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Results for “Finite Element Analysis”

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PubMed1993

[Prevention of human birth trauma I. Computer-assisted simulation of delivery using magnetic resonance tomography and finite element analysis].

Imaging procedures suitable for diagnosis of cephalopelvic disproportion, such as radiological pelvimetry, computer- or magnetic resonance imaging (MRI) fail to reflect the dynamics of delivery, including deformations of the birth channel as well as of foetal structures. In order to validate findings of imaging procedures in this respect, a method has been developed to perform dynamic, biomechanical postprocessing of the static information obtained from MRI. Using a specially developed software MRI pixel, matrices of the maternal pelvis and the foetal head were colour-coded and--according to the principle of equal density--line data were created. After sectional attribution of the resulting polygones, a three-dimensional mesh of so called Finite Elements (FE) was created, which can then be used for deformation analysis. The foetal head was then moved through the birth channel by means of computed simulation. This allows not only ongoing deformations to be visualised, but also resulting forces can be calculated at any time of the delivery process for any point of the anatomical model. Furthermore, these calculations can be performed assuming various conditions such as different cephalopelvic dimensions and various labour forces or biomechanical properties of the tissues involved. This paper aims at presenting the method and its mode of working by means of one example of a computed birth simulation.

Adult↗

PubMed2001

A finite element analysis of the time-delay periodic ring arrays for guided wave generation and reception in hollow cylinders.

A new guided wave transducer model, time-delay periodic ring arrays (TDPRAs), is proposed and investigated in this paper for guided cylindrical wave generation and reception in hollow cylinders with application interests focusing on non-destructive testing (NDT) of piping/tubing. A finite element simulation has been performed for axisymmetric guided-mode excitation and reception with TDPRAs. By arranging a proper configuration of the time-delay profile and the electric-connection pattern of a ring array, unidirectional excitation and reception of guided waves can be achieved. The numerical results are obtained for the first three axisymmetrical modes and are compared with respect to generation efficiency and mode selectivity. Parametric influences on the performance of TDPRAs are discussed, combining a 2-D phase velocity-frequency spectrum approach with the mode dispersion and displacement structure analyses. The identification of converted modes in guided cylindrical wave reflections with a flexible TDPRA receiver has also been studied through sample notch reflection.

Journal Article↗

PubMed1992

A finite element analysis of the indentation stress-relaxation response of linear biphasic articular cartilage.

The indentation problem of a thin layer of hydrated soft tissue such as cartilage or meniscus by a circular plane-ended indenter is investigated. The tissue is represented by a biphasic continuum model consisting of a solid phase (collagen and proteoglycan) and a fluid phase (interstitial water). A finite element formulation of the linear biphasic continuum equations is used to solve an axisymmetric approximation of the indentation problem. We consider stress-relaxation problems for which analytic solution is intractable; where the indenter is impermeable (solid) and/or when the interface between the indenter and tissue is perfectly adhesive. Thicknesses corresponding to a thin and thick specimen are considered to examine the effects of tissue thickness. The different flow, pressure, stress and strain fields which are predicted within the tissue, over time periods typically used in the mechanical testing of soft tissues, will be presented. Results are compared with the case of a porous free-draining indenter with a perfectly lubricated tissue-indenter interface, for which an analytic solution is available, to show the effects of friction at the tissue-indenter interface, and the effects of an impermeable indenter. While these effects are present for both thin and thick tissues, they are shown to be more significant for the thin tissue. We also examine the effects of the stiffness of the subchondral bone on the response of the soft tissue and demonstrate that the subchondral bone substrate can be modeled as a rigid, impermeable boundary. The effects of a curved tissue-subchondral bone interface, and the early time response are also studied. For physiologically reasonable levels of curvature, we will show that the curved tissue-subchrondal bone interface has negligible influence on the tissue response away from the interface. In addition, the short-time stress-relaxation responses of the tissue (e.g., at times less than 1s) demonstrate the essential role of the fluid phase in supporting the load applied to the tissue, and by extrapolation to shorter times characteristics of normal joint motion, suggest the essential role of a biphasic model in representing soft tissue behavior in joint response.

Biomechanical Phenomena↗

PubMed1994

The finite element analysis of stress in the periodontal ligament when subject to vertical orthodontic forces.

In the past, vertical intrusive movement of teeth has been considered difficult and most routine clinical vertical movement of teeth has been confined to extrusion. It has been suggested that attempts at intrusion may result in an increased incidence of root resorption and also in occasional devitalization. The displacement and resulting stress fields associated with such treatment can be successfully studied using the finite element method. In the case being considered initial movements are known to be small; therefore, the assumption in the study that the material behaves linear-elastically is considered to be reasonable. This study of vertical tooth movement demonstrated that the maximum cervical margin stress in the periodontal ligament was 0.0046 N/mm2, whilst the highest apical stress was 0.00205 N/mm2 when intrusive and extrusive forces of 1 Newton were applied to the buccal surface of the crown of a tooth model. These stresses were evaluated in the light of previous studies and found to be within the suggested clinical optimum level. However, the periodontal stress distribution following orthodontic loading within this three-dimensional finite element model was found to be highly complex.

Cuspid↗

PubMed2001

A finite element analysis of hollow stemmed hip prostheses as a means of reducing stress shielding of the femur.

Stress shielding of the femur is known to be a principal factor in aseptic loosening of hip replacements. This paper considers the use of a hollow stemmed hip implant for reducing the effects of stress shielding, while maintaining acceptably low levels of stress in the cement. Using finite element modelling, the stresses in the proximal femur using different shapes of hollow stem were compared with those produced using comparable sizes of solid stem with different values of elastic modulus. A reduction in stress shielding could be achieved with a hollow stem. A cylindrical hollow stem design was then optimised in order to control the maximum allowable stress in the cement, the minimum allowable stresses in the bone, and a combination of the two. The resulting stems achieved an increase in proximal bone stress of about 15% for the first case and 32% for a model using high strength cement, compared with solid stems of the same nominal outside diameter. The gains of these theoretically optimised designs dropped off rapidly further down the stem. Linearly tapered hollow stems reached a 22% gain, which could be a good compromise between acceptable cement stresses and ease of manufacture.

Femur↗

PubMed1997

Red cell distortion and conceptual basis of diffusing capacity estimates: finite element analysis.

To understand the effects of dynamic shape distortion of red blood cells (RBCs) as it develops under high-flow conditions on the standard physiological and morphometric methods of estimating pulmonary diffusing capacity, we computed the uptake of CO across a two-dimensional geometric capillary model containing a variable number of equally spaced RBCs. RBCs are circular or parachute shaped, with the same perimeter length. Total CO diffusing capacity (DLCO) and membrane diffusing capacity (DMCO) were calculated by a finite element method. DLCO calculated at two levels of alveolar PO2 were used to estimate DMCO by the Roughton-Forster (RF) technique. The same capillary model was subjected to morphometric analysis by the random linear intercept method to obtain morphometric estimates of DMCO. Results show that shape distortion of RBCs significantly reduces capillary diffusive gas uptake. Shape distortion exaggerates the conceptual errors inherent in the RF technique (J. Appl. Physiol. 79: 1039-1047, 1995); errors are exaggerated at a high capillary hematocrit. Shape distortion also introduces additional error in morphometric estimates of DMCO caused by a biased sampling distribution of random linear intercepts; errors are exaggerated at a low capillary hematocrit.

Algorithms↗

PubMed1997

Finite element analysis of anterior cervical spine interbody fusion.

The present study investigated the external and the internal biomechanical responses of anterior cervical discectomy coupled with fusion. Five different types of interbody fusion materials were used: titanium core, titanium cage, tricortical iliac crest, tantalum core, and tantalum cage. Two different types of surgical procedures were analyzed: Smith-Robinson and Bailey-Badgley. A validated three-dimensional anatomically accurate finite element model of the human cervical spine was used in the study. The finite element model was exercised in compression, flexion, extension, and lateral bending for the intact case and for the two surgical procedures with five implant materials. The external response in terms of the stiffness and angular rotation, and the internal response in terms of the disc and the vertebral stresses were determined. The Smith-Robinson technique resulted in the highest increase in external response under all modes of loading for all implant materials. In contrast, the Bailey-Badgley technique produced a higher increase in the disc and the vertebral body stresses than the Smith-Robinson technique. As experimental human cadaver tests can only determine the external response of the non-fused spine simulating immediate post-operative structure, the present finite element studies assist in the understanding of biomechanics of interbody fusion by delineating the changes in the extrinsic and intrinsic characteristics of the cervical spine components due to surgery.

Biomechanical Phenomena↗

PubMed1995

[Three-dimensional finite element analysis of blowout fractures].

There are a number of theories as to how orbital fractures come about, but there are still a lot of unanswered questions regarding the dynamic characteristics of the orbit at the time of the fracture. To answer these questions, we analyzed the degree and concentration of stress within the orbit depending on the loads placed upon it. We used a computer to create a three-dimensional finite element model which could simulate the orbital fracture process. We found that direct force applied against the inferior orbital rim by forces outside the eye results in increased stress within the lower wall of the orbit, and that stress tends to concentrate in the thin nasal side of the orbital groove as pressure within the orbit mounts. When we compared these findings with clinical cases of orbital fracture, it became clear that the best way to explain the clinical data is by reference to the combined effect of direct force applied against the inferior orbital rim by elements outside the eye and the buildup of internal pressure within the orbit.

Computer Simulation↗

PubMed2004

Finite element analysis on piezoelectric ring transformer.

The use of a piezoelectric ring as transformer is reported and studied in this paper. By using a concentric electrode pattern, a ring-shaped transformer can be designed to operate at its high order extensional modes. Lead zirconate titanate (PZT) ceramic rings with 12.7-mm outer diameter, 5.1-mm inner diameter and 1.2-mm thickness were used to fabricate the prototypes. Three-dimensional (3-D) finite element models are built to study and analyze the vibration characteristics of the piezoelectric transformers (PTs) using higher order modes (>3). The resonant frequencies, mean coupling effect, mode shapes, and other open-circuit characteristics are simulated and compared with experimental measurements. Prototypes of PTs using mode order three and four were fabricated and characterized. Good agreement can be obtained between experimental results and finite element model (FEM) simulations. The dimensions for the PTs using higher order symmetric extensional modes are optimized by FEM. To avoid mode coupling with the thickness mode, the ideal ring thickness has to be less than or equal to 0.6 mm. The ring PT offers advantages of simple structure and small size. It has a good potential in making low cost PT for low-voltage applications.

Journal Article↗

PubMed1992

Finite element analysis (FEA) studies in 2.5-mm round bar design: the effects of bar length and material composition on bar failure.

The round bar/overdenture prosthesis is commonly used in the restoration of the totally edentulous implant patient. The length of bar span and types of alloys used in clinical cases have raised questions related to beam flexure and its role as a possible etiology of reported clinical failures in cast alloy systems. Three-dimensional finite element analyses were thus conducted on a 2.5-mm round bar for investigation of mechanical performance with respect to failure potential as a function of bar length and bar material property. Specifically, three bar lengths (6 mm, 12 mm, and 18 mm) and three alloy materials were analyzed, representing a clinical range of usage. The ends of each bar were modeled fixed to a 2.5-mm coping which was attached to a 3.8-mm root-form-type implant. The implant was modeled rigidly fixed in a representative block of bone. A 200-N occlusal force was applied to the model, as would be transmitted through an attachment clip, 5 mm in length, for the three respective bar lengths. The results of these analyses suggested possible yielding (or failure) in the 18-mm case. Bar length was found to play a stronger role in the adequacy of the overall design as compared with changing material properties in the range of alloy stiffnesses tested. Factors of safety with respect to static yield strength ranged from 2.82 to 66.46 for the designs evaluated. Fatigue factors of safety ranged from 1.63 to 38.88. A factor of safety of 5 or greater is suggested for the design of round bar systems in order for bar failure to be prevented.

Computer Simulation↗

PubMed1993

A three-dimensional, finite-element analysis of bone around dental implants in an edentulous human mandible.

The design of dental superstructures influences the loading on dental implants and the deformation of the anterior interforaminal bone in an edentulous mandible. This deformation causes stress in the bone around the implants and may lead to bone resorption and loss of the implant. The stress distribution around dental implants in an edentulous mandible was calculated by means of a three-dimensional, finite-element model of an entire lower jaw. This model was built from data obtained from slices of a single human mandible and was provided with two endosseous implants in the interforaminal region. The implants were either connected with a bar or remained solitary, and were loaded with a horizontal bite force of 10 N, a vertical bite force of 35 N, or an oblique bite force of 70 N. The most extreme principal stresses in the bone were always located around the neck of the implant. Stress around the implant was, therefore, not only caused by the local deformation of the bone due to movement of the implant and interface relative to the surrounding bone but also by the bending of the mandible. The most extreme principal stress was found with oblique bite forces. The highest maximum and lowest minimum principal stresses were 7.4 and -16.2 MPa in the model without the bar and 6.5 and -16.5 MPa in the model with the bar. When differences in the amount of bite force were eliminated, the vertical bite force resulted in the lowest stress.(ABSTRACT TRUNCATED AT 250 WORDS)

Bite Force↗

PubMed2001

Design optimization of cementless femoral hip prostheses using finite element analysis.

Implant separation from bone tissue, resulting in the necessity for revision surgery, is a serious drawback of cementless total joint replacement. Unnatural stress distribution around the implant is considered the main reason for the failure. Optimization of the implant properties, especially its geometric parameters, is believed to be the right way to improve reliability of joint prosthetics. An efficient numerical model of thefemur-implant system is presented in the paper, including the finite element formulation featuring computation of sensitivity gradients, parametric mesh generator, and a gradient-based optimization scheme. Numerical examples show results of shape optimization of an implant for two sets of design parameters and for the initial stability criterion taken as the optimization goal. The optimum shape appears to be relatively long and proximally porous-coated on about half of its length. The method can be flexibly adjusted to various implant types, stress- and displacement-based optimum criteria, and geometric design parameters.

Biomechanical Phenomena↗

PubMed2006

Mass transfer limitations at crystallizing interfaces in an atomic force microscopy fluid cell: a finite element analysis.

Although atomic force microscopy (AFM) has emerged as the preeminent experimental tool for real-time in situ measurements of crystal growth processes in solution, relatively little is known about the mass transfer limitations that may impact these measurements. We present a continuum analysis of flow and mass transfer in an atomic force microscope fluid cell during crystal growth, using data acquired from calcium oxalate monohydrate (COM) crystal growth measurements as a comparison. Steady-state flows and solute concentration fields are computed using a three-dimensional, finite element method implemented on a parallel supercomputer. Steady-state flow results are compared with flow visualization experiments to validate the model. Computations of the flow field demonstrate how nonlinear momentum transport alters the spatial structure of the flow with increasing flow volume, altering mass transport conditions near the AFM cantilever and tip. The simulations demonstrate that the combination of solute depletion from crystal growth and mass transfer resistance lowers the solute concentration in the region between the tip and the crystal compared with the solute concentration at the inlet of the AFM cell. For example, using experimentally measured growth rates for COM, the solute concentration in this region is 3.1% lower than the inlet value because the solute consumed by crystal growth beneath the AFM tip cannot be replenished fully due to mass transport limitations. The simulations also reveal that increasing the flow rate through the cell does not affect this difference significantly because of the inherent shielding by the AFM tip in proximity with the crystal surface. Models such as the one presented here, used in conjunction with AFM measurements, promise more precise interpretations of measurement data.

Journal Article↗

PubMed2001

Finite element analysis of flowfield in the single hole film cooling technique.

Film cooling is currently used in gas turbine hot sections, such as the combustor wall and the turbine blades, to prevent those sections from failing at elevated temperatures. In the single hole film cooling method, coolant air is injected from a hole into the mainstream and thus the flow is naturally three dimensional. In this paper, the Navier-Stokes and the energy equations are solved on a flat plate by the Finite Element Method (FEM) using brick elements. Algebraic equations are obtained by use of the Petrov-Galerkin method. The pressure term is removed from the momentum equations, by employing the Penalty method. The governing equations are transient and the flow is incompressible and turbulent. The model of turbulence in the near wall region is the wall function method, and in the fully turbulent region is the k-epsilon model. The system of the algebraic equations are solved by the Frontal method. The coolant injection angle and the blowing rate are among the parameters which are studied. In order to examine the present computer code, the results are compared with the Blasius (exact) solution and also with the empirical 1/7th power-law and good agreement is shown. Also, the optimum cooling performance is shown to be at 35 degree angle of coolant injection and the optimum blowing rate is 0.5. The film cooling effectiveness data, at the optimum conditions, is directly compared with the experimental results of Goldstein et al. and good agreement is demonstrated.

Journal Article↗

PubMed1990

The finite element analysis of brain oedema associated with intracranial meningiomas.

The mathematical model of vasogenic brain oedema, which was presented at the previous meeting in 1987, was applied to the analysis of peritumoural brain oedema associated with meningiomas. Magnetic resonance images of 90 patients with intracranial meningiomas were reviewed to analyze the spatial extension of peritumoural brain oedema. It is assumed that the heterogeneous pattern of distribution of peritumoural oedema reflects the variability of the compact density of the fibers in the white matter. A two dimensional finite element model was constructed with 786 triangular elements from a horizontal section of the human brain. The development of oedema, the change of interstitial pressure, the deformation of the brain and the absorption of oedema fluid could be simulated by the finite element method. The result of computer simulation represented interactive behaviour of the brain tissue, extracellular fluid, and cerebrospinal fluid in the clinical situation. The finite element method (FEM) may provide a new experimental tool to analyze the pathophysiology of vasogenic brain oedema.

Brain↗

PubMed1989

A finite-element analysis of the effects of intertrochanteric osteotomy on stresses in femoral head osteonecrosis.

The efficacy of osteotomy for the precollapse stage of femoral head necrosis depends on altering load transmission. The alteration must reduce the stress levels on the infarcted bone during the process of repair. The prospects for success in this regard would likely be improved by the ability to predict reliably the stress changes derived from specific osteotomies for specific femoral head involvement patterns. For this reason, an anatomic three-dimensional finite-element model has been designed to compute necrotic femoral head stress changes that accompany varus, valgus, and rotational osteotomies. Four specific patterns of femoral head infarction are considered. Comparison of the patterns of load transmission at ten discrete instants (spanning the stance phase of the gait cycle) revealed that the critical stresses in the most commonly infarcted anterolateral and central femoral head regions occur just after the instant of heel-strike. For the femoral head with a deep, narrow lesion in the weight-bearing tract, and for classic wedge-shaped segmental infarct, the data showed that 30 degrees varus osteotomy was beneficial in reducing stress levels through much of the infarcted region. The 30 degrees valgus osteotomy was less successful. Neither 30 degrees anteversion nor 30 degrees retroversion osteotomies caused substantial changes in stresses for infarcted regions along the weight-bearing tract. For the case of a wide, shallow lesion or for whole femoral head involvement, none of the four osteotomies considered was able to achieve appreciable net reduction of stresses in weakened, infarcted regions.

Adult↗

PubMed2000

Is BMU-coupling a strain-regulated phenomenon? A finite element analysis.

Histologically, two types of bone reconstruction are distinguished: modeling and remodeling. Modeling changes the amount of bone and determines its geometrical form in relation to the prevailing mechanical loads and their resulting deformation (strain). Remodeling renews existing bone in a sequence of resorption and formation. However, in both processes the cells responsible for resorption and formation are the same: osteoclasts and osteoblasts. We studied if there is a relation between the activity of these cells and the deformation of the local bone tissue during remodeling. Two finite element models were built on a microscopic, supracellular level: (1) a secondary osteon in cortical bone and (2) a Howship's lacuna in a trabecula. Both models were loaded in the "natural," that is, longitudinal direction. Equivalent strains were determined as a measure for the deformation of the bone tissue. In the first model, the strain field around the osteon showed a region of decreased deformation in front of the tunnel, just where osteoclasts excavate cortical bone tissue. Behind the cutting cone, elevated strain levels appear in the tunnel wall at locations where osteoblasts are active. The second model showed that a local excavation of a loaded trabecula leads to higher strains at the bottom of the lacuna, where resorption is stopped and osteoblasts are recruited to refill the gap. However, in the direction of loading reduced strain levels appear, just where resorption continues to proceed along the trabecular surface. We conclude that at the tissue level, strain distributions occur during the remodeling process that show a relationship to the activity of osteoblasts and osteoclasts. This suggests that BMU coupling, that is, the subsequent activation of osteoclasts and osteoblasts during remodeling, is a strain-regulated phenomenon.

Animals↗

PubMed1995

Finite element analysis of the stress distributions in the proximal end of the femur after stabilization of a pertrochanteric model fracture: a comparison of two implants.

The study investigated the influence of two different implants--the dynamic hip screw (AOR) 135 degrees with 2-hole-plate and the 135 degrees gamma-nail (HowmedicaR)--on the resulting stress and strain distributions in the proximal femur after stabilization of an idealized trochanteric fracture under typical physiological loading conditions. Data recorded for the uninjured femur were used for comparison. Two-dimensional plane stress finite element models of the femur and the implants were used for the calculations. The three-dimensional nature of this problem was approximated by an appropriate distribution of element thickness according to the real geometry in combination with an overlay technique, superimposing special finite element layers for each constituent of the bone-implant system (i.e. steel, cortical and cancellous bone). Three variations of the idealized fracture were introduced, i.e. free, with callous and bony bridging, the screw being modelled in a movable ('dynamic') as well as in a locked state. As far as the resulting stress distributions are concerned, neither of the two implants proved to be significantly superior to the other for stabilization of the idealized fracture selected.

Bone Nails↗