scholarly journals Comparison of using different bridge prosthetic designs for partial defect restoration through mathematical modeling

2017 ◽  
Vol 11 (03) ◽  
pp. 345-351 ◽  
Author(s):  
Oksana Styranivska ◽  
Nataliia Kliuchkovska ◽  
Nataliya Mykyyevych
Keyword(s):  
Mathematical Modeling ◽  
Third Molar ◽  
Numerical Data ◽  
Stress Strain ◽  
Clinical Scenarios ◽  
Abutment Teeth ◽  
Intermediate Section ◽  
Deformation Level ◽  
Intermediate Part ◽  
Microsoft Office

ABSTRACT Objective: To analyze the stress–strain states of bone and abutment teeth during the use of different prosthetic designs of fixed partial dentures with the use of relevant mathematical modeling principles. Materials and Methods: The use of Comsol Multiphysics 3.5 (Comsol AB, Sweden) software during the mathematical modeling of stress–strain states provided numerical data for analytical interpretation in three different clinical scenarios with fixed dentures and different abutment teeth and demountable prosthetic denture with the saddle-shaped intermediate part. Statistical Analysis Used: Microsoft Excel Software (Microsoft Office 2017) helped to evaluate absolute mistakes of stress and strain parameters of each abutment tooth during three modeled scenarios and normal condition and to summarize data into the forms of tables. Results: In comparison with the fixed prosthetic denture supported by the canine, first premolar, and third molar, stresses at the same abutment teeth with the use of demountable denture with the saddle-shaped intermediate part decreased: at the mesial abutment tooth by 2.8 times, at distal crown by 6.1 times, and at the intermediate part by 11.1 times, respectively, the deformation level decreased by 3.1, 1.9, and 1.4 times at each area. Conclusions: The methods of mathematical modeling proved that complications during the use of fixed partial dentures based on the overload effect of the abutment teeth and caused by the deformation process inside the intermediate section of prosthetic construction.

scholarly journals Аналіз методів оцінки та впливу полірованості композитних матеріалів на функціональний прогноз реставрацій

2018 ◽  
Author(s):  
S. B. Kostenko ◽  
I. Y. Hangur ◽  
I. V. Sorokopud ◽  
M. Y. Goncharuk-Khomyn ◽  
G. N. Nakashidze
Keyword(s):  
Numerical Data ◽  
Color Stability ◽  
Stability Parameters ◽  
Force Microscopy ◽  
Composite Restorations ◽  
Usphs Criteria ◽  
Bacterial Plaque ◽  
Microsoft Office

Summary. Among the proposed USPHS criteria approved by FDI, the level of gloss and polishing of restorations plays a key role in preventing not only such complications  as disocorporations or changes in their texture in the future, but also preventing secondary caries and sealing disintegration, since areas with high roughness play the role of retention points for the accumulation of bacterial plaque and the further progression of the above-described complications.The aim of the study – to analyze the methods for assessing the quality of polishing composite restorations and to determine the role of influence roughness factor of their surface on the prediction of their functioning and change of color stability parameters, formation of biofilm and shine.Materials and Methods. Search of publications related to the topic of this analysis was conducted by the Google Scholar search engine by the keywords "roughness", "polishing", "composite restorations" and their analogues in English. The depth of search, taking into account the age of key articles, determined by the level of their citation in later periodicals, did not exceed 15 years. In order to organize the received data, Microsoft Excel 2016 (Microsoft Office) table editor was used to group  pre-selected articles based on the results of the provided content analysis.Results and Discussion. In the course of the analysis, it was established that the basic laboratory methods for assessing the roughness of the restoration surface, as an indicator of the quality of polishing, are atomic force microscopy, scanning electron microscopy and profilometry. Most often, in order to verify the aforementioned parameter in the analyzed studies, the Ra value of mean arithmetic deviation of the profile was used, on the basis of which analysis it was possible to determine the dependence of the possibilities for achieving the corresponding level of restoration polishing on the structure of the composite material used, the system and phases of polishing, and the tribological nature of the interaction of the polishing system and the surface of the restoration.Conclusions. The results of the analysis show that the data obtained in the course of previous clinical and laboratory studies dedicated to the effect of polishing on various restoration parameters are debatable and a more specific systematization is required, with the selection of the investigated aspects of brightness, roughness, color stability and functional prediction changes due to the polishing method in separate independent subjects for research, with further phased combination of them after obtaining unambiguous numerical data, subjected to appropriate objective interpretation.

scholarly journals Mathematical modeling of stress-strain state of elements of joints of wooden structures on glued fiberglass washers

2021 ◽  
Vol 2131 (3) ◽  
pp. 032095
Author(s):  
M V Ariskin ◽  
D O Martyshkin ◽  
I V Vanin
Keyword(s):  
Mathematical Modeling ◽  
Bearing Capacity ◽  
Strain State ◽  
Single Component ◽  
Stress Strain ◽  
Design Models ◽  
Stress Strain State ◽  
Deformed State ◽  
Wooden Structures

Abstract Design models of single-component and three-component samples were developed on glued fiberglass washers in order to investigate the stress-strain state (SF) of the elements of joints of wooden structures. The picture and the nature of the actual stressed-deformed state of the wooden element with glued washers are obtained. Quite high bearing capacity of wooden structures connection is shown.

scholarly journals A Learning Outcomes Assessment Analysis based on the Mathematical Modeling of RaschGSP Curve, GSM and MSM

2016 ◽  
Vol 3 (1) ◽  
pp. 109 ◽  
Author(s):  
Hui-Chung Ho ◽  
Hsiu-Jye Chiang ◽  
Duc-Hieu Pham ◽  
Woody Jann-Der Fann ◽  
Masatake Nagai
Keyword(s):  
Mathematical Modeling ◽  
Learning Outcomes ◽  
Educational Research ◽  
Assessment Tool ◽  
Numerical Data ◽  
Structural Modeling ◽  
Interpretive Structural Modeling ◽  
Learning Outcomes Assessment ◽  
Q Matrix ◽  
Teaching Learning

This paper presents an educational praxis of classroom assessment in curriculum and learning outcomes of “Introduction to Education”, and constructs assessment tool and analyzes them based on the mathematical modeling, the former with Q Matrix and ISM (Interpretive Structural Modeling), the latter mainly with Nagai’s GSP (Grey S-P) Chart, RaschGSP Curve, GSM (Grey Structural Modeling) and MSM (Matrix Based Structure Modeling). It aims: (1) To use and implement numerical value as the code for processing data, (2) To analyze and diagnose based on raw numerical values, (3) To illustrate and explain in visual diagraph analysis. Moreover, it is worth mentioning that applying mathematical logic in educational research, and such tools are not in favor of the quantitative approach, rather claimed unique feature of math logic, in benefit to: (1) Interface qualitative contextual analysis and quantitative numerical characters as the whole, (2) Convert teaching-learning praxis into binary numerical data, (3) Address alternative interdisciplinary educational research.

scholarly journals MATHEMATICAL MODELING OF STRESS-STRAIN STATE OF COMPOSITES REINFORCED WITH DISCRETE FIBERS IN TENSION AND COMPRESSION, TAKING INTO ACCOUNT PHYSICAL NONLINEARITY

2016 ◽  
Vol 38 (06) ◽  
pp. 124-130
Author(s):  
Andrei Mastislavovich Korneev ◽  
◽  
Olga Petrovna Buzina ◽  
Andrei Vladimirovich Sukhanov ◽  
Ilya Andreevich Shipulin ◽  
...  
Keyword(s):  
Mathematical Modeling ◽  
Strain State ◽  
Physical Nonlinearity ◽  
Stress Strain ◽  
Stress Strain State ◽  
Tension And Compression
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