• Title/Summary/Keyword: Principal Stress

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Fatigue Life Prediction of FRP Composites under Uniaxial Tension and Pure Torsion Loadings (인장-비틀림 하중에 의한 섬유강화 복합재료의 피로수명 예측)

  • Park Sung-Oan
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.13 no.6
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    • pp.64-73
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    • 2004
  • A fatigue damage accumulation model based on the continuum damage mechanics theory was developed where modulus decay ratios in tension and shear were used as indicators for damage variables D. In the model, the damage variables are considered to be second-order tensors. Then, the maximum principal damage variable, $D^*$ is introduced. According to the similarity to the principal stress, $D^*$ is obtained as the maximum eigen value of damage tensor [D]. Under proportional tension and torsion loadings, fatigue lives were satisfactorily predicted at any combined stress ratios using the present model in which the Fatigue characteristics only under uniaxial tension and pure torsion loadings were needed. Fatigue life prediction under uniaxial tension and pure torsion loadings, was performed based on the damage mechanics using boundary element method.

Comparison of Petaloid Bottom Design for Carbonated Soft Drink PET Bottle through Computer Simulation

  • Dong-Hae Choi;Kyeong Hoon Cho;Kyoung Woo Nam;Woo Min Kim;Baek Rim Yeon;Min-Young Lyu
    • Elastomers and Composites
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    • v.57 no.4
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    • pp.205-214
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    • 2022
  • Research on reducing the thickness of polyethylene terephthalate (PET) bottles is necessary to reduce the amount of plastic used. However, as decreasing a PET bottle's thickness weakens it, a robust bottle design is required. Therefore, in this study, we numerically analyzed various bottom designs of a carbonated soft drink PET bottle with 245 and 500 ml capacities and complicated petaloid shapes. Deformation, equivalent stress, maximum principal stress, and its direction according to each design were analyzed to study the strength of the bottle. The results serve as a reference to design robust petaloid PET bottle bottoms with a reduced thickness for carbonated soft drinks.

A Closed-Form Solution for Circular Openings in an Elastic-Brittle-Plastic Extended Spatial Mobilized Plane Medium

  • Wu, Chuangzhou;Guo, Wei;Jang, Bo-An
    • The Journal of Engineering Geology
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    • v.32 no.1
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    • pp.1-12
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    • 2022
  • Based on the extended spatial mobilization plane (SMP) criterion, we present an elastic-brittle-plastic solution for an axisymmetric cylindrical tunnel. The influences of the intermediate principal compressive stress and material strain-softening behavior are considered. Closed-form formulas for the critical support force, radius of plastic zone, and distributions of stress and displacement in surrounding rock are proposed. The elastic-plastic solution based on SMP is compared with the Kastner solution to verify the credibility of the obtained elastic-plastic solution. The elastic-brittle-plastic solution following the SMP criterion and the current solution based on the Mohr-Coulomb criterion are also compared. The rock strain-softening rate and the intermediate principal stress affect the stability of the surrounding rock. The results provide guidance for optimizing the design of support systems for tunnels.

A study on the Fatigue Life Prediction Method of the Spot-welded Lap Joint (점용접이음재의 피로수명 예측기법에 관한 연구)

  • 손일선;배동호
    • Transactions of the Korean Society of Automotive Engineers
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    • v.8 no.3
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    • pp.110-118
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    • 2000
  • For reasonable fatigue design and estimation of fatigue durability considered fatigue strength and stiffness of the automotive body structure, many fatigue data must be insured according to the shapes, materials, and welding conditions of the spot welded lap joints. However, because it is actually difficult problem, there is need to establish a new method to be able to predict its fatigue life without any additional fatigue tests. Therefore, In order to improve such problems, in this study, the maximum stress function presenting the $\delta\sigma_{1max}―\delta P$ relation was defined form the relation between $\delta\sigma_{1max}-N_f$ and ${\delta}P-N_f$. By using the fatigue data on the IB type spot-welded lap joints previously obtained from the fatigue test results, fatigue life of the spot-welded lap joint previously obtained from the fatigue test results, fatigue life of the spot-welded lap joint having a certain dimension was tried to predict without any additional fatigue tests. And, its result was verified by ${\delta}P-$N_f$ curves. Obtained conclusion are as follows, 1) a maximum stress function considered the relation of the maximum principal stress, fatigue load, and the effects of geometrical factors of the IB type spot-welded lap joint was suggested. 2) the fatigue life predicted by the maximum principal stress function and the relation of $\delta\sigma_{1max}-N_f$ was well agreed with the fatigue life obtained through the actual fatigue test result. 3) the fatigue life of the IB type spot-welded lap joint having a certain dimension is able to be predicted without any additional fatigue tests from the fatigue life prediction method by the maximum principal stress function.

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Finite Element Analysis of Stress Distribution around Patterned Implants

  • Cho, Lee-Ra;Huh, Yoon-Hyuk;Kim, Dae-Gon;Park, Chan-Jin
    • Journal of Korean Dental Science
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    • v.5 no.1
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    • pp.13-20
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    • 2012
  • Purpose: The purpose of this study was to investigate the effect of patterning on the stress distribution in the bone tissue using the finite element analysis (FEA) model. Materials and Methods: For optimal comparison, it was assumed that the implant was axisymmetric and infinitely long. The implant was assumed to be completely embedded in the infinitely long cortical bone and to have 100% bone apposition. The implant-bone interface had completely fixed boundary conditions and received an infinitely big axial load. von Mises stress and maximal principal stress were analyzed. Conventional thread and 2 or 3 patterns on the upper and lower flank of the thread were compared. Result: The surface areas of patterned implants were increased up to 106~115%. The thread with patterns distributed stress better than conventional thread. Patterning in threads may produce more stress in the implant itself, but reduce stress in the surrounding bone. Stress patterns of von Mises stress were favorable with patterns, while the maximal principal stress was increased with patterns. Patterns in the lower flank showed favorable stress distribution. Conclusion: The patterns in implant thread reduce the stress generated in surrounding bone, but the number and position of patterns were crucial factors in stress distribution.

Fracture Mechanical Fatigue Strength Evaluation of IB-Type Spot Welded Lap Joint under Tension-Shear Load (인장-전단하중을 받는 IB형 일점 Spot 용접이음재의 파괴역학적 피로강도 평가)

  • 손일선;정원석;이휘광;배동호
    • Transactions of the Korean Society of Automotive Engineers
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    • v.6 no.5
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    • pp.20-27
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    • 1998
  • According as the member of the automobile body structure have been thinned their thickness and have become high strength, each part of the body structure has been put more severe stress condition. And, because fatigue strength of the spot welded lap joint is influenced by its geometrical and mechanical factors, welding condition and etc., there needs a quantitative and systematic evaluation method for them. In this study, by considering nugget edge of the spot weld part of the IB-type spot welded lap joint under tension-shear load to the ligament crack. fatigue strength of various IB-type spot welded lap joints was estimated with the stress intensity factor(S.I.F.) KIII which is fracture mechanical parameter. We could find that fatigue strength evaluation of the IB-type spot welded lap joints by KIII is more effective than the maximum principal stress ($\sigma$1max) at edge of the spot weld obtained from FEM analysis.

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MECHANICAL PROPERTIES OF TWO-WAY DIFFERENT CONFIGURATIONS OF PRESTRESSED CONCRETE MEMBERS SUBJECTED TO AXIAL LOADING

  • ZHANG, CHAOBI;CHEN, JIANYUN;XU, QIANG;LI, JING
    • Nuclear Engineering and Technology
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    • v.47 no.5
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    • pp.633-645
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    • 2015
  • In order to analyze the mechanical properties of two-way different configurations of prestressed concrete members subjected to axial loading, a finite element model based on the nuclear power plant containments is demonstrated. This model takes into account the influences of different principal stress directions, the uniaxial or biaxial loading, and biaxial loading ratio. The displacement-controlled load is applied to obtain the stress estrain response. The simulated results indicate that the differences of principal stress axes have great effects on the stress-strain response under uniaxial loading. When the specimens are subjected to biaxial loading, the change trend of stress with the increase of loading ratio is obviously different along different layout directions. In addition, correlation experiments and finite element analyses were conducted to verify the validity and reliability of the analysis in this study.

Three-dimensional finite element analysis of stress distribution for different implant thread slope and implant angulation (임플란트 나사선 경사각과 식립 각도에 따른 3차원 유한요소 응력분석)

  • Seo, Young-Hun;Lim, Hyun-Pil;Yun, Kwi-Dug;Yoon, Suk-Ja;Vang, Mong-Sook
    • The Journal of Korean Academy of Prosthodontics
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    • v.51 no.1
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    • pp.1-10
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    • 2013
  • Purpose: The purpose of this study was to find an inclination slope of the screw thread that is favorable in distributing the stresses to alveolar bone by using three dimensional finite element analysis. Materials and methods: Three types modelling changed implant thread with fixed pitch of 0.8 mm is the single thread implant with $3.8^{\circ}$ inclination, double thread implant with $7.7^{\circ}$ inclination and the triple thread implant with $11.5^{\circ}$ inclination. And three types implant angulation is the $0^{\circ}$, $10^{\circ}$ and $15^{\circ}$ on alveolar bone. The 9 modelling fabricated for three dimensional finite element analysis that restored prosthesis crown. The crown center applied on 200 N vertical load and $15^{\circ}$ tilting load. Results: 1. The more tilting of implant angulation, the more Von-Mises stress and Max principal stress is increasing. 2. Von-Mises stress and Max principal stress is increasing when applied $15^{\circ}$ tilting load than vertical load on the bone. 3. When the number of thread increased, the amount of Von-Mises stress, Max principal stress was reduced since the generated stress was effectively distributed. 4. Since the maximum principal stress affects on the alveolar bone can influence deeply on the longevity of the implants. When comparing the magnitude of the maximum principal stress, the triple thread implant had a least amount of stress. This shows that the triple thread implant gave a best result. Conclusion: A triple thread implant to increase in the thread slope inclination and number of thread is more effective on the distribution of stress than the single and double thread implants especially, implant angulation is more tilting than $10^{\circ}$ on alveolar bone. Thus, effective combination of thread number and thread slope inclination can help prolonging the longevity of implant.

A TWO DIMENSIONAL STRESS ANALYSIS OF FIXED PROSTHESIS WITH OSSEOINTEGRATED IMPLANT AS AN INTERMEDIATE ABUTMENT (골유착성 임플란트를 중간 지대치로 사용한 고정성 보철물의 응력분석)

  • Park Sang-Soo;Vang Mong-Sook
    • The Journal of Korean Academy of Prosthodontics
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    • v.31 no.4
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    • pp.611-624
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    • 1993
  • The purpose of this study was to analyze the stress distribution of the natural teeth, the implant, the prosthesis and the supporting tissue according to the types of implant and connection modality in the five-unit fixed partial denture with a implant pier abutment. A Two dimensional stress analysis model was constructed to represent a mandible missing the first and second premolars and first molar. The model contained a canine and second molar as abutment teeth and implant pier abutments with and without stress-absorbing element. Finite element models were created and analyzed using software ANSYS 4.4A for IBM 32bit personal computer. The results obtained were as follows. 1. Implant group, compared to the natural teeth group, showed a maximum principal stress at the superior portion of implants and a stress concentration at :he neck and end portion. 2. Maximum principal stress and maximum Von Mises stress were always lower in the case of rigid connection than nonrigid connection. 3. A cylinder type implant with stress absorbing element and screw type implant were generally similar in the stress distribution pattern. 4. A screw type implant, compared to the cylinder type implant, showed a relatively higher stress concentration at both neck and end portion of it. 5. Load B cases showed higher stress concentration on the posterior abutments in the case of nonrigid connector than rigid connector. 6. A maximum displacement was always lower in the case of rigid connection than nonrigid connection. These results suggest that osseointegrated implant can be used as an intermediate abutment.

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Three dimensional finite element analysis of the stress on supporting bone by the abutment materials of dental implant (치과용 임플란트 지대주 재료에 따른 지지골 응력의 3차원 유한요소 분석)

  • Lee, Myung-Kon;Kim, Kap-Jin
    • Journal of Technologic Dentistry
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    • v.40 no.1
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    • pp.41-47
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    • 2018
  • Purpose: The purpose of this study was to analyze the biomechanical properties of the dental implants on the supporting bone using three-dimensional finite element method when three different abutment materials were applied to the implant system. Methods: Three different dental implant models were fabricated by applying Ti, PEEK, and CRE-PEEK (60% carbon-reinforced PEEK) to abutment material. The abutment and connecting screw from the fixture was applied with a tightening torque of 20 Ncm. And then, total loads of 150 N were applied in an $30^{\circ}oblique$ direction (to the vertical). The structural stability of dental implants on the supporting bone was analyzed using Von Mises stress and principal stress values. Results: The maximum tensile stress of the cortical bone was highest at 12.6 MPa in the PEEK abutment (Model-B). Ti abutment (Model-A) and CRE-PEEK abutment (Model-C) showed similar stress distributions (10.6 and 10.3 MPa, respectively). And the maximum compressive principal stress was similar in all models. The Von Mises stress value delivered to the bone around the implant was highest at 16.5 MPa in Model-B. On the other hand, Model-A and C showed similar stress distributions (14.0 and 13.8 MPa, respectively). In addition, the maximum equivalent stress applied to the abutment was highest at 629.8 MPa in Model-A. The stress distribution in Model-C was 573.9 MPa. Whereas, Model-B showed the lowest value at 165.6 MPa. Conclusion : The dental implant supporting bone system using PEEK material seems to have the possibility of supporting bone fracture. It was found that the CRE-PEEK abutment can reduce the elastic deformation and reduce the stress value of the interfacial bone.