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Showing 1 to 20 of 34 for “"Generalized finite element method"”.
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The Generalized Finite Element Method With Global-Local Enrichment Functions
In this work, we propose a procedure to build enrichment functions to overcome this limitation. It involves the solution of local boundary value problems using boundary conditions from a global problem defined on a coarse discretization. The local solutions are in turn used to enrich the global …
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Convergence analysis of the generalized finite element method with global-local enrichments
Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by William Ingram (wingram2@illinois.edu) on 2010-08-31T20:04:56Z Item is restricted until 2012-08-31T20:04:44Z
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A multi-scale generalized finite element method for sharp, transient thermal gradients
… sharp thermal gradients are analyzed using the generalized finite element method. Convergence studies show that low order (linear and quadratic) elements require strongly refined meshes for acceptable accuracy. The high mesh density leads to small allowable time-step sizes, and significant …
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An adaptive global-local generalized finite element method for transient partial differential equations
Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2024-03-01 without embargo terms
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A generalized finite element method for three-dimensional fractures in fiber-reinforced composites
… in composite materials using standard Finite Element Methods (FEMs) face significant barriers in terms of model generation and problem size. This work presents recent advances of the Generalized Finite Element Method (GFEM) for three-dimensional modeling and simulation of crack …
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From micro-CT TO A NURBS-based interface-enriched generalized finite element method
In the solid mechanic community, the finite element method is widely used to simulate the mechanical or thermal response of materials and structures. In most cases, conforming meshes are used to discretize the simulated geometry. However, this traditional method is not efficient in the analysis of …
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A three dimensional generalized finite element method for thin fibers embedded in a continuum
… and implementation challenge to available Finite Element Methods (FEMs). Meshing a large number of arbitrarily distributed fibers in three dimensions and modeling damage mechanisms, while simultaneously accounting for multi-scale interactions would undermine the feasibility of available FEM …
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Simulating and diagnosing three-dimensional multistage hydraulic fracturing with the generalized finite element method
… remain an open problem. In 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 …
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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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Improved conditioning and accuracy of a two-scale generalized finite element method for fracture mechanics
… structures require accurate response prediction methodologies. The efficacy of 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 …
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An interface-enriched generalized finite element method for the design of actively-cooled microvascular composites
… system with conventional schemes such as the finite element method is the complex microstructure of the microvascular composite and thus the laborious process of creating conforming (matching) meshes. A novel Interface-enriched Generalized Finite Element Method (IGFEM) is proposed and …
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A generalized finite element method for the simulation of non-planar three-dimensional hydraulic fracture propagation
… In the oil and gas industry, it is a preferred method to enhance the recovery of hydrocarbons by creation of permeable pathways. A successful hydraulic fracturing treatment may increase the production tens of times, making the technique economically attractive. Yet, there are concerns about the …
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Non-Intrusive Extension of a Generalized Finite Element Method for Multiscale Problems to the Abaqus Analysis Platform
… interest and, therefore, necessitate advanced hp finite element discretizations. Although hp-FEM is unavailable off-the-shelf in many predominant commercial analysis software packages, a novel method is proposed herein which is used to introduce these capabilities via the generalized FEM with …
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Analysis of Three-Dimensional Fracture Mechanics Problems: A Non-Intrusive Approach Using ABAQUS and a Generalized Finite Element Method
This report shows that the so-called generalized finite element 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 …
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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
The finite element method (FEM) discretizes an object of interest, say a cube, and solves for its dis placement and stress under a certain loading. The FEM is used by many commercial softwares. The generalized FEM (GFEM) adds information in the solution process that improves the displacement and …
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An anisotropic displacement correlation method for extraction of stress intensity factors from three-dimensional fractures
A displacement correlation method (DCM) for the extraction of stress intensity factors (SIFs) from three-dimensional fractures in anisotropic bodies is presented in this work. The proposed anisotropic DCM is able to handle materials with rectilinear anisotropy in bodies with arbitrary crack …
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Advanced finite-element techniques for simulation of composite materials and large-scale scattering problems
… dissertation aims at developing sophisticated finite-element based numerical algorithms for efficient electromagnetic modeling and design of composite materials, fast frequency-domain scattering analysis of electrically large problems on massive parallelized computers, and efficient broadband …
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Computational Design of Microvascular Biomimetic Materials
… using Genetic Algorithms (GAs), the most common methodology within a broader category of Evolutionary Algorithms (EAs). GAs can be combined with a Pareto-selection mechanism to create Multi-Objective Genetic Algorithms (MOGAs), which enable the optimization of an arbitrary number of objective …
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IGFEM-based reduced-order modeling and design of nonlinear composites
… is developed using an Interface-enriched Generalized Finite Element Method (IGFEM). Cohesive interfacial failure and damage mechanisms in the constituents are the primary source of nonlinearity and the shape of material interfaces and nonlinear damage parameters are the key design …
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Exploring the link between microstructure statistics and transverse ply fracture in carbon/epoxy composites
… and implemented using the direct differentiation method implemented in a C++ Interface-enriched Generalized Finite Element Method (IGFEM) framework. Emphasis is placed on extracting the sensitivity of the transverse failure response with respect to the two material parameters that characterize the …
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