaochao; Gosling, Peter; Pearce, CJ; Ullah, Zahur; Kaczmarczyk, Łukasz

doi:10.1016/j.ijsolstr.2015.09.008

Cited by 70 publications

(37 citation statements)

References 29 publications

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“…The response of the periodic boundary conditions lies between the displacement and traction boundary conditions. In this paper, the RVE boundary conditions are implemented in a unified manner [17,36,37] within the framework of hierarchic basis functions [38] using distributed memory high-performance computing. The discretised system of equations are written as:…”

Section: Periodic Boundary Conditionsmentioning

confidence: 99%

“…On the other hand, 3D-textile composites help to fully exploit the flexibility and robustness of the computational framework. A unified approach [17,36,37] is used to impose the representative volume element (RVE) boundary conditions, which allows convenient switching between linear displacement, uniform traction and periodic boundary conditions. The computational framework is implemented using hierarchic basis functions of arbitrary polynomial order [38], which allows to increase the order of approximation without changing the finite element mesh.…”

Section: Introductionmentioning

confidence: 99%

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A unified framework for the multi-scale computational homogenisation of 3D-textile composites

Ullah

Zhou

Kaczmarczyk

et al. 2019

Composites Part B: Engineering

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This paper extends the applications of a novel and fully automated multi-scale computational homogenisation framework, originally proposed by the authors (Ullah, et al. (2017)) for unidirectional and 2D-textile composites, to 3D-textile composites. 3D-textile composites offer many advantages over 2D-textile composites but their highly complicated and unpredictable post-cured geometries make their design very challenging. Accurate computational models are therefore essential to the development of these materials. The computational framework described in this paper possesses a variety of novel features which have never been tried for this class of composites and can potentially help to fully automatise and improve their design process. A unified approach is used to impose the representative volume element boundary conditions, which allows convenient switching between linear displacement, uniform traction and periodic boundary conditions. The computational framework is implemented using hierarchic basis functions of arbitrary polynomial order, which allows one to increase the order of approximation without changing the finite element mesh. The yarns' principal directions, required for the transversely isotropic material model are calculated using a potential flow analysis along these yarns. This feature is very useful for 3D-textile composites and can accurately determine fibres' directions even in the case of very deformed yarns. A numerical example from literature consisting of a 3D-orthogonal woven composite is used to demonstrate the correct implementation and performance of the developed computational framework. Also, the developed computational framework is used to perform a comparative study of the homogenised mechanical properties of five 3D-textile composites with different yarn architectures.

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Section: Periodic Boundary Conditionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A unified framework for the multi-scale computational homogenisation of 3D-textile composites

Ullah

Zhou

Kaczmarczyk

et al. 2019

Composites Part B: Engineering

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“…However, these methods are incapable of accommodating the effect of geometrical variations of constituent materials at the microscale. Thus, using a finite element-based numerical approach such as the representative volume element (RVE) homogenisation method is more accurate, widely recommended to predict the effective elastic properties of composites [6], and it is becoming the standard approach for composite materials [7]. The same concept can be applied for other hybrid materials such as solids with voids inclusion.…”

Section: Introductionmentioning

confidence: 99%

Development of an ABAQUS plugin tool for periodic RVE homogenisation

Omairey

Dunning

Sriramula

2018

Engineering with Computers

382

131

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EasyPBC is an ABAQUS CAE plugin developed to estimate the homogenised effective elastic properties of user created periodic representative volume element (RVE), all within ABAQUS without the need to use third-party software. The plugin automatically applies the concepts of the periodic RVE homogenisation method in the software's user interface by categorising, creating, and linking sets necessary for achieving deformable periodic boundary surfaces, which can distort and no longer remain plane. Additionally, it allows the user to benefit from finite element analysis data within ABAQUS CAE interface after calculating homogenised properties. In this article, the algorithm of the plugin based on periodic RVE homogenisation method is explained, which could be developed for other commercial FE software packages. Furthermore, examples of its implementation and verification are illustrated.

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“…Furthermore, nonlinearities associated with the matrix elasto-plasticity and fibre-matrix decohesion make the computational modelling even more challenging. Multi-scale computational homogenisation (CH) provides an accurate modelling framework to simulate the behaviour of FRP composites and determine the macro-scale homogenised (or effective) response, based on the physics of an underlying, microscopically heterogeneous, representative volume element (RVE) [4,5,6,7,8,9,3]. The homogenised properties calculated from the multi-scale CH are subsequently used in the numerical analysis of the macro-level structures.…”

Section: Introductionmentioning

confidence: 99%

Three-dimensional nonlinear micro/meso-mechanical response of the fibre-reinforced polymer composites

Ullah

Kaczmarczyk

Pearce

2017

Composite Structures

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A three-dimensional multi-scale computational homogenisation framework is developed for the prediction of nonlinear micro/meso-mechanical response of the fibre-reinforced polymer (FRP) composites. Two dominant damage mechanisms, i.e. matrix elasto-plastic response and fibre-matrix decohesion are considered and modelled using a non-associative pressure dependent paraboloidal yield criterion and cohesive interface elements respectively. A linear-elastic transversely isotropic material model is used to model yarns/fibres within the representative volume element (RVE). A unified approach is used to impose the RVE boundary conditions, which allows convenient switching between linear displacement, uniform traction and periodic boundary conditions. The computational model is implemented within the framework of the hierarchic finite element, which permits the use of arbitrary orders of approximation. Furthermore, the computational framework is designed to take advantage of distributed memory high-performance computing. The accuracy and performance of the computational framework are demonstrated with a variety of numerical examples, including unidirectional FRP composite, a composite comprising a multi-fibre and multi-layer RVE, with randomly generated fibres, and a single layered plain weave textile composite. Results are validated against the reference experimental/numerical results from the literature. The computational framework is also used to study the effect of matrix and fibre-matrix interfaces properties on the

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Perturbation-based stochastic multi-scale computational homogenization method for woven textile composites

Cited by 70 publications

References 29 publications

A unified framework for the multi-scale computational homogenisation of 3D-textile composites

A unified framework for the multi-scale computational homogenisation of 3D-textile composites

Development of an ABAQUS plugin tool for periodic RVE homogenisation

Three-dimensional nonlinear micro/meso-mechanical response of the fibre-reinforced polymer composites

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