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Showing 1 to 20 of 26 for “"Gfem"”.
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Multiscale design of nonlinear materials using a shape optimization scheme based on an interface-enriched GFEM
… Generalized Finite Element Method (NIGFEM) used to capture accurately and efficiently the displacement field in a heterogeneous material with a finite element discretization that does not conform to the material interfaces. Damage evolution is captured using a three-parameter isotropic …
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Multi-scale problems: an improved non-intrusive algorithm that enhances FEA platforms with the generalized finite element method; An improved preconditioned conjugate gradient solver for hierarchical generalized finite element systems of equations
… many commercial softwares. The generalized FEM (GFEM) adds information in the solution process that improves the displacement and stress results, and is not fully available in commercial software, but in third-party software. A GFEM method that transfers small scale information to larger scales …
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Analysis of Three-Dimensional Fracture Mechanics Problems: A Non-Intrusive Approach Using ABAQUS and a Generalized Finite Element Method
… method with global-local enrichment functions (GFEM g-l ) can be implemented non-intrusively in existing closed-source FEM software as an add-on module. The GFEM g-l is based on the solution of interdependent global (structural) and local (crack) scale problems. In the approach presented here, …
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A three dimensional generalized finite element method for thin fibers embedded in a continuum
… a multi-scale Generalized Finite Element Method (GFEM) using global-local enrichment functions (GFEM^{gl}) to overcome these limitations. The methodology is verified by comparing the solution to specific linear elastic problems obtained by using GFEM^{gl} against solutions from the traditional FEM …
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Generalized finite element methods for three-dimensional crack growth simulations
… methods, such as the Generalized FEM (GFEM), are promising candidates to surmount the shortcomings of the standard FEM in crack growth simulations. These methods allow the representation of discontinuities and singularities in the solution via geometrical descriptions of crack surfaces, …
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Improved conditioning and accuracy of a two-scale generalized finite element method for fracture mechanics
… the Generalized/eXtended Finite Element Method (GFEM or XFEM) in solving problems involving cracks, material interfaces or localized stress concentrations in large, complex, three-dimensional domains has been well established in the recent past. The superior properties of the GFEM/XFEM rely on …
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Investigation of stability and accuracy of high order generalized finite element methods
The Generalized Finite Element methods (GFEMs) is a family of discretization methods which are based on the partition of unity (PoU) concept and are able to provide users with flexibility in choosing enrichments to approximate the target problem. The quality of the resulting approximation can be …
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A generalized finite element method for three-dimensional fractures in fiber-reinforced composites
… of the Generalized Finite Element Method (GFEM) for three-dimensional modeling and simulation of crack propagation in fiber-reinforced composites. Fibers are discretely modeled using a modified formulation of the Embedded Reinforcement with bond Slip (mERS) that allows its combination with …
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Simulation intent for multi-fidelity composite structural analysis
… failure analysis models embedded within a GFEM model. As Simulation Intent has not been applied without underlying CAD geometry, a key contribution is defining how equivalent relations are defined and suitable methods for automatic extraction to create an equivalent database, which robustly …
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Development of domain integral and generalized finite element methods for three dimensional analysis of near-surface cracking in flexible pavements
… such as the Generalized Finite Element Method (GFEM), on the discovery and understanding of cracking mechanisms in pavements. GFEM allows for realistic modeling of complex phenomena that control fracture initiation and propagation. In this study, GFEM is adapted to analyze relatively thick …
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Three-dimensional numerical analysis of reflective cracks in airfield pavements
… correspondence principle to the associated GFEM elastic solution. The inversion from the Laplace domain to the physical domain is done numerically using the Fourier series method. In this proposed linear viscoelastic GFEM, adaptive surface triangulations are utilized to ex- plicitly …
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A comparative study of stress intensity factor extraction techniques for the generalized finite element method
Generalized Finite Element Method (GFEM) is a Partition of Unity Method where shape functions are constructed by the product of standard finite element shape function and some additional shape functions. These additional shape functions take the benefit of some prior knowledge of the solution. They …
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An anisotropic displacement correlation method for extraction of stress intensity factors from three-dimensional fractures
… A high-order generalized finite element method (GFEM) approximation is used enriched with $p$-hierarchical polynomials, discontinuous Heaviside functions, and singular crack front functions for the approximate displacement fields. The anisotropic DCM is able to match results against analytical …
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Simulating and diagnosing three-dimensional multistage hydraulic fracturing with the generalized finite element method
… this work, a Generalized Finite Element Method (GFEM) is proposed for the simulation of the hydraulic fracturing process. A distinctive feature of the method is the fact that the mesh does not need to conform to the fracture geometry. Instead, the fracture is defined based on discontinuous and …
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Multiscale analysis of localized, nonlinear, three-dimensional thermo-structural effects
… effects. The method is based on the GFEM with global–local enrichment functions (GFEMgl), which involves the solution of interdependent coarse- (global) and fine-scale (local) problems. The global problem captures coarse-scale behavior, while local problems resolve sharp solution …
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The real space finite element Hartree-Fock method and the thermo-mechanical properties of carbon nanotubes
… (DC) as well as the enriched/generalized FEM (GFEM) and face-based smoothed FEM (FS-FEM) methods to solve the electronic structure problems. The linear-scaling DC partitioning scheme has been used to scale up the method for larger systems with facile parallelization among many processors …
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Three-dimensional modeling of failure in quasi-brittle materials and structures
… of the generalized finite element method (GFEM) to predict the potential for crack propagation in large scale problems such as three-dimensional airfield concrete slabs. A multi-scale approach, using the global-local concept within the GFEM framework (GFEMg-l), is applied to multi-site …
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Computational Design of Microvascular Biomimetic Materials
… domains. The Generalized Finite Element Method (GFEM) is adopted because accurate finite element approximations of the temperature field can be obtained on finite element meshes that are independent of the geometry of the embedded network. Numerical experiments of multi-physics optimization …
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A generalized finite element method for the simulation of non-planar three-dimensional hydraulic fracture propagation
… of the crack surface geometry adopted in the GFEM. This allows the use of completely different meshes at every time step and is much less computationally demanding than volume mappings. One of the main challenges in hydraulic fracture propagation is satisfying the Irwin’s criterion for …
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Computational design of microvascular biomimetic materials
… domains. The Generalized Finite Element Method (GFEM) is adopted because accurate finite element approximations of the temperature field can be obtained on finite element meshes that are independent of the geometry of the embedded network. Numerical experiments of multi-physics optimization …
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