• Title/Summary/Keyword: 3-dimensional stress

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Three-Dimensional Vibration Analysis of Solid Cylinders of N-Sided Polygonal Cross-Section Having V-notches or Sharp Cracks (V노치 및 예리한 균열을 갖는 N 다변형 단면 입체 실린더의 3차원 진동해석)

  • Kim, Joo Woo
    • Journal of Korean Society of Steel Construction
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    • v.21 no.4
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    • pp.433-442
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    • 2009
  • In this paper, new three-dimensional vibration data for the solid cylinders of the N-sided polygonal cross-section with V-notches or sharp cracks are presented, and a Ritz procedure is employed, which incorporates a mathematically complete set of algebraic-trigonometric polynomials in conjunction with an admissible set of edge functions that explicitly model the tri-axial stress singularities that exist along a terminus edge of the V-notch. Convergence studies demonstrate the necessity of adding the edge functions to achieve the accurate frequencies and mode shapes of N-sided polygonal cylindrical solids with stress singularities.

A THREE DIMENSIONAL FINITE ELEMENT STRESS ANALYSIS OF OSSEOINTEGRATED PROSTHESIS ACCORDING TO THE LOCATION AND LENGTH OF CANTILEVER (골유착성 임플랜트 보철물의 캔틸레버 위치와 길이변화에 따른 삼차원 유한요소법적 응력분석)

  • Jang, Bok-Sook;Kim, Chang-Whe;Kim, Yung-Soo
    • The Journal of Korean Academy of Prosthodontics
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    • v.34 no.3
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    • pp.501-532
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    • 1996
  • This study investigated the effects of cantilever length, location and load condition on stress distribution developed in the implants, prostheses and supporting tissues. The osseointegrated prostheses with two 10mm Branemark implants at 2nd premolar and 1st molar sites with cantilever extensions at 1st premolar, 2nd and 3rd molar sites were constructed. Under 100N, 200N of vertical and $45^{\circ}$ oblique loads at the cantilever pontics, stress distribution patterns and displacement were analyzed with three dimensional finite element method. The results were as follows : 1. The stress was concentrated at the joint of the cantilever pontic and implant superstructure, the neck of implant and the ridge crest near the cantilever But there was little load transfer to the lower supporting tissues of implants. 2. The implant near the cantilever was displaced inferiorly while the implant far from the cantilever was displaced superiorly. In horizontal direction the implants were displaced to the direction where the loads were applied, except the apexes of the implants. 3. In case of anterior cantilever, the stress and displacement were higher than the prosthesis connected with natural tooth. 4. The stress developed in the posterior cantilevered type was higher than in the anterior cantilevered type. The greastest stress was concentrated at the ridge crest near the posterior cantilever. 5. The longer the cantilever, the more the stress was developed and was concentrated at the joint of the cantilever pontic and implant superstructure. 6. Under oblique load, the stress was concentrated at the necks of implants and the ridge crests, but decreased at the joint of the cantilever pontic and implant superstructure than under vertical load.

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A new numerical modelling for evaluating the stress intensity factors in 3-D fracture analysis

  • Cao, Zongjie;Liu, Yongyu
    • Structural Engineering and Mechanics
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    • v.43 no.3
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    • pp.321-336
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    • 2012
  • As an improvement on the isoparametric element method, the derivation presented in this paper is close to that done by Wang (1990) for the 2-D finite element. We extend this idea to solve 3-D crack problems in this paper. A new displacement modelling is constructed with local solutions of three-dimensional cracks and a quasi-compatible isoparametric element for three-dimensional fracture mechanics analysis is presented. The stress intensity factors can be solved directly by means of the present method without any post-processing. A new method for calculating the stress intensity factors of three-dimensional cracks with complex geometries and loads is obtained. Numerical examples are given to demonstrate the validity of the present method. The accuracy of the results obtained by the proposed element is demonstrated by solving several crack problems. The results illustrate that this method not only saves much calculating time but also increases the accuracy of solutions. Because this quasi-compatible finite element of 3-D cracks contains any singularities and easily meets the requirement of compatibility, it can be easily implemented and incorporated into existing finite element codes.

3-D Analysis of Stress Distribution Around Micro Hole by F.E.M. (유한 요소법에 의한 미소 원공 주위의 응력 분포에 대한 3차원 해석)

  • 송삼홍;김진봉
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.5
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    • pp.1462-1471
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    • 1991
  • 본 연구에서는 미소 결함주위에서 발생, 전파하는 균열들에 미치는 초기 결함 깊이와 상호 간섭 영향을 검토하기 위하여 기존 재료가 갖고 있는 결함이나 비금속 개 재물로 대신할 수 있다고 생각되는 미소 원공의 크기를 변화시킨 모델에 대해 유한 요 소법을 이용하여 3차원적으로 응력을 해석하였다. 실제 사용하고 있는 부재에 결함 들이 존재할 경우 응력장의 간섭으로 피로 균열 진전이 가속화됨으로 미소 원공 주위 의 응력 분포 및 미소 원공사이의 응력장의 간섭과 미소 원공에서 발생, 전파하는 표 면 균열의 응력 확대 계수에 미치는 영향에 대하여 비교검토 하였다.

A 3-DIMENSIONAL FINITE ELEMENT STRESS ANALYSIS ON THE SUPPORTING TISSUES OF REMOVABLE PARTIAL DENTURES WITH VARIOUS RETAINER DESIGNS (국소의치 유지장치의 설계변화에 따른 지지조직의 3차원적 유한요소법 응력분석)

  • Kim, Ki-Sook;Kim, Kwang-Nam;Chang, Ik-Tae
    • The Journal of Korean Academy of Prosthodontics
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    • v.33 no.3
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    • pp.413-439
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    • 1995
  • The purpose of this study was to evaluate the stress distribution developed in the supporting structures by mandibular distal extension removable partial dentures with 2 different direct retainer designs and with or without indirect retainer and abutment splinting. The examined direct retainers on the second bicuspid abutment tooth were Akers clasp and RPA clasp, the indirect retainer was located on the mesial fossa of the first bicuspid, and the first and second bicuspid were splinted in case of tooth splinting. Total 8 cases were compared and analyzed with 3-dimensional finite element method. 150N were applied vertically on the artificial teeth of the removable partial denture, and then stress distribution patterns were analyzed and compared. The results were as follows : 1. The forces transmitted to the abutment tooth were primarily from the occlusal rests. 2. The abutment tooth was displaced distally when the force was applied. The compressive stress was observed at the distal root surface of the abutment tooth and the tensile stress, at the mesial root surface. 3. The denture base was displaced posteriorly and inferiorly when the force was applied. At the more distal portion of the denture base, the greater displacement was observed.And the anterior portion of the major connector was displaced superiorly. 4. The occlusal rest placed on the distal part of the abutment tooth tended to tip the tooth more posteriorly than did one on the mesial part of that tooth. 5. Severe superior displacement was observed at the anterior portion of the major connector in case of removable partial dentures without indirect retainer. 6. In case of tooth-splinting, the stress was distributed through all the root surface of both abuments. In case of no tooth-splinting, the stress was concentrated on the distal root surface of the primary abutment.

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Elastic-plastic Analysis of a 3-Dimensional Inner Crack Using Finite Element Alternating Method (유한요소 교호법을 이용한 삼차원 내부 균열의 탄소성 해석)

  • Park, Jai-Hak;Park, Sang-Yun
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.31 no.10
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    • pp.1009-1016
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    • 2007
  • Finite element alternating method has been suggested and used effectively to obtain the fracture parameters in assessing the integrity of cracked structures. The method obtains the solution from alternating independently between the FEM solution for an uncracked body and the crack solution in an infinite body. In the paper, the finite element alternating method is extended in order to obtain the elastic-plastic stress fields of a three dimensional inner crack. The three dimensional crack solutions for an infinite body were obtained using symmetric Galerkin boundary element method. As an example of a three dimensional inner crack, a penny-shaped crack in a finite body was analyzed and the obtained elastc-plastic stress fields were compared with the solution obtained from the finite element analysis with fine mesh. It is noted that in the region ahead of the crack front the stress values from FEAM are close to the values from FEM. But large discrepancy between two values is observed near the crack surfaces.

Finite Element Analysis for Lower End Fitting using 3-D Solid Modeler (3-D 솔리드모델러를 이용한 원자료 핵연료 하단고정체의 유한요소 해석)

  • 이상순;홍현기;문연철;전경락
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2001.04a
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    • pp.3-9
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    • 2001
  • In this study, the geometric modeling has been conducted for the current lower end fitting and 2 candidates using three-dimensional solid modeler, Solidworks. Then, the three-dimensional stress analysis using the finite element method has been performed. The evaluation for the mechanical integrity of 2 candidates has been performed based on the stress distribution obtained from the finite element analysis.

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3-Dimensional Modeling and Stress Analysis for Lever of Tank (전차레버에 대한 3차원 모델링 및 응력해석)

  • 김성진;이성범;윤중환
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2003.06a
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    • pp.1463-1466
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    • 2003
  • Korean tank has been used from the end of 1980's. Even though Korean tank is regarded as the tank which is made in Korea, a lot of parts still need to be imported from abroad. Therefore, the localization for the parts of Korean Tank is necessary to be set free from the rate of dependence on imports. In this research, one of the most important part of Korean Tank, Lever, was considered to carry out localization. For the first step, two dimensional drawing and three dimensional modeling of the Lever was done. Secondly, the stress analysis was carried out for Lever and it is shown that the predictions of the proposed modeling are in very good agreement with the expected results.

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Three-dimensional finite element analysis of implant-supported crown in fibula bone model

  • Park, Young-Seok;Kwon, Ho-Beom
    • The Journal of Advanced Prosthodontics
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    • v.5 no.3
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    • pp.326-332
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    • 2013
  • PURPOSE. The purpose of this study was to compare stress distributions of implant-supported crown placed in fibula bone model with those in intact mandible model using three-dimensional finite element analysis. MATERIALS AND METHODS. Two three-dimensional finite element models were created to analyze biomechanical behaviors of implant-supported crowns placed in intact mandible and fibula model. The finite element models were generated from patient's computed tomography data. The model for grafted fibula was composed of fibula block, dental implant system, and implant-supported crown. In the mandible model, same components with identical geometries with the fibula model were used except that the mandible replaced the fibula. Vertical and oblique loadings were applied on the crowns. The highest von Mises stresses were investigated and stress distributions of the two models were analyzed. RESULTS. Overall stress distributions in the two models were similar. The highest von Mises stress values were higher in the mandible model than in the fibula model. In the individual prosthodontic components there was no prominent difference between models. The stress concentrations occurred in cortical bones in both models and the effect of bicortical anchorage could be found in the fibula model. CONCLUSION. Using finite element analysis it was shown that the implant-supported crown placed in free fibula graft might function successfully in terms of biomechanical behavior.

Liquefaction Evaluation by One-Dimensional Effective Stress Analysis Using UBC3D-PLM Model (UBC3D-PLM 모델을 이용한 1차원 유효응력해석에 의한 액상화 평가)

  • Jung-Hoe Kim;Hyun-Sik Jin
    • The Journal of Engineering Geology
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    • v.33 no.1
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    • pp.151-167
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    • 2023
  • This study compares the revised method in loose saturated sandy ground where the LNG storage tank will be installed with an evaluation method by one-dimensional effective stress analysis using the UBC3D-PLM model. Various laboratory and field tests were conducted to establish the parameters necessary for evaluation. The revised liquefaction evaluation method using the seismic response analysis result and N value from standard penetration testing evaluated the possibility of liquefaction as high, but assessment using effective stress analysis, which can consider various liquefaction resistance factors, found the site to be somewhat stable against liquefaction. One-dimensional finite element analysis using UBC3D-PLM modeling facilitated easier assessment of stability against liquefaction than the other methods and minimized the area required for reinforcement against liquefaction. In addition, it is expected that two-and three-dimensional numerical analysis considering the foundation of the LNG storage tank can identify the seismic design and behavior when liquefaction occurs.