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[Three-dimensional finite element analysis of stress in supporting bone of mandibular posterior fixed bridge. II. Stress distribution of the cortical bone beneath pontic of fixed bridge].

OBJECTIVE: Stress distribution of the cortical bone beneath the pontic of the fixed bridge was observed. METHODS: The three-dimensional finite element model was developed. 6 loadings were applied respectively and the Maximum Stress (epsilon max) and the Minimum Stress(epsilon min) of the cortical bone beneath the pontic of the fixed bridge were calculated. RESULTS: The stress values were very small before the bridge was inserted. After the bridge was inserted the stress increased, but the stress level in the cortical bone was much lower than that in the alveolar bone. The stress values of the cortical bone were only 9.5% (vertical loading) and 2.2% (horizontal loading) of the alveolar bone's. CONCLUSION: The stress value of the cortical bone beneath the pontic was very small. The load was born mainly by supporting tissue around the bridge abutment.

Alveolar Process↗

The biomechanics of human femurs in axial and torsional loading: comparison of finite element analysis, human cadaveric femurs, and synthetic femurs.

To assess the performance of femoral orthopedic implants, they are often attached to cadaveric femurs, and biomechanical testing is performed. To identify areas of high stress, stress shielding, and to facilitate implant redesign, these tests are often accompanied by finite element (FE) models of the bone/implant system. However, cadaveric bone suffers from wide specimen to specimen variability both in terms of bone geometry and mechanical properties, making it virtually impossible for experimental results to be reproduced. An alternative approach is to utilize synthetic femurs of standardized geometry, having material behavior approximating that of human bone, but with very small specimen to specimen variability. This approach allows for repeatable experimental results and a standard geometry for use in accompanying FE models. While the synthetic bones appear to be of appropriate geometry to simulate bone mechanical behavior, it has not, however, been established what bone quality they most resemble, i.e., osteoporotic or osteopenic versus healthy bone. Furthermore, it is also of interest to determine whether FE models of synthetic bones, with appropriate adjustments in input material properties or geometric size, could be used to simulate the mechanical behavior of a wider range of bone quality and size. To shed light on these questions, the axial and torsional stiffness of cadaveric femurs were compared to those measured on synthetic femurs. A FE model, previously validated by the authors to represent the geometry of a synthetic femur, was then used with a range of input material properties and change in geometric size, to establish whether cadaveric results could be simulated. Axial and torsional stiffnesses and rigidities were measured for 25 human cadaveric femurs (simulating poor bone stock) and three synthetic "third generation composite" femurs (3GCF) (simulating normal healthy bone stock) in the midstance orientation. The measured results were compared, under identical loading conditions, to those predicted by a previously validated three-dimensional finite element model of the 3GCF at a variety of Young's modulus values. A smaller FE model of the 3GCF was also created to examine the effects of a simple change in bone size. The 3GCF was found to be significantly stiffer (2.3 times in torsional loading, 1.7 times in axial loading) than the presently utilized cadaveric samples. Nevertheless, the FE model was able to successfully simulate both the behavior of the 3GCF, and a wide range of cadaveric bone data scatter by an appropriate adjustment of Young's modulus or geometric size. The synthetic femur had a significantly higher stiffness than the cadaveric bone samples. The finite element model provided a good estimate of upper and lower bounds for the axial and torsional stiffness of human femurs because it was effective at reproducing the geometric properties of a femur. Cadaveric bone experiments can be used to calibrate FE models' input material properties so that bones of varying quality can be simulated.

Aged↗

Finite element analysis of the possible mechanism of cervical lesion formation by occlusal force.

Recently, various authors have proposed the interesting idea that occlusal force may be a principal factor in cervical lesions of the tooth. It is speculated that the lateral force in non-ideal mastication causes the tooth to bend and that the resulting tensile stress damages the enamel surface. In this study, we carried out stress analysis on the upper central incisor and the lower first molar using the plastic-elastic deformation theory with two-dimensional finite element method (FEM). The essential feature that the tensile yield strength is much smaller than the compressive one was taken into account. Our results suggested that oblique loading on the tooth stretches the enamel surface near the cemento-enamel junction and causes plastic deformation which eventually leads to the cervical lesion.

Bite Force↗

Stress distribution of inlay-anchored adhesive fixed partial dentures: a finite element analysis of the influence of restorative materials and abutment preparation design.

STATEMENT OF PROBLEM: Indirect composite or ceramic fixed partial dentures (FPDs) have become an alternative to conventional metal-ceramic adhesive fixed partial dentures (AFPDs). Little information about the adequate restorative material and tooth preparation design for inlay-anchored AFPDs is available to the clinician. PURPOSE: The purposes of this simulation study were: (1) to use 2-dimensional finite element modeling to simulate stresses at the surface and interface of 3-unit posterior AFPDs made with 6 different restorative materials, and (2) to investigate the influence of 3 different abutment preparation configurations on the stress distribution within the tooth/restoration complex. MATERIAL AND METHODS: A mesio-distal cross-section of a 3-unit AFPD was digitized and used to create 2-dimensional models of the periodontal membrane, supporting bone, different restorative materials (gold, alumina, zirconia, glass-ceramic, composite, and fiber-reinforced composite), and different abutment preparation configurations (interproximal slots vs. 2-surface [MO, DO] vs. 3-surface [MOD]). A simulated 50-N vertical occlusal load was applied to the standardized pontic element. The principal stress within the restorative materials, stresses at the tooth/restoration interface, and surface tangential stresses at the level of the pontic were calculated in MPa from the postprocessing files and compared to each other. RESULTS: All materials and tooth preparation design exhibited a similar stress pattern, with a definite compressive area at the occlusal side of the pontic, a tensile zone at the gingival portion of the pontic, and tensile stress peaks in the abutment/pontic connection areas. Among isotropic materials, standard non-reinforced composites exhibited better stress transfer and reduced tensile stresses at the adhesive interface than ceramics and gold. Optimized placement of the glass fibers within the composite resulted in similar stress distribution when tested in 2-surface abutment preparation configuration. There was no detectable influence of preparation design on the behavior of the pontic area. Among all 3 preparation designs, only the DO design exhibited almost pure compression at the interface. CONCLUSION: Within the limitations of this simulation experiment, the composite materials tested demonstrated a resilient component that favored stress transfer within the tooth/restoration complex. Their clinical use, however, may be contraindicated due to insufficient strength and fracture toughness. The addition of extremely tough fibers to composites represents the most promising combination. Clinical trials are required to ensure that veneering composite can survive under clinical conditions.

Cementation↗

[3D finite element analysis of stress distributions in supporting tissues of clasp-type partial dentures of transferring occlusion force].

OBJECTIVE: To provide a theoretical basis for clinical application of the clasp-type partial denture of transferring occlusion force, the stress distributions in its supporting tissue were analyzed. METHODS: The 3D finite element model was made, and the features of stress distributions in the supporting tissues of the clasp-type partial dentures which had different rest recess angles were discussed. RESULTS: The medial stress component was significantly larger than the distal one in the supporting tissue around main abutment root. When the rest recess angles were equal or greater to 60 degrees, the stress values were greatly reduced in the supporting tissue around the roots of the three abutments. When the rest recess angle reached 75 degrees, the stress values in the supporting tissue around the main abutment root wore decreased by 30% than the angle 0 degree and by 52% than the angle 45 degrees, the stress values in the supporting tissue around the root of second abutment (adjacent to the main abutment) were wholly increased by 44% than the angle 0 degree and reduced by 23% than the angle 45 degrees, the stress values in supporting tissue around the root of third abutment (outside of the second abutment) were wholly increased by 53% than the angle 0 degree and decreased by 31% than the angle 45 degrees, the stress values in the medial root of the main abutment were reduced by 73%. CONCLUSION: The clasp-type partial denture can resolve part of the occlusion force into two components the medial and distal components, and the occlusion force is distributed to several abutments, at the same time the conversed force components can be canceled by each other. So the whole stress values are greatly reduced and the stress around abutment root is greatly decreased. As a result the damage to the abutment will be eliminated. A design with centralized multi abutments and multi fixed bodies are used in this denture, which are more fixed and stable and have no obvious sinkage in the plate base. Therefore, the mastication function can be satisfactorily recovered, and the reasonable rest recess angle for the clasp-type partial denture of transferring occlusion force is about 75 degrees.

Bite Force↗

A three-dimensional finite element analysis of a porous rooted Co-Cr-Mo alloy dental implant.

A three-dimensional finite element model was used to investigate the biomechanical response of a porous rooted Co-Cr-Mo alloy implant. The load displacement responses calculated from the finite element model were verified with experimentally-determined values for three-cylindrical, porous rooted Co-Cr-Mo alloy dental implants retrieved from canines after two years in function. Models were developed based on histological analyses of tissue surrounding the implants. The results of the study indicate that the assumption of a direct bone-to-implant interface (i.e., an ankylosed implant) may not be a good representation for a porous rooted implant retained by bone ingrowth.

Animals↗

Finite element analysis of the relationship between clasp dimensions and flexibility.

A parameter study with use of the finite element method was conducted for examination of the relationships between the shape parameters of a clasp (width and thickness at the base and tip of the clasp) and its displacement or stress. By synthesis of these relationships, a simple formula defining the clasp tip displacement in terms of clasp dimensions ("displacement formula") was obtained. A stiffness parameter "Fd" (the load producing a 1-mm displacement of the clasp tip) was proposed, and a formula defining Fd in terms of shape parameters was derived from the displacement formula. Fd would be a practical parameter for the definition of clasp retention, and the present formulae appear to be useful tools for investigation of the retention of removable partial dentures.

Chromium Alloys↗

A finite element analysis of the stress at the restoration-tooth interface, comparing inlays and bulk fillings.

A finite element investigation comparing bonded inlays and directly placed restorations is presented. The stress build-up due to the contraction of the restorative composite and the composite luting cement was computed using a finite element model accounting for the time-dependent, elasto-visco-plastic behaviour of the composite. In addition, the stresses generated in the restoration due to occlusal loading were computed. It was found that inlays, in general, generate higher stresses during curing, particularly along the interface between the cement and the dentine at the base of the cavity. This is probably due to a reduced capacity for stress relief through viscous flow during the early stages of the curing reaction. Under occlusal load, restorations placed using both techniques perform similarly, from a purely mechanical point of view.

Dental Caries↗

[The finite element analysis of lumbar fusions].

OBJECTIVE: To investigate the stability and the stress distributions of L(3-5) fused with three different approaches (interbody, posterolateral and circumferential fusions) and to investigate degeneration of the segment adjacent to the fused functional spinal unit. METHODS: A detailed L(3-5) three-dimensional nonlinear finite element model of a normal man aged 32 was established and validated. Based on the model, the destabilized model, the interbody, posterolateral and circumferential fusions models of L45 were established. After the loadings were placed on all the models, we recorded the angular motions of the fused segment and the Von Mises stress of the adjacent intervertebral disc. RESULTS: The circumferential fusion was most stable than the others, and the interbody fusion was more stable than the posterolateral fusion. The maximal Von Mises stress of the adjacent L3.4 intervertebral finite all the models was ranked descendingly as flexion, lateral bending, torsion and extension. For the three kinds of fusions, the stress increment of the L34 intervertebral disc was ranked ascendingly as interbody fusion, posterolateral fusion and circumferential fusion. CONCLUSION: After destabilization of the L(4.5) segment, the stability of the circumferential fusion is better than that of the others, particularly under the fluxional or extensional loading. The stability of the interbody fusion is better than that of the posterolateral fusion, except for under the fluxional loading. The feasibility of adjacent segment degeneration can be ranked descendingly as: circumferential fusion, posterolateral fusion and interbody fusion.

Adult↗

[A three-dimensional finite element analysis of the correlation between lengths and diameters of the implants of fixed bridges with proper stress distribution].

OBJECTIVE: The study is designed to investigate the correlation between lengths and diameters of the implants of fixed bridges with proper stress distribution. Meanwhile, the correlation between the diameter of the implants and the size of a mandible bone is evaluated by stress analysis. METHODS: According to the stress around the implants of an implant fixed bridge with proper stress distribution, especially peak stress, a three-dimensional finite element method was used to determine the correlation between diameters and lengths of implants with their diameters or lengths changing. RESULTS: The peak stress surrounding the implants in fixed bridge supported by clinical implants that were commonly used was figured out, and the correlated amount of diameters or lengths of the implants were achieved. Furthermore, a correlation curve of diameter and length of the implants was made. But the correlated amount of diameters or lengths of the implants were not found in this model. CONCLUSION: The proper stress distribution of implants with different implant sizes can be achieved by adjusting diameters or/and lengths of implants. The selection of the implant size is related to the limited model size. Being a preliminary theory, the results will be proved to be clinically acceptable to the size selection of implants.

Adult↗

Finite element analysis of stresses developed in blood sacs of a pusherplate blood pump.

Mechanical circulatory support (MCS) devices are blood pumps that support or replace the function of the native heart. It is important to minimize the material stresses in the flexing blood sac or diaphragm in order to increase the duration of support these devices can provide. An axisymmetric finite element model of a pusherplate blood pump was constructed to evaluate the effect of various design parameters on the material stresses in a segmented poly(ether polyurethane urea) seamless blood sac. The design parameters of interest were the sac thickness, pump case wall taper, and radius of the sac between the pusherplate and pump case wall. The analysis involved a quasi-static analysis of the systolic ejection phase of the pump. The finite element solution suggested that the principal stresses and strains increased almost linearly with sac thickness. The pump case wall taper had the largest effect; decreasing the peak principal stresses by approximately 35% when the pump case was straight versus tapered. Lastly, the model demonstrated that the radius of the blood sac between the pusherplate and pump case wall had little or no effect on the magnitude of the blood sac stresses. Therefore, this study suggests that in order to minimize the stresses in a blood sac of a pusherplate blood pump, a straight pump case should be chosen with the thinnest sac.

Computer Simulation↗

Cement flow during impaction allografting: a finite element analysis.

Cement intrusion into cancellous or impacted bone is not well understood. We adopted an engineering mechanics approach to predict the effect of surgical variables on the cement intrusion into impacted cancellous bone, used for the revision of failed total hip replacement with the impaction allografting technique. Specifically, a three-dimensional finite element model was used to determine the effects of cement viscosity, the magnitude and duration of pressurization, and the distribution of the porosity along the femur on cement intrusion. The overall averaged mean intrusion depth difference between the finite element model prediction and the cadaveric measurements was 1.1mm. The depth of penetration increased with higher pressurization pressure, duration of pressurization, and earlier stem insertion (lower viscosity), but maintained a similar profile. The distribution of the porosity along the femur determined the intrusion profile. Cement viscosity, the applied pressure or the duration of the pressurization can be adjusted to limit the cement volume injected into the medullary canal and therefore prevent the cement from reaching the endosteal surface.

Bone Cements↗

[Finite element analysis of the mechanical property of the resistance to compressing of the coronary stent].

Since coronary stent is an important device used in percutaneous support the stenosed artery, its ability to expant the diseased artery wall shall be one of the most significant prerequisites for optimal stent performance. In this paper, the finite element model of coronary stent to resist compressing was set up based on the stent prototype testing. Using the numerical simulation, it was systematically analyzed that the influence of the size of the dilatation of stent and stent strut width and thickness on the stent mechanical properties of the resistance to compressive force applied by two opposite planes. The results show that this resistibility is weakened with the increasing of the final expanded diameter of stent, but increasing the stent strut width or thickness can improve it, and it is equivalent to this improvement to increase the dimension of strut cross section of the stent in the two directions. Experiment result is well consistent with simulation which indicates that the finite element method can substitute for the stent prototype testing to some extent.

Angioplasty, Balloon, Coronary↗

Damping effects on the response of maxillary incisor subjected to a traumatic impact force: a nonlinear finite element analysis.

OBJECTIVES: The aim of this study was to evaluate the effects of damping on stress concentration in an impacted incisor. METHODS: Damping ratios of maxillary incisors were tested using an in vivo modal testing method. A finite element model of the upper central incisor was established for dental trauma analysis. To assess the effect of damping properties on induced stresses in the traumatized incisors, equivalent stresses in the finite element model with various damping ratios were calculated for comparison. The mechanisms of cushioning properties of the upper incisors on traumatic injuries were assessed by profiling the stress distributions in the incisor model sequentially with time. RESULTS: The measured damping ratio of maxillary incisors was 0.146+/-0.037. When the incisor was subjected to an impact force, high stresses were concentrated at the labial and lingual incisor edges, cervical ridge, and the area around root apex. When the damping ratios of the incisor model were set at 10- and 50-fold of the measured values, the peak stresses induced near the impact site of the incisor model were reduced from 24.0 to 23.2 and 15.9 MPa, respectively. On the other hand, the peak stress lagged and the stress existence period increased when the damping properties were taken into consideration. CONCLUSIONS: Damping properties of teeth provide protection to the tooth during traumatic injury by decreasing the peak stress magnitude due to release of strain energy over a longer period.

Adult↗

Three-dimensional finite element analysis of the cartilaginous structures in the human temporomandibular joint.

While the movability of the human temporomandibular joint is great, the strains and stresses in the cartilaginous structures might largely depend on the position of the mandible with respect to the skull. This hypothesis was investigated by means of static three-dimensional finite element simulations involving different habitual condylar positions. Furthermore, the influence of several model parameters was examined by sensitivity analyses. The results indicated that the disc moved together with the condyle in the anterior direction without the presence of ligaments and the lateral pterygoid muscle. By adapting its shape to the changing geometry of the articular surfaces, the disc prevented small contact areas and thus local peak loading. In a jaw-closed configuration, the influence of 30 degrees variations of the loading direction was negligible. The load distribution capability of the disc appeared to be proportional to its elasticity and was enhanced by the fibrocartilage layers on the articular surfaces.

Aged↗

Implant biomechanics in grafted sinus: a finite element analysis.

This in vitro study investigated the stress distribution in the bone surrounding an implant that is placed in a posterior edentulous maxilla with a sinus graft. The standard threaded implant and anatomy of the crestal cortical bone, cancellous bone, sinus floor cortical bone, and grafted bone were represented in the 3-dimensional finite element models. The thickness of the crestal cortical bone and stiffness of the graft were varied in the models to simulate different clinical scenarios, representing variation in the anatomy and graft quality. Axial and lateral loads were considered and the stresses developed in the supporting structures were analyzed. The finite element models showed different stress patterns associated with helical threads. The von Mises stress distribution indicated that stress was maximal around the top of the implant with varying intensities in both loading cases. The stress was highest in the cortical bone, lower in the grafted bone, and lowest in the cancellous bone. When the stiffness of the grafted bone approximated the cortical bone, axial loading resulted in stress reduction in all the native bone layers; however, lateral loading produced stress reduction in only the cancellous bone. When the stiffness of the graft was less than that of the cancellous bone, the graft assumed a lesser proportion of axial loads. Thus, it caused a concomitant stress increase in all the native bones, whereas this phenomenon was observed in only the cancellous bone with lateral loading. The crestal cortical bone, though receiving the highest intensity stresses, affected the overall stress distribution less than the grafted bone. The stress from the lateral load was up to 11 times higher than that of the axial load around the implant. These findings suggest that the type of loading affects the load distribution more than the variations in bone, and native bone is the primary supporting structure.

Biomechanical Phenomena↗

[Finite element analysis, its limitations and the relevance of its results to orthopaedic surgery as shown by simultaneous experimental measurements (author's transl)].

For a stress analysis of the femur, intact or with an implant, the Finite Element Method appears to be the only practicable one. In order to evaluate the limitation of this method and the relevance of its results for orthopaedic problems, bones were modelled for 2-dimensional and 3-dimensional analysis. Strain gauges were attached to the actual bones. Strains were calculated and measured exerimentally. The results led to these conclusions: The Finite Element Method alone is an appropriate means for qualitative and comparative studies. Complicated geometry of bones and uncertainties about their mechanical properties make it mandatory that calculated values by corroborated by experimental measurements at least in certain points. This ought to be considered particularly if practical consequences are to be drawn from Finite Element calculations in orthopaedic surgery.

Epoxy Resins↗