Numerical simulation of the failure of composite materials by using the grid-characteristic method

Beklemysheva, K. A.; Vasyukov, A. V.; Ermakov, A. S.; Petrov, I. B.

doi:10.1134/s2070048216050033

Cited by 20 publications

(5 citation statements)

References 12 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The assumptions of small strains and linear elasticity up to destruction are generally valid for rigid composites during high speed interactions [10]. Other materials may show different behaviour, in this case they will not be covered by the model presented in this work.…”

Section: Assumptionsmentioning

confidence: 99%

Numerical modeling of thin anisotropic composite membrane under dynamic load

Aksenov,

Vasyukov,

Petrov

2020

Preprint

View full text Add to dashboard Cite

This work aims to describe a mathematical model and a numerical method to simulate a thin anisotropic composite membrane moving and deforming in 3D space under a dynamic load of an arbitrary time and space profile. The model and the method allow to consider problems when quasi static approximation is not valid, and elastic waves caused by the impact should be calculated. The model and the method can be used for numerical study of different processes in thin composite layers, such as shock load, ultrasound propagation, non-destructive testing procedures, vibrations. The thin membrane is considered as 2D object in 3D space, this approach allows to reduce computational time still having an arbitrary material rheology and load profile.

show abstract

Section: Assumptionsmentioning

confidence: 99%

Numerical modeling of thin anisotropic composite membrane under dynamic load

Aksenov,

Vasyukov,

Petrov

2020

Preprint

View full text Add to dashboard Cite

show abstract

“…The assumptions of small strains and linear elasticity up to destruction are generally valid for rigid composites during high-speed interactions (22) . Other materials may show different behaviour; in this case, they will not be covered by the model presented in this work.…”

Section: Assumptionsmentioning

confidence: 99%

“…The fictitious nodal forces are summed too, and, obviously, the sum equals zero in case of equilibrium. Eventually, one arrives at the following equation for the whole domain, analogous to Equation (22):…”

Section: Global Equations Assemblymentioning

confidence: 99%

“…Only small strains are considered. Cauchy’s strain tensor in the following form is used: We suppose that the materials are subject to Hooke’s law at the deformation rates considered: The assumptions of small strains and linear elasticity up to destruction are generally valid for rigid composites during high-speed interactions (22) . Other materials may show different behaviour; in this case, they will not be covered by the model presented in this work.…”

Section: Mathematical Modelmentioning

confidence: 99%

See 1 more Smart Citation

Numerical modelling of thin anisotropic membrane under dynamic load

2020

View full text Add to dashboard Cite

This work aims to describe a mathematical model and a numerical method to simulate a thin anisotropic membrane moving and deforming in 3D space under a dynamic load of an arbitrary time and space profile. The anisotropic continuum medium model described in the article can be used to model a membrane made of composite material using its effective elastic parameters. The model and the method allow the consideration of problems when the quasi-static approximation is not valid and elastic waves caused by the impact should be calculated. The model and the method can be used for numerical study of different processes in thin composite layers, such as shock load, ultrasound propagation, non-destructive testing procedures and vibrations. The thin membrane is considered as a 2D object in 3D space, an approach that allows a reduction in the computational time compared with full 3D models, while still having an arbitrary material rheology and load profile.

show abstract

“…The mechanical properties of the polymer matrix are influenced by temperature, rate of strain, and loading, and are typically presented as an elasto-plastic curve using isotropic hardening and Von Mises stresses. The degradation in material stiffness is incorporated until material failure occurs [25,26]. On the other hand, carbon fibres exhibit isotropic properties that are typically independent of the rate of strain [27,28], while GFs that depend on strain rate are isotropic [22].…”

Section: Introductionmentioning

confidence: 99%

Hybrid Finite Element–Smoothed Particle Hydrodynamics Modelling for Optimizing Cutting Parameters in CFRP Composites

et al. 2023

View full text Add to dashboard Cite

Carbon-fibre-reinforced plastic (CFRP) is increasingly being used in various applications including aerospace, automotive, wind energy, sports, and robotics, which makes the precision modelling of its machining operations a critical research area. However, the classic finite element modelling (FEM) approach has limitations in capturing the complexity of machining, particularly with regard to the interaction between the fibre–matrix interface and the cutting edge. To overcome this limitation, a hybrid approach that integrates smoothed particle hydrodynamics (SPHs) with FEM was developed and tested in this study. The hybrid FEM-SPH approach was compared with the classic FEM approach and validated with experimental measurements that took into account the cutting tool’s round edge. The results showed that the hybrid FEM-SPH approach outperformed the classic FEM approach in predicting the thrust force and bounce back of CFRP machining due to the integrated cohesive model and the element conversion after failure in the developed approach. The accurate representation of the fibre–matrix interface in the FEM-SPH approach resulted in predicting precise chip formation in terms of direction and morphology. Nonetheless, the computing time of the FEM-SPH approach is higher than the classic FEM. The developed hybrid FEM-SPH model is promising for improving the accuracy of simulation in machining processes, combining the benefits of both techniques.

show abstract

Numerical simulation of the failure of composite materials by using the grid-characteristic method

Cited by 20 publications

References 12 publications

Numerical modeling of thin anisotropic composite membrane under dynamic load

Numerical modeling of thin anisotropic composite membrane under dynamic load

Numerical modelling of thin anisotropic membrane under dynamic load

Hybrid Finite Element–Smoothed Particle Hydrodynamics Modelling for Optimizing Cutting Parameters in CFRP Composites

Contact Info

Product

Resources

About