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Three-dimensional Finite Element Analysis (three-dimensional + finite_element_analysis)
Selected AbstractsThree-dimensional finite element analyses of passive pile behaviourINTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS, Issue 7 2006L. F. Miao Abstract Piles may be subjected to lateral soil pressures as a result of lateral soil movements from nearby construction-related activities such as embankment construction or excavation operations. Three-dimensional finite element analyses have been carried out to investigate the response of a single pile when subjected to lateral soil movements. The pile and the soil were modelled using 20-node quadrilateral brick elements with reduced integration. For compatibility between the soil,pile interface elements, 27-node quadrilateral brick elements with reduced integration were used to model the soil around the pile adjacent to the soil,pile interface. A Mohr,Coulomb elastic,plastic constitutive model with large-strain mode was assumed for the soil. The analyses indicate that the behaviour of the pile was significantly influenced by the pile flexibility, the magnitude of soil movement, the pile head boundary conditions, the shape of the soil movement profile and the thickness of the moving soil mass. Reasonable agreement is found between some existing published solutions and those developed herein. Copyright © 2005 John Wiley & Sons, Ltd. [source] Three-dimensional analysis of single pile response to lateral soil movementsINTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS, Issue 8 2002J. L. Pan Abstract Three-dimensional finite element analysis was carried out to investigate the behaviour of single piles subjected to lateral soil movements and to determine the ultimate soil pressures acting along the pile shaft. The finite element analysis program ABAQUS was used for the analysis and run on a SUN Workstation. The von Mises constitutive model was employed to model the non-linear stress,strain soil behaviour. The pile was assumed to have linear elastic behaviour. This was considered to be a reasonable approximation, as the maximum stress developed in the pile did not exceed the yield stress of the concrete pile. The length of the pile is 15 m, the width of the square pile is 1 m. The three-dimensional finite element mesh used in the analysis was optimized taking into account the computing capacity limitations of the Sun Workstation. The computed ultimate soil pressures agreed well with those from the literature. The shapes of the soil pressure versus soil movement curves and the soil pressure versus the relative soil,pile displacement curves as well as the magnitude of the relative soil,pile displacement to mobilize the ultimate soil pressures were in reasonable agreement with those reported by other researchers. Copyright © 2002 John Wiley & Sons, Ltd. [source] Three-dimensional finite element analysis of the interaction between tunneling and pile foundationsINTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS, Issue 3 2002H. Mroueh Abstract This paper concerns analysis of the impact of construction of urban tunnels on adjacent pile foundations. It is carried out using an elastoplastic three-dimensional finite element modelling. Numerical simulations are performed in two stages, which concern, respectively, the application of the pile axial loading and the construction of the tunnel in presence of the pile foundations. Analysis is carried out for both single piles and groups of piles. Results of numerical simulations show that tunneling induces significant internal forces in adjacent piles. The distribution of internal forces depends mainly on the position of the pile tip regarding the tunnel horizontal axis and the distance of the pile axis from the centre of the tunnel. Analysis of the interaction between tunneling and a group of piles reveals a positive group effect with a high reduction of the internal forces in rear piles. Copyright © 2002 John Wiley & Sons, Ltd. [source] Three-dimensional finite element analysis of lined tunnelsINTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS, Issue 3 2001C. E. Augarde Abstract This paper describes finite element procedures that have been developed to model the ground movements that occur when a shallow tunnel is installed in a clay soil. This study is part of a wider project concerned with the development of new methods to predict the likely extent of damage to surface structures caused by nearby shallow tunnelling. This particular paper, however, is concerned only with the numerical model of tunnel installation. The structural liner is an important component of this tunnel installation model; two different ways of modelling the liner (based on continuum elements and shell elements) are discussed in the paper. A test problem consisting of the installation of a lined tunnel in an elastic continuum is used to investigate the merits of these different approaches. When continuum elements are used to model the liner, the numerical results agree well with an analytical solution to the problem. When shell elements are used to model the liner, however, the results were found to be significantly influenced by the particular formulation adopted for the shell elements. Example analyses, involving incremental tunnel construction in a clay soil where the soil is modelled using a kinematic hardening plasticity model, are described. These analyses confirm that a thin layer of continuum elements may be used, satisfactorily, to model tunnel linings in a soil,structure interaction analysis of this sort. Copyright © 2001 John Wiley & Sons, Ltd. [source] Three-dimensional finite element analysis of the facial skeleton on simulated occlusal loadingJOURNAL OF ORAL REHABILITATION, Issue 7 2001Martin D. Gross Development of predictive models of occlusal loading of the facial skeleton will be of value for prosthetic design in oral rehabilitation. A 3-D finite element (FE) model of a human skull, based on CT scans, was constructed to analyse strain and stress distribution in the facial skeleton caused by simulated occlusal loading. Vertical loads were applied simulating loading of the full maxillary arch and unilateral single point occlusal loading of maxillary molar, pre-molar, canine and incisor sites. Strain and stress regimes from Von Mises (VM) failure criteria and extension and compression diagrams showed even distribution of strain following loading of the full maxillary arch throughout the facial elements. For individual points, the highest VM concentrations were consistently located on the facial aspect several mm above the loading site. Strain trajectories divided into a ,V-shaped' pattern, from the loading point into medial and lateral branches with higher VM values in the medial. As the same load was applied from the posterior to anterior region, VM values increased on all facial areas. Strain patterns were less symmetric and there was an increase in strain in the alveolar arch and around the rim of the nasal cavity. The overall picture of the facial skeleton is of a vertical plate enabling it to withstand occlusal stresses by in-plane loading and bending in its own plane. The most efficient distribution of load was on maxillary full arch loading with the most unfavourable strain concentrations occurring on loading in the anterior region. [source] Numerical analysis of the response of battered piles to inclined pullout loadsINTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS, Issue 10 2009Hussein Mroueh Abstract This paper presents a three-dimensional finite element analysis of the response of battered piles to the combined lateral and vertical pullout loads. Analyses are carried out using an elastoplastic constitutive law based on the non-associated Mohr,Coulomb criterion. The influence of the contact condition at the pile,soil interface is also investigated. Analyses show that the load's inclination with regard to the pile's axis affects both the lateral and axial response of the battered piles. Analyses also show that the pullout capacity of battered piles is affected by the pile's inclination regarding the vertical axis as well as the load's inclination regarding the pile's axis. The investigation of the influence of the contact condition at the soil,pile interface shows that the possibility of sliding at the soil,pile interface affects the response of battered piles subjected to loads with low inclination regarding the pile's axis. Copyright © 2008 John Wiley & Sons, Ltd. [source] A simplified analysis method for piled raft foundations in non-homogeneous soilsINTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS, Issue 2 2003Pastsakorn Kitiyodom Abstract A simplified method of numerical analysis based on elasticity theory has been developed for the analysis of axially and laterally loaded piled raft foundations embedded in non-homogeneous soils and incorporated into a computer program "PRAB". In this method, a hybrid model is employed in which the flexible raft is modelled as thin plates and the piles as elastic beams and the soil is treated as springs. The interactions between structural members, pile,soil,pile, pile,soil,raft and raft,soil,raft interactions, are approximated based on Mindlin's solutions for both vertical and lateral forces with consideration of non-homogeneous soils. The validity of the proposed method is verified through comparisons with some published solutions for single piles, pile groups and capped pile groups in non-homogeneous soils. Thereafter, the solutions from this approach for the analysis of axially and laterally loaded 4-pile pile groups and 4-pile piled rafts embedded in finite homogeneous and non-homogeneous soil layers are compared with those from three-dimensional finite element analysis. Good agreement between the present approach and the more rigorous finite element approach is demonstrated. Copyright © 2002 John Wiley & Sons, Ltd. [source] Improved Design of Shearing Sections with New Calculation Models Based on 3D Finite-Element SimulationsMACROMOLECULAR MATERIALS & ENGINEERING, Issue 11 2002Helmut Potente Abstract New models for the Maddock and spiral shearing sections have been developed, employing three-dimensional finite element analysis (3D FEA). These models describe the pressure-throughput and power consumption behavior of the shearing sections for both the extrusion and the injection molding process and have been implemented in the REX 6.0 and PSI 4.0 simulation software. As a consequence it is now possible to describe the process behavior of these shearing sections within just a few seconds with the accuracy of FEA calculations. Actual Maddock shearing section (left) and actual spiral shearing section (right). [source] Effects of splinted prosthesis supported a wide implant or two implants: a three-dimensional finite element analysisCLINICAL ORAL IMPLANTS RESEARCH, Issue 4 2005Heng-Li Huang Abstract Objectives: Three-dimensional finite element (FE) models of splinted prosthetic crowns were studied and stress analyses were evaluated with different types of implant support, including standard, wide or two implant(s) for partial, posterior edentulous restorations. Material and methods: The FE models were constructed based on a cadaver mandible containing the 2nd premolar and the 1st molar. The crowns of these two teeth were modeled as connected and disconnected to mimic the splinted and non-splinted designs, respectively. One standard implant was placed at the premolar region, while three types of implant support, one at a time (the standard implant, wide implant and two implants), were used to support the molar crown. A 100 N oblique load was applied to the buccal cusp on each crown. The FE simulation was validated experimentally via strain gauge measurement. Results: The experimental data were well correlated with the FE predictions (r2=0.97). When compared with the standard implant used in the molar area, the wide implant and two implants reduced the peak stress in crestal bone by 29,37% for both splinted and non-splinted cases. Inserting the standard implant into both the premolar and molar area, the bone stresses were identical for splinted and non-splinted designs. However, splinting the adjacent crowns has shown to decrease the bone stresses at the premolar region by 25%, while the wide implant or two implants were placed at the molar region. Conclusion: The biomechanical advantages of using the wide implant or two implants are almost identical. The benefit of load sharing by the splinted crowns is notable only when the implants on the premolar and molar regions have different supporting ability. Résumé Des modèles d'éléments finis (FE) tridimensionnels de couronnes prothétiques attachés ont étéétudiés et les analyses de stress ont étéévalués avec différents types de support d'implants comprenant le standard, le large ou deux implants pour des restaurations postérieures partielles. Les modèles FE ont été construits sur base de mandibule de cadavre contenant deux prémolaires et une molaire. Les couronnes de ces deux dents ont été modelées comme connectées et non-connectées pour mimer respectivement les modèles avec attache ou sans. Un implant standard a été placé dans la région prémolaire tandis que trois types d'implants supportaient en un temps (l'implant standard, l'implant large et deux implants) ont été utilisés pour porter la couronne molaire. Une charge oblique de 100 N a été appliquée sur la cuspide vestibulaire de chaque couronne. La simulation FE a été validée expérimentalement via une mesure par jauge de force. Les données expérimentales étaient en bonne corrélation avec les prévisions FE (r2=0,97). Comparés à l'implant standard utilisé dans la zone molaire, l'implant large et la combinaison de deux implants réduisait le pic de stress dans l'os crestal de 29 à 37% tant dans les cas attachés que non-attachés. En insérant l'implant standard dans la zone prémolaire et molaire, le stress osseux était identique pour les modèles attachés et non-attachés. Cependant, l'attache reliant les couronnes adjacentes s'accompagnait d'une dimininution des stress osseux dans la région prémolaire de 25%, tandis que l'implant large ou les deux implants étaient placés dans la région molaire. Les avantages biomécaniques de l'utilisation d'un implant large ou de deux implants sont quasi identiques. Le bénéfice d'une charge partagée par les couronnes solidarisées n'est visible que lorsque les implants des régions prémolaires et molaires ont des capacités de support différentes. Zusammenfassung Ziel: Bei der Rekonstruktion von Lücken im hinteren Seitenzahnbereich untersuchte man in einem dreidimensionalen Finiteelement-Modell (FE) zementierte Kronen und wertete in Belastungs-Analysen verschiedene Implantatabstützungen aus, nämlich auf Standardimplantaten, Wide neck-Implantaten oder auf zwei Implantaten. Material und Methoden: Das FE-Modell basierte auf den Werten eines Leichenunterkiefers in der Region des zweiten Prämolaren und ersten Molaren. Die Kronen auf diesen beiden Zähne wurden jeweils zusammenhängend und einzeln modelliert, so dass man die verblockte und unverblockte Situation nachempfinden konnte. In der Prämolarenregion implantierte man ein Standartimplantat. In der Molarenregion wählte man jeweils eine von drei verschiedenen Varianten der Abstützung für die Kronen: ein Standardimplantat, ein Wide neck-Implantat oder zwei Implantate. Auf den buccalen Höcker jeder Krone liess man schräg eine Kraft von 100 N auftreffen. Die FE-Simulation eichte man experimentell mit Hilfe von Dehnmessstreifen. Resultate: Die experimentellen Daten korrelierten sehr gut mit den FE-Voraussagen (r2=0.97). Verglich man die in der Molarenregion verwendeten Standartimplantate mit den Wide neck-Implantaten und zwei Implantaten, so reduzierte sich die Spitzenbelastung im crestalen Knochen um 29,37%, bei den verblockten wie auch bei den unverblockten Versionen. Setzte man sowohl im Prämolaren wie auch im Molarengebiet Standardimplantate, so war die Knochenbelastung für die verblockte wie auch für die unverblockte Version gleich gross. Wenn aber das Wide neck-Implantat oder zwei Implantate in der Molarenregion gesetzt worden waren, so vermochte die Verblockung der Implantat-Kronen die Knochenbelastung in der Prämolarenregion um 25% zu senken. Zusammenfassung: Ob man das Wide neck-Implantat oder zwei Implantate verwendet, die biomechanischen Vorteile sind beinahe identisch. Man erreicht durch das Verblocken von Kronen erst dann einen spürbaren Vorteil bezüglich Lastenverteilung, wenn die Implantate in der Prämolaren- und Molarenregion verschiedene Tragfähigkeiten aufweisen. Resumen Objetivos: Se estudiaron modelos tridimensionales de elementos finitos (FE) de coronas protésicas y se evaluó el análisis de estrés con diferentes tipos de soporte implantario, incluyendo implantes estándar, anchos o dos implantes, para restauraciones parciales en posteriores edéntulos. Material y métodos: Se construyeron dos modelos FE basados en mandíbula de cadáver conteniendo el 2° premolar y el 1er molar. Las coronas de estos dos dientes se modelaron como conectadas y desconectadas para imitar los diseños conectados y desconectados, respectivamente. Se colocó un implante estándar en la región premolar, mientras que para soportar la corona molar se colocaron tres tipos de implantes, uno a la vez, (un implante estándar, un implante ancho y dos implantes). Se aplicó una carga oblicua de 100N en la cúspide bucal de cada corona. La simulación de elementos finitos se validó experimentalmente por medio de medición de tensión. Resultados: Los datos experimentales se correlacionaron bien con las predicciones FE (r2=0.97). Al comparase a los implantes estándar usados en el área molar, el implante ancho y dos implantes redujeron el pico de estrés en el hueso crestal en un 29,37% tanto para los caso ferulizados como para los no ferulizados. Al insertar el implante estándar tanto en la región premolar como en la molar, los estrés óseos fueron idénticos para los diseños ferulizados como para los no ferulizados. De todos modos, la ferulización de las coronas adyacentes mostró un descenso del estrés óseo en un 25%, mientras el implante ancho o los dos implantes se colocaron en la región molar. Conclusión: Las ventajas biomecánicas de usar el implante ancho o dos implantes fueron casi idénticas. El beneficio de compartir la carga al ferulizar las coronas es notable solo cuando los implantes en las regiones premolar y molar tienen diferente capacidad de soporte. [source] Biomechanical aspects of marginal bone resorption around osseointegrated implants: considerations based on a three-dimensional finite element analysisCLINICAL ORAL IMPLANTS RESEARCH, Issue 4 2004Eriko Kitamura Abstract Objectives: Although bone loss around implants is reported as a complication when it progresses uncontrolled, resorption does not always lead to implant loss, but may be the result of biomechanical adaptation to stress. To verify this hypothesis, a three-dimensional finite element analysis was performed and the influence of marginal bone resorption amount and shape on stress in the bone and implant was investigated. Material and methods: A total of nine bone models with an implant were created: a non-resorption (Base) model and eight variations, in which three different resorption depths were combined with pure vertical or conical (vertical,horizontal) resorption. Axial and buccolingual forces were applied independently to the occlusal node at the center of the superstructure. Results: Regardless of load direction, bone stresses were higher in the pure vertical resorption (A) models than in the Base model, and increased with resorption depth. However, cortical bone stress was much lower in the conical resorption models than in both the Base and A models of the same resorption depth. An opposite tendency was observed in the cancellous bone under buccolingual load. Under buccolingual load, highest stress in the implant increased linearly with the resorption depth for all the models and its location approached the void existing below the abutment screw. Conclusions: The results of this analysis suggest that a certain amount of conical resorption may be the result of biomechanical adaptation of bone to stress. However, as bone resorption progresses, the increasing stresses in the cancellous bone and implant under lateral load may result in implant failure. Résumé Bien que la perte osseuse autour des implants soit considérée comme une complication quand elle progresse de manière incontrôlée, la résoption ne se termine pas toujours par la perte de l'implant, mais peut être le résultat de l'adaptation biomécanique au stress. Pour vérifier cette hypothèse, une analyse d'éléments finis en trois dimensions a été effectuée et l'influence de l'aspect et de la quantité de résorption osseuse marginale au stress dans l'os et l'implant a été analysée. Neuf modèles osseux avec un implant ont été créés : un modèle (Base) sans résorption et huit variations dans lesquelles trois profondeurs de résorption différentes ont été combinées avec des résorptions verticales ou coniques (verticale-horizontale). Des forces axiales et vestibulo-linguales ont été appliquées de manière indépendante en occlusal au centre de la superstructure. Quelle que soit la direction de la charge, les stress osseux étaient plus importants dans la résorption verticale pure (A) que dans le modèle de base et augmentaient avec la profondeur de résorption. Cependant, le stress osseux cortical était beaucoup plus faible dans les modèles à résorption conique que dans les modèles Base et A de même profondeur de résorption. Une tendance opposée était observée dans l'os spongieux sous charge vestibulo-linguale. Sous charge vestibulo-linguale, le stress le plus important dans l'implant augmentait linéairement avec la profondeur de résorption pour tous les modèles et sa localisation approchait l'espace existant en-dessous du pilier. Les résultats de cette analyse suggèrent qu'une certaine quantité de résorption conique pourrait être le résultat d'une adaptation biomécanique au stress osseux. Cependant, quand la résorption osseuse progresse les stress s'amplifiant dans l'os spongieux et au niveau de l'implant sous une force latérale peuvent résulter en un échec implantaire. Zusammenfassung Ziel: Auch wenn ein Knochenverlust um Implantate, der unkontrolliert fortschreitet, als Komplikation beschrieben wird, führen solche Resorptionen nicht gezwungenermassen zu einem Implantatverlust. Sie könnten aber Ausdruck einer biomechanischen Adaptation auf die Belastungen sein. Um diese Hypothese zu überprüfen, führte man eine dreidimensionale "Finite-Element"-Analyse durch. Man untersuchte die Zusammenhänge von Ausmass und Form der marginalen Knochenresorption und den entstehenden Kräften im Knochen und Implantat. Material und Methode: Die Arbeitsgrundlage waren 9 Modelle mit je einem Implantat: eines diente als Kontrolle (ohne Resorptionserscheinungen), die anderen acht zeigten drei verschiedene Resortionstiefen in Kombination mit rein vertikalen oder konischen (vertiko-horizontal) Defektformen. Dann liess man, unabhängig von der Okklusionsgestaltung, axiale und buccolinguale Kräfte auf die Mitte der Suprastruktur auftreffen. Resultate: Unabhängig von der Belastungsrichtung war die Knochenbelastung bei den rein vertikalen Resorptionsmodellen (A) grösser als beim Kontrollmodell und sie nahmen mit der Tiefe der Resorption zu. Die Belastung im kortikalen Knochen war aber in den Modellen mit konischen Resorptionen viel geringer als beim Kontrollmodell und den A-Modellen mit denselben Resorptionstiefen. Eine genau umgekehrte Tendenz konnte man im spongiösen Knochen unter buccolingualer Belastung feststellen.Bei einer buccolingualen Belastung nahm die Belastungsspitze beim Implantat bei allen Modellen linear mit der Resorptionstiefe zu und der Ort dieser Belastungsspitze lag im Bereich des Leerraumes genau unterhalb der Schraube des Sekundärteils. Zusammenfassung: Die Resultate dieser Analyse lassen vermuten, dass die konische Resorption bis zu einem gewissen Ausmass das Resultat einer biomechanischen Adaptation auf die Belastung des Knochens ist. Wenn aber die Knochenresorption fortschreitet, können die zunehmenden Belastungen im spongiösen Knochen und im Implantat bei einer lateralen Belastung zum Implantatmisserfolg führen. Resumen Objetivos: Aunque la pérdida de hueso alrededor de los implantes se informa como una complicación cuando progresa incontroladamente, la reabsorción no siempre lleva a la pérdida del implante, pero puede ser el resultado de la adaptación biomecánica al estrés. Para verificar esta hipótesis, se llevó a cabo un análisis tridimensional de elementos finitos y se investigó la influencia de la cantidad de reabsorción de hueso marginal y la forma en el estrés en el hueso y el implante. Material y métodos: Se crearon un total de 9 modelos de hueso con un implante: Un modelo sin reabsorción (Base) y 8 variaciones, el las que se combinaron tres diferentes profundidades de reabsorción con reabsorciones verticales o cónicas puras (vertical,horizontal). Se aplicaron fuerzas axiales y bucolinguales independientemente al nodo oclusal en el centro de la superestructura. Resultados: A pesar de la dirección de la carga, los estreses óseos fueron más altos en los modelos de reabsorción vertical pura (A) que en los modelos Base y se incrementaron con la profundidad de reabsorción. De todos modos, el estrés cortical fue mucho menor en los modelos de reabsorción cónica que en los modelos Base y A con la misma profundidad de reabsorción. Se observó una tendencia opuesta en el hueso esponjoso bajo carga bucolingual. Bajo carga bucolingual, el estrés mas alto en el implante se incrementó linealmente con la profundidad de reabsorción para todos los modelos y su localización se aproximó al espacio existente bajo el tornillo del pilar. Conclusión: Los resultados de este análisis sugieren que cierta cantidad de reabsorción cónica puede resultar de la adaptación biomecánica del hueso al estrés. De todos modos, al progresar la reabsorción ósea, los estrés crecientes en el hueso esponjoso y en el implante bajo carga lateral puede resultar en un fracaso del implante. 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