• 제목/요약/키워드: Unilateral contact problem

검색결과 7건 처리시간 0.02초

Analysis of slender structural elements under unilateral contact constraints

  • Silveira, Ricardo Azoubel Da Mota;Goncalves, Paulo Batista
    • Structural Engineering and Mechanics
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    • 제12권1호
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    • pp.35-50
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    • 2001
  • A numerical methodology is presented in this paper for the geometrically non-linear analysis of slender uni-dimensional structural elements under unilateral contact constraints. The finite element method together with an updated Lagrangian formulation is used to study the structural system. The unilateral constraints are imposed by tensionless supports or foundations. At each load step, in order to obtain the contact regions, the equilibrium equations are linearized and the contact problem is treated directly as a minimisation problem with inequality constraints, resulting in a linear complementarity problem (LCP). After the resulting LCP is solved by Lemke's pivoting algorithm, the contact regions are identified and the Newton-Raphson method is used together with path following methods to obtain the new contact forces and equilibrium configurations. The proposed methodology is illustrated by two examples and the results are compared with numerical and experimental results found in literature.

On the use of the Lagrange Multiplier Technique for the unilateral local buckling of point-restrained plates, with application to side-plated concrete beams in structural retrofit

  • Hedayati, P.;Azhari, M.;Shahidi, A.R.;Bradford, M.A.
    • Structural Engineering and Mechanics
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    • 제26권6호
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    • pp.673-685
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    • 2007
  • Reinforced concrete beams can be strengthened in a structural retrofit process by attaching steel plates to their sides by bolting. Whilst bolting produces a confident degree of shear connection under conditions of either static or seismic overload, the plates are susceptible to local buckling. The aim of this paper is to investigate the local buckling of unilaterally-restrained plates with point supports in a generic fashion, but with particular emphasis on the provision of the restraints by bolts, and on the geometric configuration of these bolts on the buckling loads. A numerical procedure, which is based on the Rayleigh-Ritz method in conjunction with the technique of Lagrange multipliers, is developed to study the unilateral local buckling of rectangular plates bolted to the concrete with various arrangements of the pattern of bolting. A sufficient number of separable polynomials are used to define the flexural buckling displacements, while the restraint condition is modelled as a tensionless foundation using a penalty function approach to this form of mathematical contact problem. The additional constraint provided by the bolts is also modelled using Lagrange multipliers, providing an efficacious method of numerical analysis. Local buckling coefficients are determined for a range of bolting configurations, and these are compared with those developed elsewhere with simplifying assumptions. The interaction of the actions in bolted plates during buckling is also considered.

시간에 따른 탄성지지 열탄성 접촉에 대한 열접촉저항의 영향 (Effects of Thermal Contact Resistance on Transient Thermoelastic Contacts for an Elastic Foundation)

  • 장용훈
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2005년도 춘계학술대회논문집
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    • pp.330-333
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    • 2005
  • The paper presents a numerical solution to the problem of a hot rigid indenter siding over a thermoelastic Winkler foundation with a thermal contact resistance at constant speed. It is shown analytically that no steady-state solution can exist for sufficiently high temperature or sufficiently small normal load or speed regardless of the thermal contact resistance. However, the steady state solution may exist in the same situation if the thermal contact resistance is considered. This means that the effect of the large values of temperature difference and small value of force or velocity which occur at no steady state can be lessened due to the thermal contact resistance. When there is no steady-state the predicted transient behavior involves regions of transient stationary contact interspersed with regions of separation regardless of the thermal contact resistance. Initially, the system typically exhibits a small number of relatively large contact and separation regions, but after the initial transient the trailing edge of the contact area is only established and the leading edge loses contact, reducing the total extent of contact considerably. As time progresses, larger and larger number of small contact areas are established, until eventually the accuracy of the algorithm is limited by the discretization used.

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MIXED FINITE VOLUME METHOD ON NON-STAGGERED GRIDS FOR THE SIGNORINI PROBLEM

  • Kim, Kwang-Yeon
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제12권4호
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    • pp.249-260
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    • 2008
  • In this work we propose a mixed finite volume method for the Signorini problem which are based on the idea of Keller's finite volume box method. The triangulation may consist of both triangles and quadrilaterals. We choose the first-order nonconforming space for the scalar approximation and the lowest-order Raviart-Thomas vector space for the vector approximation. It will be shown that our mixed finite volume method is equivalent to the standard nonconforming finite element method for the scalar variable with a slightly modified right-hand side, which are crucially used in a priori error analysis.

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T-Scan II 시스템을 이용한 습관적 편측저작자들의 교합 분석 (Occlusal Analysis of the Subjects with Chewing Side Preference Using the T-Scan II System)

  • 박은희;김미은;김기석
    • Journal of Oral Medicine and Pain
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    • 제31권3호
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    • pp.245-254
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    • 2006
  • 구강안면 영역의 통증이나 치아결손, 부정교합 같은 치아적 요소가 편측저작습관의 주요요인으로 여겨지나, 치아적 요소가 선호하는 저작측에 영향을 주지 않는다는 연구들도 있다. 본 연구에서는 컴퓨터화된 교합분석 시스템인 T-Scan II 시스템을 사용하여 편측으로 저작하는 대상자와 양측으로 저작하는 대상자 사이에 교합양상의 특이점이 있는지 조사하고 편측 저작자의 주저작측과 비저작측 사이의 차이를 함께 평가하고자 하였다. 편측저작습관에 대한 설문을 통하여 20명의 편측 저작자(평균 $25.25{\pm}2.84$세)와 20명의 양측 저작자(평균 $27.00{\pm}5.07$세)를 선정하였으며 치아적 문제나 악골의 통증이나 기능이상 같은 문제가 있는 경우는 모두 제외하였다. 습관적 폐구와 측방운동시의 교합양상은 T-Scan II 시스템을 이용하여 측정하였다. 습관적 폐구는 시간에 따라 초기, 중기, 말기로 나누었다. 각 세 단계에서의 접촉점의 수와 교합력의 비율을 좌우 양측으로 나누어 조사하였다. 습관적 페구 동안의 경과시간 및 치아 활주면적, 좌우측 각각의 측방운동시간이 측정되었다. 편측 저작 습관을 가진 사람들의 경우 양측 저작을 하는 사람에 비해서 치아의 평균 교합 면적이 작았다(p<0.005). 습관적 편측저작자에서 저작측과 비저작측을 비교해보았을 때 비저작측의 교합면적은 저작측에 비해 작았으나 (p<0.005), 편측저작자의 저작측과 양측저작군의 어느 한쪽의 교합면적 사이에는 유의한 차이가 없었다. 최초접촉부터 최대교두감합위까지의 경과 시간 및 측방운동 시간, 치아의 활주 면적 및 교합력의 좌우 비율도 양측저작군과 편측저작군 사이에 유의한 차이가 없었다. 이러한 결과는 저작시 좌우측 중 교합면적이 작은 측을 피하여 교합효율이 높은 방향으로 저작을 한다는 것을 의미한다.

Orienting the superficial inferior epigastric artery (SIEA) pedicle in a stacked SIEA-deep inferior epigastric perforator free flap configuration for unilateral tertiary breast reconstruction

  • Yu, Ya-han;Ghorra, Dina;Bojanic, Christine;Aria, Oti N.;MacLennan, Louise;Malata, Charles M.
    • Archives of Plastic Surgery
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    • 제47권5호
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    • pp.473-477
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    • 2020
  • Superficial inferior epigastric artery (SIEA) flaps represent a useful option in autologous breast reconstruction. However, the short-fixed pedicle can limit flap inset options. We present a challenging flap inset successfully addressed by de-epithelialization, turnover, and counterintuitive rotation. A 47-year-old woman underwent left tertiary breast reconstruction with stacked free flaps using right deep inferior epigastric perforator and left SIEA vessels. Antegrade and retrograde anastomoses to the internal mammary (IM) vessels were preferred; additionally, the thoracodorsal vessels were unavailable due to previous latissimus dorsi breast reconstruction. Optimal shaping required repositioning of the lateral ends of the flaps superiorly, which would position the ipsilateral SIEA hemi-flap pedicle lateral to and out of reach of the IM vessels. This problem was overcome by turning the SIEA flap on its long axis, allowing the pedicle to sit medially with the lateral end of the flap positioned superiorly. The de-epithelialized SIEA flap dermis was in direct contact with the chest wall, enabling its fixation. This method of flap inset provides a valuable solution for medializing the SIEA pedicle while maintaining an aesthetically satisfactory orientation. This technique could be used in ipsilateral SIEA flap breast reconstructions that do not require a skin paddle, as with stacked flaps or following nipple-sparing mastectomy.

Ti-6Al-4V 비드코팅 임프란트 시제품의 골유착에 대한 실험적 연구 (AN EXPERIMENTAL STUDY ON THE OSSEOINTEGRATION OF THE TI-6AL-4V BEAD COATING IMPLANTS)

  • 우진오;박봉욱;변준호;김승언;김규천;박봉수;김종렬
    • Maxillofacial Plastic and Reconstructive Surgery
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    • 제30권1호
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    • pp.52-59
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    • 2008
  • The geometric design of an implant surface may play an important role in affecting early osseointegration. It is well known that the porous surfaced implant had much benefits for the osseointegration and the early stability of implant. However, the porous surfaced implant had weakness from the transgingival contamitants, and it resulted in alveolar bone loss. The other problem identified with porous surface implant is the loss of physical properties resulting from the bead sintering process. In this study, we developed the new bead coating implant to overcome the disadvantages of porous surfaced implant. Ti-6Al-4V beads were supplied from STARMET (USA). The beads were prepared by a plasma rotating electrode process (PREP) and had a nearly spherical shape with a diameter of 75-150 ${\mu}m$. Two types of titanium implants were supplied by KJ Meditech (Korea). One is an external hexa system (External type) and the other is an internal system with threads (Internal type). The implants were pasted with beads using polyvinylalcohol solution as a binder, and then sintered at 1250 $^{\circ}C$ for 2 hours in vacuum of $10^{-5}$ torr. The resulting porous structure was 400-500 ${\mu}m$ thick and consisted of three to four bead layers bonded to each other and the implant. The pore size was in the range of 50-150 ${\mu}m$ and the porosity was 30-40 % in volume. The aim of this study was to evaluate the osseointegration of the newly developed dental implant. The experimental implants (n=16) were inserted in the unilateral femur of 4 mongrel dogs. All animals were killed at 8 weeks after implantation, and samples were harvested for hitological examination. All bead coated porous implants were successfully osseointegrated with peripheral bone. The average bone-implant contact ratios were 84.6 % (External type) and 81.5 % (Internal type). In the modified Goldner's trichrome staining, new generated mature bones were observed at the implant interface at 8 weeks after implantation. Although, further studies are required, we could conclude that the newly developed vacuum sintered Ti-6Al-4V bead coating implant was strong enough to resist the implant insertion force, and it was easily osseointegrated with peripheral bone.