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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
151

Post-crack and post-peak behavior of reinforced concrete members by nonlinear finite element analysis

Wu, Yi, January 2006 (has links)
Thesis (Ph. D.)--University of Hong Kong, 2006. / Title proper from title frame. Also available in printed format.
152

A heterogeneous flow numerical model based on domain decomposition methods

Zhang, Yi 14 March 2013 (has links)
In this study, a heterogeneous flow model is proposed based on a non-overlapping domain decomposition method. The model combines potential flow and incompressible viscous flow. Both flow domains contain a free surface boundary. The heterogeneous domain decomposition method is formulated following the Dirichlet-Neumann method. Both an implicit scheme and an explicit scheme are proposed. The algebraic form of the implicit scheme is of the same form of the Dirichlet--Neumann method, whereas the explicit scheme can be interpreted as the classical staggered scheme using the splitting of the Dirichlet-Neumann method. The explicit scheme is implemented based on two numerical solvers, a Boundary element method (BEM) solver for the potential flow model, and a finite element method (FEM) solver for the Navier-Stokes equations (NSE). The implementation based on the two solvers is validated using numerical examples. / Graduation date: 2013
153

A numerical study of finite element calculations for incompressible materials under applied boundary displacements

Nagarkal Venkatakrishnaiah, Vinay Kumar 23 August 2006
In this thesis, numerical experiments are performed to test the numerical stability of the finite element method for analyzing incompressible materials from boundary displacements. The significance of the study relies on the fact that incompressibility, or density preservation during deformation, is an important property of materials such as rubber and soft tissue.<p>It is well known that the finite element analysis (FEA) of incompressible materials is less straightforward than for materials which are compressible. The FEA of incompressible materials using the usual displacement based finite element method results in an unstable solution for the stress field. Hence, a different formulation called the mixed u-p formulation (u displacement, p pressure) is used for the analysis. The u-p formulation results in a stable solution but only when the forces and/or stress tractions acting on the structure are known. There are, however, certain situations in the real world where the forces or stress tractions acting on the structure are unknown, but the deformation (i.e. displacements) due to the forces can be measured. One example is the stress analysis of soft tissues. High resolution images of initial and deformed states of a tissue can be used to obtain the displacements along the boundary. In such cases, the only inputs to the finite element method are the structural geometry, material properties, and boundary displacements. When finite element analysis of incompressible materials with displacement boundary conditions is performed, even the mixed u-p formulation results in highly unstable calculations of the stress field. Here, a hypothesis for solving this problem is developed and tested. Theories of linear and nonlinear stress analysis are reviewed to demonstrate that it may be possible to determine the von Mises stress uniquely in spite of the numerical instability inherent in the calculations.<p>To validate this concept, four different numerical examples representing different deformation processes are considered using ANSYS®: a plate in simple shear; expansion of a thick-walled cylinder; a plate in uniform strain; and Cooks membrane. Numerical results show that, unlike the normal stress components Sx, Sy, and Sz, the calculated values of the von Mises stress are reasonably accurate if measurement errors in the displacement data are small. As the measurement error increases, the error in the von Mises stress increases approximately linearly for linear problems, but can become unacceptably large in nonlinear cases, to the point where solution process encounter fatal errors. A quasi-Dirichlet patch test in association with this problem is also introduced.
154

Three-dimensional finite element stress analysis of post-core restored endodontically treated teeth

Song, Guang-Quan 04 May 2005 (has links)
Determination of the stress distributions in post-core restored endodontically treated teeth is challenging due to the fact that the post and core systems, the root and its canal, and the bony structures supporting the root have small dimensions and are structurally complex. In this research, a 3D finite element model was developed to evaluate the stress distributions in a post-core restored endodontically treated maxillary incisor under various static loads. The physical model includes dentin, PDL, bone, post, core, gutta percha and crown. All materials are assumed to be homogenous, isotropic, and linear elastic. The effects of various factors on the stress distributions are investigated through simulations. These factors include post materials, post and core combinations, ferrule heights, post and dentin gaps at the coronal entrance of the canal, and canal diameters. It has been found that the horizontal loading is the most dangerous, which causes the highest stresses in dentin and posts, followed by the oblique loading and the vertical loading. The above listed factors, such as post materials, post and core combinations, ferrule heights, post and dentin gaps at the coronal entrance of the canal, and canal diameters, do not change the stress distributions and magnitudes significantly under horizontal and oblique loading. However, the stresses are sensitive to the above factors under the vertical loading, and it has been found that the stress distributions in both dentin and the post are the most uniform without stress concentrations when the elastic modules of the post and the core are similar to that of dentin. Regarding the effects of the gaps at the cervical region on the stress distributions in dentin, the high stresses at the apical portion of the root and the bottom of the gaps decrease as the increase of the depth of the gap under vertical loading. Overall, the sharp angle and notch of the gap at the coronal entrance of the canal should be avoided in tooth restoration since they can cause stress concentrations. On the effects of the ferrule heights, the changes of the stress distributions in dentin and the post are insignificant except that higher ferrule shows lower stresses at the top of the ferrule. Regarding the effects of the diameters of the posts, the results show that although the posts with large diameters support more loads, they cause high stress concentrations at the apical portion of the root, which is not desirable. / October 2005
155

Control-based Finite-element Model Updating of Structures

Paquet, Paul January 2009 (has links)
Finite-element model updating is the process of using measured data from a structure to update a numerical model representation of the structure. The measured data can represent either the static or dynamic properties of the structure. This document reviews and evaluates several methods of finite-element (FE) model updating, including direct, indirect, and control-based methods for the dynamic case. It is important to have a correct finite-element model obtained using model updating methods either to assess the current condition, or to modify the structure from its current state. In this study, three types of methods were evaluated; direct, indirect, and control based finite-element model updating methods. Each method was first used to update a simple example model for two separate cases. For the first case, the entire set of measured modal parameters were used; and for the second case, only a sub-set of the eigenvalues were used. These examples provide insights into the advantages and disadvantages of various methods. The model updating methods are also used to update a full-scale 42 degree of freedom model. Since it is not practical to measure all the degrees of freedom, the model was reduced using the SEREP model reduction method, down to 18 degrees of freedom. This was done to evaluate the effectiveness of the model updating methods on a real structure. Detailed methodologies and a comparison between the relative advantages and disadvantages between various model updating methods are highlighted in this thesis.
156

Control-based Finite-element Model Updating of Structures

Paquet, Paul January 2009 (has links)
Finite-element model updating is the process of using measured data from a structure to update a numerical model representation of the structure. The measured data can represent either the static or dynamic properties of the structure. This document reviews and evaluates several methods of finite-element (FE) model updating, including direct, indirect, and control-based methods for the dynamic case. It is important to have a correct finite-element model obtained using model updating methods either to assess the current condition, or to modify the structure from its current state. In this study, three types of methods were evaluated; direct, indirect, and control based finite-element model updating methods. Each method was first used to update a simple example model for two separate cases. For the first case, the entire set of measured modal parameters were used; and for the second case, only a sub-set of the eigenvalues were used. These examples provide insights into the advantages and disadvantages of various methods. The model updating methods are also used to update a full-scale 42 degree of freedom model. Since it is not practical to measure all the degrees of freedom, the model was reduced using the SEREP model reduction method, down to 18 degrees of freedom. This was done to evaluate the effectiveness of the model updating methods on a real structure. Detailed methodologies and a comparison between the relative advantages and disadvantages between various model updating methods are highlighted in this thesis.
157

Numerical Modeling of Whiplash Injury

Fice, Jason Bradley January 2010 (has links)
Soft tissue cervical spine (neck) injuries, known as ‘whiplash’, are a leading cause of injury in motor vehicle collisions. A detailed finite element (FE) model of the cervical spine that is able to predict local tissue injury is a vital tool to improve safety systems in cars, through understanding of injury mechanisms at the tissue level and evaluation of new safety systems. This is the motivation for the formation of the Global Human Body Models Consortium, which is a collective of major automotive manufacturers with the goal of producing a detailed FE human body model to predict occupant response in crash. This work builds on an existing detailed cervical spine model, with a focus on improved validation in terms of kinematics and tissue level response. The neck model used in this research represents a 50th percentile male and was developed at the University of Waterloo. The model includes both passive and active musculature, detailed nucleus and annulus models of the discs, rate dependent non-linear ligaments, facet capsules with a squeeze film model of the synovial fluid, and rigid vertebrae with the geometry derived from CT scans. The material properties were determined from published experimental testing and were not calibrated to improve the model response. The model was previously validated at the segment level. In this study, the model was validated for tension loading, local tissue response during both frontal and rear impacts, and head kinematic response during frontal and rear impact. The whole neck model without musculature was exposed to a tensile load up to 300N and the predicted response was within the experimental corridors throughout. The ligament strains and disc shear strains predicted by the model were compared to bench-top cadaver tests. In frontal impact, the ligament and disc strains were within a standard deviation of the experiments 26/30 and 12/15 times respectively. In rear impact, the strains were within a standard deviation of the experiments 9/10 and 12/15 times for the ligaments and discs respectively. All of the ligament strains were within two standard deviation of the experimental average and the disc strains were all within three standard deviations. The global kinematic response of the head for 4g and 7g rear impacts and 7g and 15g frontal impacts was generally a good fit to the experimental corridors. These impact loads are relevant to the low speed impacts that generally cause whiplash. In the global kinematic validation, the model was shown to oscillate more, which is likely due to the lack of soft-tissues such as the skin and fat or the lack of high-rate material data for the intervertebral discs. In rear impact, the head over extended by 17° and 6° for 4g and 7g impacts respectively; this is likely due to difficulties defining the facet gap or lack of uncovertebral joints. Even with these limitations the model response for these varied modes of loading was considered excellent. A review of organic causes of whiplash revealed the most likely sources of whiplash include the capsular ligament, other ligaments, and the vertebral discs. The model was exposed to frontal and rear impacts with increasing severities until the soft tissue strains reached damage thresholds. In frontal impact, these strains started to reach damage values at a 15g impact. The disc annulus fibres were likely injured at 10g in a rear impact, and the ligaments were likely injured at 14g in a rear impact. These impact severities agree with findings from real-life accidents where long term consequences were found in rear impacts from 9g to 15g. The model was used to show that bench-top cadaver impacts under predict strain because they lack active musculature. A number of recommendations have been proposed to improve the biofidelity of the model including perform in-vivo measurement of human facet gaps, incorporate the uncovertebral joints, measure rate-dependent properties for the annulus fibrosus of the disc, include non-structural soft tissues for increased damping, determine a muscle activation strategy that can maintain head posture in a gravity field, and continue to develop relationships between prolonged painful injury and strain in structures of the neck other than the capsular ligaments. Furthermore, it was recommended that the model should be developed further for whiplash injury prediction with out of position occupants.
158

A numerical study of finite element calculations for incompressible materials under applied boundary displacements

Nagarkal Venkatakrishnaiah, Vinay Kumar 23 August 2006 (has links)
In this thesis, numerical experiments are performed to test the numerical stability of the finite element method for analyzing incompressible materials from boundary displacements. The significance of the study relies on the fact that incompressibility, or density preservation during deformation, is an important property of materials such as rubber and soft tissue.<p>It is well known that the finite element analysis (FEA) of incompressible materials is less straightforward than for materials which are compressible. The FEA of incompressible materials using the usual displacement based finite element method results in an unstable solution for the stress field. Hence, a different formulation called the mixed u-p formulation (u displacement, p pressure) is used for the analysis. The u-p formulation results in a stable solution but only when the forces and/or stress tractions acting on the structure are known. There are, however, certain situations in the real world where the forces or stress tractions acting on the structure are unknown, but the deformation (i.e. displacements) due to the forces can be measured. One example is the stress analysis of soft tissues. High resolution images of initial and deformed states of a tissue can be used to obtain the displacements along the boundary. In such cases, the only inputs to the finite element method are the structural geometry, material properties, and boundary displacements. When finite element analysis of incompressible materials with displacement boundary conditions is performed, even the mixed u-p formulation results in highly unstable calculations of the stress field. Here, a hypothesis for solving this problem is developed and tested. Theories of linear and nonlinear stress analysis are reviewed to demonstrate that it may be possible to determine the von Mises stress uniquely in spite of the numerical instability inherent in the calculations.<p>To validate this concept, four different numerical examples representing different deformation processes are considered using ANSYS®: a plate in simple shear; expansion of a thick-walled cylinder; a plate in uniform strain; and Cooks membrane. Numerical results show that, unlike the normal stress components Sx, Sy, and Sz, the calculated values of the von Mises stress are reasonably accurate if measurement errors in the displacement data are small. As the measurement error increases, the error in the von Mises stress increases approximately linearly for linear problems, but can become unacceptably large in nonlinear cases, to the point where solution process encounter fatal errors. A quasi-Dirichlet patch test in association with this problem is also introduced.
159

Computational characterization of adhesive bond properties using guided waves in bonded plates

Koreck, Juergen 25 August 2006 (has links)
This research focuses on the application of guided waves techniques to nondestructively characterize the structural integrity of bonded engineering components. Computational methods are used to examine the properties of multi-layered, adhesive bonded plates. This study quantifies the effect of the adhesive bond parameters (Young's modulus, Poisson's ration and bond thickness) on the dispersion curves. A commercial finite element (FE) code (ABAQUS/Explicit) is used for the numerical model while the global matrix method and the waveguide FE method are used to benchmark the resulting dispersion relationships in the form of a frequency-wavenumber or slowness-frequency relation. The postprocessing of FE data includes the two-dimensional Fourier transform (2D-FFT) and the short-time Fourier transform (STFT). Note that the 2D-FFT and STFT operate on multiple or just one transient output signals of the FE results respectively, while the waveguide FE method uses mass-, damping- and stiffness-matrices to generate the dispersion relations. In the dispersion relations, a set of bond parameter sensitive and FE-visible points is selected. The frequency locations of these points represent the solution criteria for the inversion procedure based on the global matrix method. The capabilities of the inversion process depend on the number of transient output signals from an FE simulation for the forward problem.
160

Finite-Element Analysis of Physical Phenomena of a Lab-Scale Electromagnetic Launcher

Chung, Bummo 10 July 2007 (has links)
As electromagnetic launcher (EML) is an apparatus that uses the electromagnetic (EMAG) force to propel an armature along a rail. An applied electric current, coupled with the resulting magnetic field, creates an EMAG force capable of accelerating an armature to velocities up to several thousand meters per second. The high sliding velocity, coupled with the electric current density, creates extreme thermal conditions at the interface between the rail and the armature that can cause melting at the interface. This project considers a lab-scale EML which is pre-loaded to establish the initial contact between arils and armature. This contact area influences the flow of the electric current and, therefore, it affects the thermal conditions significantly. This work presents a finite-element analysis (FEA) of the aforementioned physical phenomena of the lab-scale EML. This work is aimed at improving the understanding of the armature-to-rail performance and the useful life of an EML by developing a computer simulation which can be used as a design tool to acquire conditiodecoup for the best performance. A two-dimensional structural FEA is used to determine the structural deformation, the contact area, the contact pressure, the von Mises stress, and the material properties of the structural compliance. The vibration characteristics of the lab-scale EML armature are studied using Modal analysis. A three-dimensional electromagnetic FEA is performed to determine the EMAG force. Frictional and Joule heating are determined from a two-dimensional thermal FEA. The commercial finite-element package, ANSYS, is used in the simulation.

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