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A review on the application of particle finite element methods (PFEM) to cases of landslides
A review of the application of Particle Finite Element Methods (PFEM)to cases of rockfall and slope stability is described. The study commences with a summary of the basics of the PFEM, followed by the formulation for Lagrangian Continuum in PFEM, i.e., governing equation, local integration, contact discretization and mesh mapping. Case studies supporting the successful application of the method are also covered. The review revealed that PFEM is a powerful tool that is suitable for geotechnical problems. Nevertheless, it has been noted that the underlying model usually experienced so-called volumetric locking problems, which leads to numerical stiffening and spurious high spatial variability in the solution, resulting into numerical instability. It is believed that volumetric locking is due to the framework failure to satisfy the so-called Babuska-Brezzy conditions, the volumetric locking is also believed to be derived by so-called the equivalent inf-sup condition, as a results of improper finite dimensional space with the finite element discretization. Two methods,Fluid Pressure Laplacian technique (FPL) and Polynomial Pressure Projection (PPP), were adopted to solve the problem withthe latter noted to be the most suitable technique. The Polynomial Pressure Projection (PPP) has been successfully implemented in most cases while the Fluid Pressure Laplacian technique has not been successful reported to be implemented in most geotechnical problems. An overall conclusion of this study is that although there are several encouraging studies associated with the successfulness of PFEM in solving geotechnical problem, but it appears that serious inputs on developing and implementation advanced PFEM framework are required. This study suggested that advanced constitutive models or extending PFEM to deal with poromechanics-based hydromechanical coupling problem with large deformation can be the solution.
A review on the application of particle finite element methods (PFEM) to cases of landslides
A review of the application of Particle Finite Element Methods (PFEM)to cases of rockfall and slope stability is described. The study commences with a summary of the basics of the PFEM, followed by the formulation for Lagrangian Continuum in PFEM, i.e., governing equation, local integration, contact discretization and mesh mapping. Case studies supporting the successful application of the method are also covered. The review revealed that PFEM is a powerful tool that is suitable for geotechnical problems. Nevertheless, it has been noted that the underlying model usually experienced so-called volumetric locking problems, which leads to numerical stiffening and spurious high spatial variability in the solution, resulting into numerical instability. It is believed that volumetric locking is due to the framework failure to satisfy the so-called Babuska-Brezzy conditions, the volumetric locking is also believed to be derived by so-called the equivalent inf-sup condition, as a results of improper finite dimensional space with the finite element discretization. Two methods,Fluid Pressure Laplacian technique (FPL) and Polynomial Pressure Projection (PPP), were adopted to solve the problem withthe latter noted to be the most suitable technique. The Polynomial Pressure Projection (PPP) has been successfully implemented in most cases while the Fluid Pressure Laplacian technique has not been successful reported to be implemented in most geotechnical problems. An overall conclusion of this study is that although there are several encouraging studies associated with the successfulness of PFEM in solving geotechnical problem, but it appears that serious inputs on developing and implementation advanced PFEM framework are required. This study suggested that advanced constitutive models or extending PFEM to deal with poromechanics-based hydromechanical coupling problem with large deformation can be the solution.
A review on the application of particle finite element methods (PFEM) to cases of landslides
Sengani, Fhatuwani (author) / Mulenga, François (author)
International Journal of Geotechnical Engineering ; 16 ; 367-381
2022-03-16
15 pages
Article (Journal)
Electronic Resource
English
A State of the Art Review of the Particle Finite Element Method (PFEM)
| Online Contents | 2020
A State of the Art Review of the Particle Finite Element Method (PFEM)
| Springer Verlag | 2020
| British Library Online Contents | 2017
| British Library Online Contents | 2017