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Three-dimensional finite element analysis of glenoid replacement prostheses: a comparison of keeled and pegged anchorage systems.

Glenoid component loosening is the dominant cause of failure in total shoulder arthroplasty. It is presumed that loosening in the glenoid is caused by high stresses in the cement layer. Several anchorage systems have been designed with the aim of reducing the loosening rate, the two major categories being "keeled" fixation and "pegged" fixation. However, no three-dimensional finite element analysis has been performed to quantify the stresses in the cement or to compare the different glenoid prosthesis anchorage systems. The objective of this study was to determine the stresses in the cement layer and surrounding bone for glenoid replacement components. A three-dimensional model of the scapula was generated using CT data for geometry and material property definition. Keeled and pegged designs were inserted into the glenoid, surrounded by a 1-mm layer of bone cement. A 90 deg arm abduction load with a full muscle and joint load was applied, following van der Helm (1994). Deformations of the prosthesis, stresses in the cement, and stresses in the bone were calculated. Stresses were also calculated for a simulated case of rheumatoid arthritis (RA) in which bone properties were modified to reflect that condition. A maximum principal stress-based failure model was used to predict what quantity of the cement is at risk of failure at the levels of stress computed. The prediction is that 94 percent (pegged prosthesis) and 68 percent (keeled prosthesis) of the cement has a greater than 95 percent probability of survival in normal bone. In RA bone, however, the situation is reversed where 86 percent (pegged prosthesis) and 99 percent (keeled prosthesis) of the cement has a greater than 95 percent probability of survival. Bone stresses are shown to be not much affected by the prosthesis design, except at the tip of the central peg or keel. It is concluded that a "pegged" anchorage system is superior for normal bone, whereas a "keeled" anchorage system is superior for RA bone.

Bone Cements↗

[Effect of jaw shape on stresses at implant-bone interface: a three-dimensional finite element analysis].

OBJECTIVE: To study the influence of different shape of lower jaw on stress distribution at bone interface in the mandibular molar region of implant restoration models. METHODS: Six models with different lower jaw shapes were constructed by using three-dimensional finite element method. Implant-bone interface stresses in these models were studied under vertical and lateral loads. RESULTS: No matter in the condition of vertical loading of lateral loading, stress distribution patterns were similar in variant models and differences of stress values were not statistically significant. The maximal differences in Von-Mises stress, compressive stress and tensile stress among the six models were 6.4%, 2.8% and 6.2%respectively. CONCLUSION: It is rational to simplify the lower jaw shape in finite element analysis.

Dental Implantation↗

Evaluation of changes following advancement genioplasty using finite element analysis.

This study examined skeletal stability and the remodelling process following advanced pedicled genioplasty. Twenty patients who had advancement genioplasty concomitant with other adjunctive orthognathic surgery were evaluated. A finite element analysis method was used to assess these changes. The stability of the advanced segment was excellent after 6 months. At 6 months bone remodelling was observed in the form of bone apposition at B point and Pogonion with bone resorption at the superior aspect of the advanced segment. The genial segment rotated about 12 degrees antero-superiorly which was thought to be due to the action of the mentalis muscle. Finite element analysis is a sensitive tool for assessing changes after genioplasty and was able to separate them from the effects of other adjunctive orthognathic surgery.

Bone Remodeling↗

Finite element analysis of a total knee replacement by using Gauss point contact constraints.

Finite element methods have been applied extensively and with much success in the analysis of orthopaedic hip and knee implants. Very recently a burgeoning interest has developed, in the finite element community, in how numerical models can be constructed for the solution of problems in contact mechanics. New developments in this area are of paramount importance in the design of implants for orthopaedic surgery. Modern techniques are described for finite element contact analysis and applied to two problems of stress analysis in a plastic tibial component. In the former, results are compared with a previous finite element analysis and with Hertzian solutions. In the latter, an estimate of the extent of convergence of the finite element solutions is provided.

Biomechanical Phenomena↗

Modeling and finite element analysis of a new revision implant for the elbow.

Failed total elbow arthroplasties often are associated with significant bone loss, especially at the level of both humeral condyles. Regular implants might not be ideal for those revision cases and either custom-made implants or complex bone reconstruction procedures with grafts are needed. The goal of the current study was to develop a new revision implant, based on an existing total elbow system (GSB III). The new revision humeral component, with an anterior flange instead of condylar flanges, was designed in a computer-aided design program and virtually implanted in a modeled humerus from a cadaver and subsequently was tested in a finite element model under different loading conditions. The overall distribution of the von Mises stress, as a generalized stress intensity factor, did not differ significantly between the GSB III and the new revision component. There was a tendency that the anterior flange, compared with the condylar flanges, protected the implant-cement-bone interface in the critical region of the distal stem. The finite element analysis suggests that the revision concept for failed total elbow arthroplasties, to rely on existing anterior humerus cortex instead of reconstruction of the condylar bone, seems to have no disadvantage in terms of stress distribution on the implant.

Arthroplasty, Replacement↗

The effect of cement augmentation on the load transfer in an osteoporotic functional spinal unit: finite-element analysis.

STUDY DESIGN: The effect of cement augmentation on an osteoporotic lumbar functional spinal unit was investigated using finite-element analysis. OBJECTIVE: To evaluate the influence of cement augmentation on load transfer, stresses, and strains. SUMMARY OF BACKGROUND DATA: Osteoporosis is the most frequent skeletal disease of the elderly, leading to weakness of the bony structures. Cement injection into vertebral bodies has been used to treat osteoporotic compression fractures of the spine. The clinical results are encouraging. Experimental biomechanical studies showed significant increases in stiffness and strength of treated bodies. However, little is known about the consequences for the adjacent, nontreated levels. METHODS: Three-dimensional finite-element models of L2-L3 were developed and the material properties adapted to simulate osteoporosis. The influence of augmentation level as well as uni- and bipedicular filling with polymethylmethacrylate were investigated. Compression, flexion, and lateral bending were simulated. RESULTS: Augmentation increased the pressure in the nucleus pulposus and the deflection of the adjacent endplate. The stresses and strains in the vertebrae next to an augmentation were increased, and their distribution was changed. Larger areas were subjected to higher stresses and strains. The treatment clearly altered the load transfer. Changes to the overall stress and strain distribution were less pronounced for unipedicular augmentation. CONCLUSIONS: Cement augmentation restores the strength of treated vertebrae, but leads to increased endplate bulge and an altered load transfer in adjacent vertebrae. This supports the hypothesis that rigid cement augmentation may facilitate the subsequent collapse of adjacent vertebrae. Further study is required to determine the optimal reinforcement material and filling volume to minimize this effect.

Biomechanical Phenomena↗

How plate positioning impacts the biomechanics of the open wedge tibial osteotomy; a finite element analysis.

A numerical model of the medial open wedge tibial osteotomy based on the finite element method was developed. Two plate positions were tested numerically. In a configuration, (a), the plate was fixed in a medial position and (b) in an anteromedial position. The simulation took into account soft tissues preload, muscular tonus and maximal gait load.The maximal stresses observed in the four structural elements (bone, plate, wedge, screws) of an osteotomy with plate in medial position were substantially higher (1.13-2.8 times more) than those observed in osteotomy with an anteromedial plate configuration. An important increase (1.71 times more) of the relative micromotions between the wedge and the bone was also observed. In order to avoid formation of fibrous tissue at the bone wedge interface, the osteotomy should be loaded under 18.8% (approximately 50 kg) of the normal gait load until the osteotomy interfaces union is achieved.

Arthroplasty, Replacement, Knee↗

Finite element analysis of an osseointegrated stepped screw dental implant.

An osseointegrated stepped screw dental implant was evaluated using 2-dimensional finite element analysis (FEA). The implant was modeled in a cross section of the posterior human mandible digitized from a computed tomography (CT) generated patient data set. A 15-mm regular platform (RP) Branemark implant with equivalent length and neck diameter was used as a control. The study was performed under a number of clinically relevant parameters: loading at the top of the transmucosal abutment in vertical, horizontal, and 45 degrees oblique 3 orientations. Elastic moduli of the mandible varied from a normal cortical bone level (13.4 GPa) to a trabecular bone level (1.37 GPa). The study indicated that an oblique load and elastic moduli of the cortical bone are important parameters to the implant design optimization. Compared with the cylindrical screw implant, the maximum von Mises stress of the stepped screw implant model was 17.9% lower in the trabecular bone-implant area. The study also showed that the stepped screw implant is suitable for the cortical bone modulus from 10 to 13.4 GPa, which is not necessarily as strict as the Branemark implant, for which a minimum 13.4 GPa cortical bone modulus is recommended.

Biomechanical Phenomena↗

Finite element analysis of the long-term fixation strength of cemented ceramic cups.

Clinical studies have shown that adequate fixation of ceramic cups using bone cement is difficult to achieve. As the cement-ceramic bond strength is low, a satisfactory fixation strength requires a cup design that allows mechanical interlocking, although such a design will probably promote cement cracking and therefore cup loosening in the long term. An investigation has been carried out to establish whether a cemented ceramic cup can be designed in such a way that both a satisfactory initial fixation strength is obtained and cement cracking is reduced to levels found around PE cups functioning well in vivo. By means of finite element analysis, the fatigue loading of three geometrically different cemented acetabular cups, with ceramic and PE material properties, has been simulated, and the severity of the crack patterns produced in the cement has been analysed. Furthermore, the fixation strength has been analysed by simulating a pull-out test prior to and after fatigue testing. All ceramic cups produced much larger amounts of cement damage during fatigue testing than any PE cup, caused by stress concentrations in the cement that were attributable to the high stiffness of the ceramic. Even a completely smooth ceramic cup produced more damage than a sharp-grooved PE cup. Owing to the excessive cement cracking, the fixation strength of the ceramic cups dropped after fatigue loading. It is concluded that cemented ceramic cups have an increased risk of long-term mechanical failure by comparison with PE cups, and that a ceramic cup design that combines sufficient fixation strength with low cement failure may be difficult to achieve.

Acetabulum↗

Age-related development of atherosclerotic plaque stress: a population-based finite-element analysis.

BACKGROUND: In order to identify those age-related factors in the development of coronary atherosclerosis that would affect the stability of the plaque system, we have developed idealized, finite-element, cross-sectional models of the arterial wall and associated lesions, derived from population-based data. METHODS: The physical development and morphology of coronary plaques was documented in the Pathobiological Determinants of Atherosclerosis in Youth histological study. Using this database, finite-element analysis models were created for five age groups (15-19, 20-24, 25-29 and 30-34 years) and for the 25 largest lesions. Cosmos (Structural Research, Inc., Los Angeles, California, USA) was used to create and analyze the models. RESULTS: The area of greatest stress shifted from the intima opposite the lesion in the 15-19 years age group to the edge of the cap and adjacent healthy tissue in the later age groups. Increasing age had a strong positive correlation with the shoulder stress level (r = 0.95) and the per cent stenosis correlated well with shoulder stress (r = 0.99, P < 0.002). Increasing the cap stiffness from a soft cap to a fibrous cap in the 30-34 year age group model resulted in a localized increase in shoulder surface stress by 10%. A calcified cap increased this shoulder surface stress by 30%. CONCLUSIONS: This finite-element analysis of the population-based data shows that the increase in stress appears to be closely related to the impaired load-bearing capability of the lipid pool that develops with age. The shoulder area of the lesion has been shown to be the location of most of the plaque fractures.

Adolescent↗

A 3-dimensional finite-element analysis investigating the biomechanical behavior of the mandible and plate osteosynthesis in cases of fractures of the condylar process.

OBJECTIVE: The condylar region is one of the most frequent sites for mandibular fractures, with direct application of miniplates being the most commonly used open-fixation technique today. Yet, anatomic and biomechanical limitations continue to make this application technically challenging with a considerable complication rate. We sought to analyze such incongruencies with respect to the complex biomechanical behavior of the mandible. STUDY DESIGN: Individual human mandible geometry, the specific bone density distribution, and the position and orientation of the masticatory muscles were evaluated by performing computed tomography scans and a sequential dissection of the cadaver mandible. Three-dimensional finite-element analysis was performed for different fracture sites, osteosynthesis plates, and loading conditions. RESULTS: Osteosynthesis of fractures of the condylar neck with 1 or 2 miniplates of a diameter of 2.35 x 1.00 mm was found to be an insufficient fixation method. This also applies for plates (3.60 x 1.54 mm), according to Pape et al,(8) when used in singular fashion (high condylar neck fractures excepted). In cases of singular occlusal contacts in the molar region (particularly at the contralateral side of the fracture), the highest stress values inside the mandible and osteosynthetic devices could be observed. With even the static yield limit of titanium being exceeded in such cases, consecutive rapid failure of the miniplates becomes most likely when loading of the condylar region caused by bite forces cannot be prevented. CONCLUSION: We strongly recommend the use, whenever possible, of 2 plates in the manner described by Pape et al(8) for osteosynthesis of fractures of the condylar neck in combination with bicortically placed screws. The stiffness of a singular osteosynthesis plate made of titanium in a diametrical dimension of approximately 5.0 x 1.75 mm was found to be equivalent to the physiological bone stiffness in the investigated fracture sites. The actual stiffness of such a fixation plate is approximately 3 times higher than the stiffness of devices commonly in use.

Bite Force↗

Stress distribution of the foot during mid-stance to push-off in barefoot gait: a 3-D finite element analysis.

OBJECTIVE: To quantify stress distribution of the foot during mid-stance to push-off in barefoot gait using 3-D finite element analysis. DESIGN: To simulate the foot structure and facilitate later consideration of footwear. Finite element model was generated and loading condition simulating barefoot gait during mid-stance to push-off was used to quantify the stress distributions. BACKGROUND: A computational model can provide overall stress distributions of the foot subject to various loading conditions. METHODS: A preliminary 3-D finite element foot model was generated based on the computed tomography data of a male subject and the bone and soft tissue structures were modeled. Analysis was performed for loading condition simulating barefoot gait during mid-stance to push-off. RESULTS: The peak plantar pressure ranged from 374 to 1003 kPa and the peak von Mises stress in the bone ranged from 2.12 to 6.91 MPa at different instants. The plantar pressure patterns were similar to measurement result from previous literature. CONCLUSIONS: The present study provides a preliminary computational model that is capable of estimating the overall plantar pressure and bone stress distributions. It can also provide quantitative analysis for normal and pathological foot motion. RELEVANCE: This model can identify areas of increased pressure and correlate the pressure with foot pathology. Potential applications can be found in the study of foot deformities, footwear, surgical interventions. It may assist pre-treatment planning, design of pedorthotic appliances, and predict the treatment effect of foot orthosis.

Adult↗

[Finite element analysis of spine biomechanics].

In this paper is summarized and classified the recent great progress in the research of spine biomechanics analysis. In addition, the relevant clinical significance as well as some possible research trends of finite element model establishment are also clarified. As a theoretical method, only by close links with clinical practice can finite element analysis really help explain the onset and development of diseases and forecast the curative effects.

Biomechanical Phenomena↗

[The study on three-dimension finite element analysis of the stress distribution in the mandible bone around dental implants].

OBJECTIVE: The aim of this study was to investigate how to model an accuracy 3-dimension Finite Element Analysis (3D-FEA) model. METHODS: Based on computed tomography (CT) scan data of a woman, a 3D finite element model of the first molar on the left was rebuilt by computer imagines process and computer aided design (CAD). Analysis of the stress distribution on a cylinder dental implant and in the bone around it was conducted. RESULTS: The stress distribution showed extremely asymmetry in bucco-lingual section: stress concentrated on the lingual side of the mandible; stress mainly was tensile in buccal side, and on the contrary compressive in lingual side. CONCLUSION: The results were more reliable because this model more really displayed the mandible.

Computer Simulation↗

Effects of brain ventricular shape on periventricular biomechanics: a finite-element analysis.

OBJECTIVE: A computer simulation based on the finite-element method was used to study the biomechanics of acute obstructive hydrocephalus and, in particular, to define why periventricular edema is most prominent in the anterior and posterior horns. METHODS: Brain parenchyma was modeled as a two-phase material composed of a porous elastic matrix saturated by interstitial fluid. The effects of the cerebrovascular system were not included in this model. The change in the shape of the ventricles as they enlarged was described by two variables, i.e., the stretch of the ependyma and the concavity of the ventricular wall. The distribution of stresses and strains in the tissue was defined by two standard mechanical measures, i.e., the mean effective stress and the void ratio. RESULTS: With obstruction to cerebrospinal fluid flow, the simulation revealed that the degree of ventricular expansion at equilibrium depended on the pressure gradient between the ventricles and the subarachnoid space. Periventricular edema was associated with the appearance of expansive (tensile) stresses in the tissues surrounding the frontal and occipital horns. In contrast, the concave shape in the region of the body of the ventricle created compressive stresses in the parenchyma. Both of these stresses seem to be direct consequences of the concave/convex geometry of the ventricular wall, which serves to selectively focus the forces (perpendicular to the ependyma) produced by the increased intraventricular fluid pressure in the periventricular tissues. CONCLUSION: The distribution of periventricular edema in acute hydrocephalus is a result not only of increased intraventricular pressure but also of ventricular geometry.

Biomechanical Phenomena↗

The finite element analysis of stresses in atherosclerotic arteries during balloon angioplasty.

Finite element models of diseased arteries subject to balloon dilation are used to study the stresses in the arterial wall and plaque at peak balloon pressures. These models incorporate large strain, simulate contact between the balloon and the inner artery, and the constituent materials are modeled as nonlinear elastic. In these analyses, balloon dilation pressures range from 300 to 450 kPa. The stress in the diseased artery is recorded under different stenosis levels dilated using different balloons and possible causes of restenosis and plaque rupture are discussed.

Angioplasty, Balloon↗

Generic, geometric finite element analysis of the transtibial residual limb and prosthetic socket.

Finite element (FE) analysis was used to investigate the stress distribution between the residual limb and prosthetic socket of persons with transtibial amputation (TTA). The purpose of this study was to develop a tool to provide a quantitative estimate of prosthetic interface pressures to improve our understanding of residual limb/prosthetic socket biomechanics and prosthetic fit. FE models of the residual limb and prosthetic socket were created. In contrast to previous FE models of the prosthetic socket/residual limb system, these models were not based on the geometry of a particular individual, but instead were based on a generic, geometric approximation of the residual limb. These models could then be scaled for the limbs of specific individuals. The material properties of the bulk soft tissues of the residual limb were based upon local in vivo indentor studies. Significant effort was devoted toward the validation of these generic, geometric FE models; prosthetic interface pressures estimated via the FE model were compared to experimentally determined interface pressures for several persons with TTA in a variety of socket designs and static load/alignment states. The FE normal stresses were of the same order of magnitude as the measured stresses (0-200 kPa); however, significant differences in the stress distribution were observed. Although the generic, geometric FE models do not appear to accurately predict the stress distribution for specific subjects, the models have practical applications in comparative stress distribution studies.

Artificial Limbs↗

Finite element analysis in vertebrate biomechanics.

This special issue of The Anatomical Record presents a series of papers that apply the method of finite element analysis (FEA) to questions in vertebrate biomechanics. These papers are salient examples of the use of FEA to test hypotheses regarding structure-function relationships in complexly shaped biological objects such as skulls and in areas of the skeleton that are otherwise impervious to study. FEA is also a powerful tool for studying patterns of stress and strain in fossil animals and artificial constructs hypothesized to represent ancestral conditions. FEA has been used deductively, to study patterns of growth and development, and to investigate whether skull shapes can be created from amorphous blocks using an iterative approach of loading and removing elements. Several of the papers address methodological issues, such as the relative importance of loading conditions and material properties for generating an accurate model and the validation of models using in vivo strain data. Continuing improvements in model building techniques will make possible increased application of FEA to study the functional effects of variation in morphology, whether through ontogenetic or phylogenetic transformations.

Anatomy↗