Finite element method
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INTRODUCTION AND HYPOTHESIS: Several studies have assessed birth-related deformations of the levator ani muscle (LAM) and perineum on models that depicted these elements in isolation. The main aim of this study was to develop a complex female pelvic floor computational model using the finite element method to evaluate points and timing of maximum stress at the LAM and perineum in relation to the birth process. METHODS: A three-dimensional computational model of the female pelvic floor was created and used to simulate vaginal birth based on data from previously described real-life MRI scans. We developed three models: model A (LAM without perineum); model B (perineum without LAM); model C (a combined model with both structures). RESULTS: The maximum stress in the LAM was achieved when the vertex was 9 cm below the ischial spines and measured 37.3 MPa in model A and 88.7 MPa in model C. The maximum stress in the perineum occurred at the time of distension by the suboocipito-frontal diameter and reached 86.7 MPa and 119.6 MPa in models B and C, respectively, while the stress in the posterior fourchette caused by the suboccipito-bregmatic diameter measured 36.9 MPa for model B and 39.8 MPa for model C. CONCLUSIONS: Including perineal structures in a computational birth model simulation affects the level of stress at the LAM. The maximum stress at the LAM and perineum seems to occur when the head is lower than previously anticipated.
The research aims to analyze the tibial component rotation using the finite element method by resecting the tibia in a transverse plane at an angle between 1.5° (external rotation) and -1.5° (internal rotation). We used a three-dimensional scanner to obtain the tibia's geometrical model of a cadaveric specimen. We then exported the surfaces of the tibial geometrical model through the Computer-Aided Three-dimensional Interactive Application (CATIA), which is a Computer-Aided Design (CAD) program. The CAD program three-dimensionally shaped the tibial component, polyethylene, and cement. Our analysis determined that the maximum equivalent stress is obtained in the case of proximal tibial resection at -1.5° angle in a transverse plane (internal rotation) with a value of 12.75 MPa, which is also obtained for the polyethylene (7.693 MPa) and cement (6.6 MPa). The results have shown that detrimental effects begin to occur at -1.5°. We propose the use of this finite element method to simulate the positioning of the tibial component at different tibial resection angles to appreciate the optimal rotation.
PURPOSE OF THE STUDY In this study, our aim is to examine the effect of proximal fibular osteotomy on knee and ankle kinematics with finite element analysis method. MATERIAL AND METHODS One 62-year-old, female volunteer's radiologic images were used for creating lower limb model. Osteotomized model (OM) which was created according to definition of PFO and non-osteotomized model (NOM) were created. To obtain a stress distribution comparison between the two models, 350 N of axial force was applied to the femoral heads of the models. RESULTS After PFO, the average contact pressure decreased 26.1% at the medial tibial cartilage and increased 42.4% at the lateral tibial cartilage. The Von Mises stresses decreased 57.1% at the femoral cartilage and decreased 79.1% at tibial cartilage. The stress on the tibial cartilage increased 44.6%, and stress on the talar cartilage increased 7.1% at the ankle joint. CONCLUSIONS FEA revealed that main loading at the knee joint shifted from medial tibial cartilage to the lateral tibial cartilage after PFO. Additionally, the stresses on each cartilage were redistributed across a wider and more peripheral area. FEA also demonstrated that the Von Mises stresses of the tibial and talar cartilages of the ankle joint increased after PFO. Key words: knee pain, osteoarthritis, osteotomy, finite element analysis, axial loadings.
- MeSH
- analýza metodou konečných prvků MeSH
- biomechanika MeSH
- hlezenní kloub * diagnostické zobrazování chirurgie MeSH
- kolenní kloub * diagnostické zobrazování chirurgie MeSH
- lidé MeSH
- mechanický stres MeSH
- osteotomie MeSH
- tibie diagnostické zobrazování chirurgie MeSH
- Check Tag
- lidé MeSH
- ženské pohlaví MeSH
- Publikační typ
- časopisecké články MeSH
This study investigated the effect of implant thickness and material on deformation and stress distribution within different components of cranial implant assemblies. Using the finite element method, two cranial implants, differing in size and shape, and thicknesses (1, 2, 3 and 4 mm, respectively), were simulated under three loading scenarios. The implant assembly model included the detailed geometries of the mini-plates and micro-screws and was simulated using a sub-modeling approach. Statistical assessments based on the Design of Experiment methodology and on multiple regression analysis revealed that peak stresses in the components are influenced primarily by implant thickness, while the effect of implant material is secondary. On the contrary, the implant deflection is influenced predominantly by implant material followed by implant thickness. The highest values of deformation under a 50 N load were observed in the thinnest (1 mm) Polymethyl Methacrylate implant (Small defect: 0.296 mm; Large defect: 0.390 mm). The thinnest Polymethyl Methacrylate and Polyether Ether Ketone implants also generated stresses in the implants that can potentially breach the materials' yield limit. In terms of stress distribution, the change of implant thickness had a more significant impact on the implant performance than the change of Young's modulus of the implant material. The results indicated that the stresses are concentrated in the locations of fixation; therefore, the detailed models of mini-plates and micro-screws implemented in the finite element simulation provided a better insight into the mechanical performance of the implant-skull system.
- MeSH
- analýza metodou konečných prvků MeSH
- femur chirurgie MeSH
- fraktury kyčle chirurgie MeSH
- kostní destičky MeSH
- kostní šrouby MeSH
- lidé středního věku MeSH
- lidé MeSH
- reoperace MeSH
- retrospektivní studie MeSH
- senioři nad 80 let MeSH
- senioři MeSH
- vnitřní fixace fraktury metody přístrojové vybavení MeSH
- výsledek terapie MeSH
- Check Tag
- lidé středního věku MeSH
- lidé MeSH
- senioři nad 80 let MeSH
- senioři MeSH
- ženské pohlaví MeSH
- Publikační typ
- práce podpořená grantem MeSH
BACKGROUND: The spatially varying mechanical properties in finite element models of bone are most often derived from bone density data obtained via quantitative computed tomography. The key step is to accurately and efficiently map the density given in voxels to the finite element mesh. METHODS: The density projection is first formulated in least-squares terms and then discretized using a continuous and discontinuous variant of the finite element method. Both discretization variants are compared with the nodal and element approaches known from the literature. FINDINGS: In terms of accuracy in the L2 norm, energy distance and efficiency, the discontinuous zero-order variant appears to be the most advantageous. The proposed variant sufficiently preserves the spectrum of density at the edges, while keeping computational cost low. INTERPRETATION: The continuous finite element method is analogous to the nodal formulation in the literature, while the discontinuous finite element method is analogous to the element formulation. The two variants differ in terms of implementation, computational cost and ability to preserve the density spectrum. These differences cannot be described and measured by known indirect methods from the literature.
Úvod a cíl práce: Mechanický přenos zatížení na kost ovlivňuje kromě materiálových vlastností implantátu (mikrodesign), zejména typ použitého závitu a jeho parametry (makrodesign). Rozeznáváme čtyři základní tvary závitů: a) metrický, b) plochý, c) pilovitý, d) obrácený pilovitý a dva modifikované tvary podle ISO TC 150 normy: e) ISO Shallow HA kortikální a f) ISO Deep HB spongiózní. Mechanický přenos charakterizuje míru přenosu mechanického napětí ze závitu do kosti a je menší než jedna. V ideálním případě je roven jedné, ale vlivem odlišné pevnosti a pružnosti kosti a materiálu závitu je obtížné této hodnoty dosáhnout. Byly stanoveny dva cíle studie. Prvním bylo zjistit rozložení napjatosti (tj. tlakového, tahového a smykového napětí) nejčastěji používaných typů závitů zubních implantátů na rozhraní implantát – kost. Druhým cílem byl popis mechanické kompatibility (čili mechanického přenosu zatížení z implantátu na okolní kost) u stejných typů závitů. Metody: Pro modelování vlivu tvaru závitu implantátu na rozložení napětí v místě rozhraní implantát – kost jsme použili metodu konečných prvků v programu MSC Marc (MSC Software s.r.o., ČR) a metodiku podle Gefena, při které jsme analýze podrobili celou délku kontaktu implantátu s kostí. Definování okrajových podmínek. Velikost zatěžující síly byla F = 100 N, směr síly byl totožný s dlouhou osou implantátu a působiště síly bylo v jeho krčkové části.Charakterizování materiálového modelu. K popisu materiálových vlastností kosti jsme použili izotropní model, který definují dvě konstanty: Youngův modul pružnosti (E) a Poissonovo číslo (μ).Definování typu úlohy. Model byl simulován jako prostorová osově symetrická úloha. Výsledky: Z hlediska tahového napětí se ukazuje jako nejlepší závit ISO Shallow HA, v případě tlakového a smykového napětí se jeví nejvhodnějším plochý závit. Výsledky spočítané metodou konečných prvků u všech typů simulovaných závitů potvrzují, že v závitovém spojení je největší podíl napětí soustředěn v prvních cervikálních závitech. Diskuse a závěr: Z provedených simulací plyne, že profil závitu hraje významnou roli v ovlivnění velikosti a rozložení napětí v okolní kosti a mechanické kompatibility. Naše matematická studie neprokazuje, že existuje jeden ideální závit pro dentální implantát.
Introduction, Aim: Mechanical transfer of load onto the bone affects, besides implant material properties (microdesign), especially the type of thread used and its parameters (macrodesign). There are four basic types of thread: a) metric, b) flat, c) saw-tooth, d) inverted saw-tooth and two modified shapes as specified in standard ISO TC 150: e) ISO Shallow HA cortical, and f) ISO Deep HB cancellous. Mechanical transfer is a characteristic of the rate of mechanical stress transfer from thread to bone, which is less than one. The value of one constitutes an ideal situation but due to different strengths and elasticities in the bone and in the thread material, respectively, this value is difficult to achieve. Two objectives were set for the study. The one was to establish stress (tensile, compressive, and shear) distribution with the most used types of dental implant threads at the implant bone contact. The other objective was to characterize mechanical compatibility (or mechanical transfer of load from implant onto adjacent bone) with the same types of thread. Methods: The Finite Element Method using MSC Marc (MSC Software s.r.o.) program and methodology by Amit Gefen were utilized while the entire implant bone contact length was analysed. The model generation process consists of three stages. Definition of boundary conditions. The load force was F = 100N, direction of force was identical with the implant longitudinal axis while the origin of force was at its cervical area.Establishing material model characteristics. Isotropic model, specified with two constants, was used to establish characteristics of material properties: Young’s modulus of elasticity (E) and Poisson’s ratio (μ)Task specifications. The model was simulated as a 3D axisymmetric task. Results: The ISO Shallow HA thread comes out as the best one from the tensile stress’s point of view whereas the flat thread appears to be the most convenient when considering compressive or shear stress. The results computed using the Finite Element Method with all types of threads simulated confirm that the largest part of stress in threaded connection is found in the foremost cervical turns of thread. Discussion and Conclusion: The simulations carried out implicate that the thread cross section shape plays an important role in affecting stress amplitude and distribution adjacent to the bone as well as mechanical compatibility. Our mathematical study does not prove that there is one single ideal type of thread for dental implants.
- Klíčová slova
- dentální implantát, analýza konečných prvků, mechanická kompatibilita, napětí, závit,
- MeSH
- analýza metodou konečných prvků * statistika a číselné údaje MeSH
- kostní šrouby MeSH
- mechanický stres * MeSH
- návrh zubní protézy MeSH
- pevnost v tahu MeSH
- pevnost ve smyku MeSH
- počítačová simulace MeSH
- zubní implantáty * klasifikace normy MeSH
- Publikační typ
- hodnotící studie MeSH
INTRODUCTION AND HYPOTHESIS: During vaginal delivery, the levator ani muscle (LAM) undergoes severe deformation. This stress can lead to stretch-related LAM injuries. The objective of this study was to develop a sophisticated MRI-based model to simulate changes in the LAM during vaginal delivery. METHODS: A 3D finite element model of the female pelvic floor and fetal head was developed. The model geometry was based on MRI data from a nulliparous woman and 1-day-old neonate. Material parameters were estimated using uniaxial test data from the literature and by least-square minimization method. The boundary conditions reflected all anatomical constraints and supports. A simulation of vaginal delivery with regard to the cardinal movements of labor was then performed. RESULTS: The mean stress values in the iliococcygeus portion of the LAM during fetal head extension were 4.91-7.93 MPa. The highest stress values were induced in the pubovisceral and puborectal LAM portions (mean 27.46 MPa) at the outset of fetal head extension. The last LAM subdivision engaged in the changes in stress was the posteromedial section of the puborectal muscle. The mean stress values were 16.89 MPa at the end of fetal head extension. The LAM was elongated by nearly 2.5 times from its initial resting position. CONCLUSIONS: The cardinal movements of labor significantly affect the subsequent heterogeneous stress distribution in the LAM. The absolute stress values were highest in portions of the muscle that arise from the pubic bone. These areas are at the highest risk for muscle injuries with long-term complications.
- MeSH
- analýza metodou konečných prvků * MeSH
- anatomické modely * MeSH
- biomechanika MeSH
- distorze a distenze etiologie MeSH
- dospělí MeSH
- hlava anatomie a histologie MeSH
- kosterní svaly zranění MeSH
- lidé MeSH
- magnetická rezonanční tomografie MeSH
- novorozenec MeSH
- pánevní dno anatomie a histologie diagnostické zobrazování fyziologie MeSH
- plod anatomie a histologie MeSH
- pružnost MeSH
- těhotenství MeSH
- vedení porodu škodlivé účinky MeSH
- zobrazování trojrozměrné metody MeSH
- Check Tag
- dospělí MeSH
- lidé MeSH
- novorozenec MeSH
- těhotenství MeSH
- ženské pohlaví MeSH
- Publikační typ
- časopisecké články MeSH
Large mandibular continuity defects pose a significant challenge in oral maxillofacial surgery. One solution to this problem is to use computer-guided surgical planning and additive manufacturing technology to produce patient-specific reconstruction plates. However, when designing customized plates, it is important to assess potential biomechanical responses that may vary substantially depending on the size and geometry of the defect. The aim of this study was to assess the design of two customized plates using finite element method (FEM). These plates were designed for the reconstruction of the lower left mandibles of two ameloblastoma cases (patient 1/plate 1 and patient 2/plate 2) with large bone resections differing in both geometry and size. Simulations revealed maximum von Mises stresses of 63 MPa and 108 MPa in plates 1 and 2, and 65 MPa and 190 MPa in the fixation screws of patients 1 and 2. The equivalent strain induced in the bone at the screw-bone interface reached maximum values of 2739 micro-strain for patient 1 and 19,575 micro-strain for patient 2. The results demonstrate the influence of design on the stresses induced in the plate and screw bodies. Of particular note, however, are the differences in the induced strains. Unphysiologically high strains in bone adjacent to screws can cause micro-damage leading to bone resorption. This can adversely affect the anchoring capabilities of the screws. Thus, while custom plates offer optimal anatomical fit, attention should be paid to the expected physiological forces on the plates and the induced stresses and strains in the plate-screw-bone assembly.
- MeSH
- analýza metodou konečných prvků MeSH
- dospělí MeSH
- interní fixátory MeSH
- kostní destičky MeSH
- kostní šrouby * MeSH
- lidé středního věku MeSH
- lidé MeSH
- mandibula anatomie a histologie chirurgie MeSH
- mechanický stres * MeSH
- počítačová rentgenová tomografie metody MeSH
- počítačová simulace MeSH
- počítačové zpracování obrazu metody MeSH
- software MeSH
- tlak MeSH
- zákroky plastické chirurgie metody MeSH
- Check Tag
- dospělí MeSH
- lidé středního věku MeSH
- lidé MeSH
- mužské pohlaví MeSH
- ženské pohlaví MeSH
- Publikační typ
- časopisecké články MeSH
- práce podpořená grantem MeSH
BACKGROUND AND OBJECTIVE: Total knee arthroplasty (TKA) with modern all-polyethylene tibial (APT) components has shown high long-term survival rates and comparable results to those with metal-backed tibial components. Nevertheless, APT components are primarily recommended for older and low-demand patients. There are no evidence-based biomechanical guidelines for orthopaedic surgeons to determine the appropriate lower age limit for implantation of APT components. A biomechanical analysis was assumed to be suitable to evaluate the clinical results in patients under 70 years. The scope of this study was to determine biomechanically the appropriate lower age limit for implantation of APT components. METHODS: To generate data of the highest possible quality, the geometry of the computational models was created based on computed tomography (CT) images of a representative patient. The cortical bone tissue model distinguishes the change in mechanical properties described in three parts from the tibial cut. The cancellous bone material model has a heterogeneous distribution of mechanical properties. The values used to determine the material properties of the tissues were obtained from measurements of a CT dataset comprising 45 patients. RESULTS: Computational modeling showed that in the majority of the periprosthetic volume, the von Mises strain equivalent ranges from 200 to 2700 με; these strain values induce bone modeling and remodeling. The highest measured deformation value was 2910 με. There was no significant difference in the induced mechanical response between bone models of the 60-year and 70-year age groups, and there was <3% difference from the 65-year age group. CONCLUSIONS: Considering in silico limitations, we suggest that APT components could be conveniently used on a bone with mechanical properties of the examined age categories. Under defined loading conditions, implantation of TKA with APT components is expected to induce modeling and remodeling of the periprosthetic tibia. Following clinical validation, the results of our study could modify the indication criteria of the procedure, and lead to more frequent implantation of all-polyethylene TKA in younger patients.
- MeSH
- analýza metodou konečných prvků MeSH
- biomechanika MeSH
- kovy MeSH
- lidé MeSH
- mechanický stres MeSH
- polyethylen MeSH
- protézy - design MeSH
- protézy kolene * MeSH
- tibie diagnostické zobrazování chirurgie MeSH
- totální endoprotéza kolene * metody MeSH
- Check Tag
- lidé MeSH
- Publikační typ
- časopisecké články MeSH
