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.
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Showing 1 to 20 of 51 for “"finite element solution"”.
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High Order Finite Element Solution of Elastohydrodynamic Lubrication Problems
In this thesis, a high-order finite element scheme, based upon the Discontinuous Galerkin (DG) method, is introduced to solve one- and two-dimensional Elastohydrodynamic Lubrication (EHL) problems (line contact and point contact). This thesis provides an introduction to elastohydrodynamic …
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An adaptive finite element solution algorithm for the Euler equations
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics, 1988.
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Finite element solution of the S-limit Schrodinger equation of helium
… differential equation. Almost every method of solution is based on the expansion of the unknown solution in terms of a set of known global functions. Only a few calculations, using strictly numerical techniques based on the finite difference method, have been reported. Shorter cycle times and …
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Stabilized finite element solution of optimal control problems in computational fluid dynamics
This thesis discusses the solution of optimal flow control problems, with an emphasis on solving optimal design problems involving blood as the fluid. The discretization of the governing equations of fluid flow is accomplished using stabilized finite element formulations. Although frequently and …
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An axisymmetric finite element solution for elastic wave propagation through threaded connections
An axisymmetric finite element solution method is developed for axial wave propagation through a series of threaded connections in rock drills. A piston impacts axially on a string of rods held together by threaded joints and the wave propagates through these joints before reaching the bit. The …
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Finite element solution of the Navier-Stokes equations for 3-D turbulent free shear flows
… The model is used in a general purpose finite element procedure using primitive variables. The penalty function method is used, in a generalized Galerkin weak formulation of the Navier-Stokes equations, to enforce the conservation of mass. In this procedure the pressure does not …
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Parallel Domain Decomposition Preconditioning for the Adaptive Finite Element Solution of Elliptic Problems in Three Dimensions
… presented which is appropriate for the parallel finite element solution of elliptic partial differential equations in three dimensions. This algorithm allows each processor to be assigned one or more subdomains and, as with most parallel domain decomposition solvers, each processor is able to …
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Finite element solution of interface and free surface three-dimensional fluid flow problems using flow-condition-based interpolation
… of free surfaces, especially when seeking solutions for long time durations. This thesis describes how the difficulty can be overcome by proper employment of an Arbitrary Lagrangian Eulerian (ALE) method derived from the Reynolds transport theorem to compute unsteady Newtonian flows …
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Elastoplastic nonlinear analysis of nozzle-cylinder intersections subjected to internal and external loads
A three-dimensional finite element analysis utilizing quadratic isoparametric elements is applied to the cylindrical connection. The finite element mesh is highly refined in the three principal directions in the critical regions of sharp discontinuity of geometry and material. Convergence of the …
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Boundary conditions for the solution of open-region electromagnetic scattering problems
When solving open-region radiation problems using finite mathematics techniques, an absorbing boundary condition must be used to truncate the mesh region. A review of analytical absorbing boundary conditions that have been derived previously is presented, and an alternate, analytical-type, …
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Computation of interlaminar stresses from finite element solutions to plate theories
… the interlaminar normal stress. Since compatible elements for the plate bending problem at most require the displacement and its first derivatives to be continuous across element boundaries, low degree interpolation polynomials are used. Thus, fourth order derivatives of the finite element …
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Modeling of the in-Plane Biaxial Residual Stresses From Machining
… residual stresses on component geometry. Finite element solution techniques are utilized to predict the part warpage resulting from the machining-induced residual stresses. The predicted results show strong agreement with the experimentation and serve to demonstrate the use of the warpage …
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A Discontinuous Galerkin Method for Higher-Order Differential Equations Applied to the Wave Equation
We propose a new discontinuous finite element method for higher-order initial value problems where the finite element solution exhibits an optimal convergence rate in the L2- norm. We further show that the q-degree discontinuous solution of a differential equation of order m and its first …
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A Hermite Cubic Immersed Finite Element Space for Beam Design Problems
This thesis develops an immersed finite element (IFE) space for numerical simulations arising from beam design with multiple materials. This IFE space is based upon meshes that can be independent of interface of the materials used to form a beam. Both the forward and inverse problems associated …
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An investigation of methods for determining notch root stress from far field strain in notched flat plates.
… when the far field strain is known. A nonlinear finite element solution has also been obtained for notched flat plates in plane stress to facilitate an evaluation of it as an analytical method for calculating the behavior of stresses at the notch root. Experimental results indicate that Neuber's …
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An Eulerian-Lagrangian finite element method for modeling crack growth in creeping materials
… This study is concerned with the development of finite element solution methods for the analysis of quasi-static, ductile crack growth in history-dependent materials. The mixed Eulerian-Lagrangian description (ELD) kinematic model is shown to have several desirable properties for modeling …
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Modelling of welding with various constitutive models for steel
… Leblond et.al. have been implemented into the finite element program ABAQUS. Specific subroutines have been written specifically for each constitutive equation. The material model implementation is based on the implicit solution of stress-strain relations and the derivation of associated …
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Micromechanical finite element model for constitutive elastoplastic analysis of unidirectional fiber-reinforced composites
A micro mechanical finite element model to compute the overall instantaneous stiffness of fiber-reinforced composites in elastic-plastic response is presented. The model is applicable to a periodic diamond array of elastic circular fibers embedded in an elastoplastic matrix subjected to a plane …
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