Application of Finite Element Analysis in Oral and Maxillofacial Surgery—A Literature Review

Lisiak-Myszke, Magdalena; Marciniak, Dawid; Bieliński, M.; Sobczak, Hanna; Garbacewicz, Łukasz; Drogoszewska, Barbara

doi:10.3390/ma13143063

Cited by 86 publications

(68 citation statements)

References 56 publications

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“…Oral and maxillofacial surgery is one branch of dentistry, which has always been associated with biomechanics. Trauma surgery, orthognathic surgery, reconstructive surgery are the subdivisions where understanding the mechanism of fractures and its biological response to the biomechanical change are worth knowing for optimal treatment method and outcome [43].…”

Section: Application Of Fea In Trauma and Fracturesmentioning

confidence: 99%

Finite Element Analysis and Its Applications in Dentistry

Bandela¹,

Kanaparthi²

2021

Finite Element Methods and Their Applications

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Finite Element Analysis or Finite Element Method is based on the principle of dividing a structure into a finite number of small elements. It is a sophisticated engineering tool, which has been used extensively in design optimization and structural analysis first originated in the aerospace industry to study stress in complex airframe structures. This method is a way of getting a numerical solution to a specific problem, used to analyze stresses and strains in complex mechanical systems. It enables the mathematical conversion and analysis of mechanical properties of a geometric object with wide range of applications in dental and oral health science. It is useful for specifying predominantly the mechanical aspects of biomaterials and human tissues that cannot be measured in vivo. It has various advantages, can be compared with studies on real models, and the tests are repeatable, with accuracy and without ethical concerns.

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Section: Application Of Fea In Trauma and Fracturesmentioning

confidence: 99%

Finite Element Analysis and Its Applications in Dentistry

Bandela¹,

Kanaparthi²

2021

Finite Element Methods and Their Applications

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“…The finite element method (FEM) [25][26][27][28][29][30][31] is adopted to analyze the electric field with the space-charge in WDESP configurations with high-temperature the incoming gases. Deutsch's assumption and the constant value of field intensity at the surface periphery of the discharge wires can be corrected or eliminated using the FEM technique.…”

Section: Finite Element-based Corona Current-voltage Characteristics mentioning

confidence: 99%

“…For each element, the potential Φ is a linear function of coordinates which is expressed as [29,[31][32][33][34]:…”

Section: Solution Of Poisson's Equation Using Femmentioning

confidence: 99%

“…where p, s, and t: nodes at element e; W: the corresponding space shape function, as shown in Figure 7. An energy function RF (e) is used to solve Poisson's equation, which listed in Equation (19) [29,[31][32][33][34]:…”

Section: Solution Of Poisson's Equation Using Femmentioning

confidence: 99%

“…where [k e ]: element stiffness matrix; [Φ e ]: unknown potentials with the space-charge of the element nodes; [ f e ]: the free term which entails charge density values at the element nodes, which is calculated for any element as [29,[31][32][33][34]:…”

Section: Solution Of Poisson's Equation Using Femmentioning

confidence: 99%

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Finite Element Solution of the Corona Discharge of Wire-Duct Electrostatic Precipitators at High Temperatures—Numerical Computation and Experimental Verification

et al. 2020

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Global warming is the greatest challenge faced by humankind, and the only way to reduce or totally eliminate its effects is by minimizing CO2 emissions. Electrostatic precipitators are very useful as a means to reduce emissions from heavy industry factories. This paper aims to examine the performance of wire-duct electrostatic precipitators (WDESP) as affected by high-temperature incoming gases with a varying number of discharge wires while increasing their radius. The precipitator performance is expressed in terms of the corona onset voltage on the stressed wires and the corona current–voltage (I–V) characteristic of the precipitators working with incoming gases at high temperatures. The start of the corona onset voltage on the surface of the discharge wires is calculated for the precipitators under high temperatures based on the standard of the self-repeat of avalanches’ electrons developing on the surface of the stressed wires at high temperatures. For this, calculating the electrostatic field in the precipitators with single- and multi-discharge wires due to the stressed wire with the use of the well-known charge simulation method (CSM) with high-temperature incoming gases is important. The modeling of corona I–V characteristics is adopted using the finite element method (FEM) for single- and multi- (3-, 5-, and 7-) discharge wires of WDESP with high-temperature incoming gases. Additionally, the electrostatic field, potential, and space charge of WDESP are calculated by a simultaneous solution of equations of Poisson, current density, and the continuity current density. A WDESP was set up in the Laboratory of High Voltage Engineering of Czech Technical University (CTU) in Prague, the Czech Republic, to measure the corona onset voltage values and corona I–V characteristics for different WDESP configurations at high temperatures with a varying number of discharge wires while increasing their radius. The calculated values of the corona onset voltage based on CSM and the calculated corona I–V characteristics based on FEM agree reasonably with those measured experimentally with high-temperature WDESP.

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An experimental and numerical study on an innovative metastructure for 3D printed thermoplastic polyurethane with auxetic performance

Mojaver,

Azdast,

Hasanzadeh

2024

Polymers for Advanced Techs

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Metamaterials are specifically designed materials that possess unique properties that cannot be found in naturally occurring substances. These remarkable materials have the capability to bring about a significant transformation across a wide range of industries. Auxetic structures are a recent area of research possess a distinctive characteristic known as a negative Poisson's ratio. Unlike conventional materials that contract when stretched, auxetic structures actually expand in two dimensions. In this study, a new auxetic structure was introduced, and thermoplastic polyurethane samples were 3D printed using a fused filament fabrication method. The samples are then subjected to strains ranging from 5% to 50% and Poisson's ratios are measured both experimentally and numerically using finite element method in Ansys software. By comparing the results of the experimental research and simulation, it is evident that applying strains within this range causes the Poisson's ratio of the samples to change from −0.81 to −0.14 and it showed that the newly introduced structure is auxetic. According to the analysis of root mean square error, the hexagonal mesh with a size of 0.7 mm consistently produced the most accurate results, aligning closely with the experimental sample. Given that this is an entirely novel auxetic structure within the category of arrow‐head auxetic structures, there is potential for future research to be conducted in order to further develop and enhance this model.

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Application of Finite Element Analysis in Oral and Maxillofacial Surgery—A Literature Review

Cited by 86 publications

References 56 publications

Finite Element Analysis and Its Applications in Dentistry

Finite Element Analysis and Its Applications in Dentistry

Finite Element Solution of the Corona Discharge of Wire-Duct Electrostatic Precipitators at High Temperatures—Numerical Computation and Experimental Verification

An experimental and numerical study on an innovative metastructure for 3D printed thermoplastic polyurethane with auxetic performance

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