Virtual testing of composites: Imposing periodic boundary conditions on general finite element meshes

Akpoyomare, Ambrose I.; Okereke, Michael; Bingley, M.S.

doi:10.1016/j.compstruct.2016.10.114

Cited by 18 publications

(14 citation statements)

References 18 publications

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“…Periodic boundary conditions were imposed on the non-periodic RVE mesh following the approach of Nguyen et al [45], using Lagrange polynomials of degree 9. The macroscopic stress was determined as the average of the corresponding microscopic quantity, computed with the simplified formula described in [46].…”

Section: Discussionmentioning

confidence: 99%

Analysis of the correlation between micro-mechanical fields and fatigue crack propagation path in nodular cast iron

et al. 2020

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Section: Discussionmentioning

confidence: 99%

Analysis of the correlation between micro-mechanical fields and fatigue crack propagation path in nodular cast iron

et al. 2020

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“…The macroscopic effective uniaxial stress and strain ̅ were determined as the volume averages of the corresponding microscopic local quantities using the simplified formulas reported in ref. [27].…”

Section: Constituent Materials Modelsmentioning

confidence: 99%

“…However, this technique is not applicable 29 in the presence of discontinuities such as cracks, which is the second challenge in the present case. The method of Akpoyomare et al [27], which is based on decomposing a face into triangles over which linear interpolants are defined, does not suffer from this limitation. On the other hand, to decrease the impact of the non-smooth transition at the edges of the triangles, a high number of triangles should be used, thus increasing the computational complexity.…”

Section: Sensitivity To the Model Parametersmentioning

confidence: 99%

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A simplified formula to estimate the size of the cyclic plastic zone in metals containing elastic particles

Andriollo

Kouznetsova

2021

Engineering Fracture Mechanics

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“…PBCs were initially proposed by Michel et al., 22 Suquet 23 for the homogenization of the periodic materials. Later, many researchers 24–30 have implemented them for the homogenization of composite materials containing elastic and inelastic constituents. Espadas-Escalante et al.…”

Section: Multi-scale Modellingmentioning

confidence: 99%

A multiscale framework for predicting the mechanical properties of unidirectional non-crimp fabric composites with manufacturing induced defects

Rouf

Worswick

Montesano

2020

Journal of Composite Materials

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The aim of this study was to evaluate the effect of manufacturing induced in-plane tow misalignment and out-of-plane tow crimp on the mechanical properties of a heavy-tow unidirectional non-crimp fabric (UD-NCF) composite. The elastic constants and failure onset (strength) are predicted by employing a multiscale computational approach. Micro-scale finite element (FE) models that explicitly represent the fibers and matrix within the tow microstructure were used to predict the effective properties of the tow. Meso-scale FE models comprised of the homogenized tows and surrounding matrix were used to predict the properties of a UD NCF composite lamina. Four meso-scale models, identified as ideal, crimp, misalignment and real, were considered in this study. No manufacturing defects were represented in the ideal model, while out-of-plane crimp, in-plane misalignment and both out-of-plane crimp and in-plane misalignment were accounted for in the crimp model, misalignment model and real model, respectively. Predicted lamina stiffness based on the real model are found to be in an excellent agreement with available experimental data, which was not always the case for the other three models. The longitudinal and transverse strength predictions are found to be dependent on the chosen local failure criteria for each model. Max-stress and Puck’s fiber failure criteria provide an excellent estimate of longitudinal strength while the Puck’s inter-fiber failure and Tsai-Hill criteria predict transverse strength with good accuracy. The feasibility to accurately predict the mechanical properties of heavy tow non-crimp fabric composites by incorporating their inherent micro-structural defects is demonstrated in this study.

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Virtual testing of composites: Imposing periodic boundary conditions on general finite element meshes

Cited by 18 publications

References 18 publications

Analysis of the correlation between micro-mechanical fields and fatigue crack propagation path in nodular cast iron

Analysis of the correlation between micro-mechanical fields and fatigue crack propagation path in nodular cast iron

A simplified formula to estimate the size of the cyclic plastic zone in metals containing elastic particles

A multiscale framework for predicting the mechanical properties of unidirectional non-crimp fabric composites with manufacturing induced defects

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