Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 7 of 7 for “"Generalized FEM"”.
-
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 …
-
Non-Intrusive Extension of a Generalized Finite Element Method for Multiscale Problems to the Abaqus Analysis Platform
… 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 global-local enrichments (GFEMgl) …
-
Improved conditioning and accuracy of a two-scale generalized finite element method for fracture mechanics
… 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 established in the recent past. The …
-
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 …
-
Generalized finite element methods for three-dimensional crack growth simulations
… growth using the standard Finite Element Method (FEM) encounters several difficulties. The singularities at crack fronts require strongly refined finite element meshes that must fit the discontinuity surfaces while keeping the aspect ratio of the elements within acceptable bounds. Fully automatic …
-
The real space finite element Hartree-Fock method and the thermo-mechanical properties of carbon nanotubes
… the popular method of the finite element method (FEM) in the electronic structure theory. The finite element method is a very general numerical technique in mathematics for solving partial differential equations (PDEs) and it has been widely applied in computational mechanics and engineering in …
-
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 …