• 제목/요약/키워드: Non-Conforming

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Coupling non-matching finite element discretizations in small-deformation inelasticity: Numerical integration of interface variables

  • Amaireh, Layla K.;Haikal, Ghadir
    • Coupled systems mechanics
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    • 제8권1호
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    • pp.71-93
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    • 2019
  • Finite element simulations of solid mechanics problems often involve the use of Non-Confirming Meshes (NCM) to increase accuracy in capturing nonlinear behavior, including damage and plasticity, in part of a solid domain without an undue increase in computational costs. In the presence of material nonlinearity and plasticity, higher-order variables are often needed to capture nonlinear behavior and material history on non-conforming interfaces. The most popular formulations for coupling non-conforming meshes are dual methods that involve the interpolation of a traction field on the interface. These methods are subject to the Ladyzhenskaya-Babuska-Brezzi (LBB) stability condition, and are therefore limited in their implementation with the higher-order elements needed to capture nonlinear material behavior. Alternatively, the enriched discontinuous Galerkin approach (EDGA) (Haikal and Hjelmstad 2010) is a primal method that provides higher order kinematic fields on the interface, and in which interface tractions are computed from local finite element estimates, therefore facilitating its implementation with nonlinear material models. The inclusion of higher-order interface variables, however, presents the issue of preserving material history at integration points when a increase in integration order is needed. In this study, the enriched discontinuous Galerkin approach (EDGA) is extended to the case of small-deformation plasticity. An interface-driven Gauss-Kronrod integration rule is proposed to enable adaptive enrichment on the interface while preserving history-dependent material data at existing integration points. The method is implemented using classical J2 plasticity theory as well as the pressure-dependent Drucker-Prager material model. We show that an efficient treatment of interface variables can improve algorithmic performance and provide a consistent approach for coupling non-conforming meshes in inelasticity.

3차원 8절점 비적합 고체요소에 의한 복합재판의 순수굽힘문제의 정적.동적해석 (Static and Dynamic Analyses of Pure Bending Problems of Composite Plates using Non-Conforming 3-Dimensional 8-Node Solid Element)

  • 윤태혁;권영두
    • 한국해양공학회지
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    • 제12권2호통권28호
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    • pp.1-21
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    • 1998
  • In this paper, a non-conforming 3-D 8-node solid element(MQM10) has beets applied to the analyses of static and dynamic bending problems of laminated composite plates The QM10 element exhibits stiffer bending stiffness which is caused by the reduction of degree of freedom from Q11 element. As an effective way to correct the relative stiffness stiffening phenomenon the modification of Gauss sampling points for composite plates is proposed. The quantity of modification is a function of material properties. Also, another two modified equations are obtained, one is modification for stress, and the other is modification of coefficient of shear modulus in free vibration. It is noted that MQM10 element can analyse the static and free vibration problems of various 3-dimensional composite plates composed of unidirectional laminae, woven laminae or braided laminae. The results of MQM10 element are in good agreement with those of 20-node element.

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생산량이 감소하는 공정평균이동 문제에서 Cpm+ 기준의 손실함수를 적용한 보전모형 (A Maintenance Model Applying Loss Function Based on the Cpm+ in the Process Mean Shift Problem in Which the Production Volume Decreases)

  • 이도경
    • 산업경영시스템학회지
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    • 제44권1호
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    • pp.45-50
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    • 2021
  • Machines and facilities are physically or chemically degenerated by continuous usage. The representative type of the degeneration is the wearing of tools, which results in the process mean shift. According to the increasing wear level, non-conforming products cost and quality loss cost are increasing simultaneously. Therefore, a preventive maintenance is necessary at some point. The problem of determining the maintenance period (or wear limit) which minimizes the total cost is called the 'process mean shift problem'. The total cost includes three items: maintenance cost (or adjustment cost), non-conforming cost due to the non-conforming products, and quality loss cost due to the difference between the process target value and the product characteristic value among the conforming products. In this study, we set the production volume as a decreasing function rather than a constant. Also we treat the process variance as a function to the increasing wear rather than a constant. To the quality loss function, we adopted the Cpm+, which is the left and right asymmetric process capability index based on the process target value. These can more reflect the production site. In this study, we presented a more extensive maintenance model compared to previous studies, by integrating the items mentioned above. The objective equation of this model is the total cost per unit wear. The determining variables are the wear limit and the initial process setting position that minimize the objective equation.

2차원 멀티패치 모델의 아이소-지오메트릭 해석 (Isogeometric Analysis for Two-dimensional Multipatch Model)

  • 김민근;구본용
    • 한국전산구조공학회논문집
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    • 제30권6호
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    • pp.515-522
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    • 2017
  • 본 논문에서는 2개 이상의 기하형상이 순응 또는 비순응 경계면에서 접합된 멀티패치 문제에 대한 아이소-지오메트릭 해석에 대해서 연구하였다. 패치 경계면에서 응력의 연속성을 표현하는 방법으로 Nitsche 방법론과 마스터-슬레이브 방법에 기반한 방법론에 대해서 지배방정식을 유도하고 아이소-지오메트릭 이산화를 수행하였다. 멀티패치 문제에 대해서 두 방법론의 차이점을 간단하게 비교하였으며, 후처리 과정에서 사용되는 NURBS 곡면 기반의 응력 복원법에 대해서 기술하였다. 수치예제에서 비순응 경계면을 가지는 멀티패치 빔 문제를 통해 Nitshce 방법론을 검증하였으며, 응력집중을 가지는 문제에서 소개된 두 방법론이 유사한 결과를 보이는 것을 확인하였다. 소개된 NURBS 곡면 기반의 응력 복원법을 후처리에서 도입할 경우 멀티패치 문제의 경계면에서 개선된 연속적인 응력을 보임을 알 수 있다.

A new quadrilateral 5-node non-conforming membrane element with drilling DOF

  • Lee, Tae-Yeol;Choi, Chang-Koon
    • Structural Engineering and Mechanics
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    • 제14권6호
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    • pp.699-712
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    • 2002
  • In this paper, a new quadrilateral 5-node non-conforming membrane element with drilling degrees of freedom is presented. The main advantage of these elements is the relatively small number of integration points to evaluate a stiffness matrix comparing to the existing transition membrane elements (CLM elements). Moreover, the presented elements pass the patch test by virtue of the Direct Modification Method incorporated into the element formulation. The presented 5-node elements are proved to be very efficient when used in the local mesh refinement for the in-plane structures which have stress concentrations. And some numerical studies also show the good performance of the new element developed in this study.

매도인의 하자물품책임 면책약관의 규제에 관한 비교연구 (Regulating Exclusion Clauses of the Seller's Liability for Non-Conforming Goods: Comparative Accounts)

  • 이병문
    • 무역상무연구
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    • 제32권
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    • pp.29-56
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    • 2006
  • This article primarily concerns the various aspects of the rules to control express terms particularly in standard form which seek to absolve either wholly or in part from the seller's liability for non-conforming goods. It describes and analyzes in detail how English law regulates such terms. In this analysis, it places the following questions; first, whether each jurisdiction treats the seller's liability for non-conformity in quality and quantity as mandatory rules, second, if it does, to what extent it is treated so and third, if not, in what way it controls the seller's attempt to exclude or restrict his liability for non-conformity in quality and quantity. In addition, it attempts to compare the rules under English law with those under Korean law and to evaluate them in light of the discipline of comparative law. In an attempt to evaluate them, it asks the question of whether a solution from one jurisdiction may facilitate the systematic development and reform of another jurisdiction. The evaluation is based upon the idea that the problems of fairness associated with the use of standard terms occur where the customer is unfairly taken by surprise due to his ignorance of the terms, or where even if he knows of the substance of the terms and objects to it, he is met with a take-it-or-leave-it situation.

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고성능 유한요소를 이용한 평판구조물의 정적 및 동적해석 (Static and Dynamic Analysis of Plate Structures using a High Performance Finite Element)

  • 한인선;김선훈
    • 한국전산구조공학회논문집
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    • 제18권3호
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    • pp.311-320
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    • 2005
  • 본 논문에서는 평판구조물의 정적 및 동적해석에 사용할 목적으로 성능이 향상된 평판유한요소를 제시하였다. 이 요소는 비적합변위형과 선택적 감차적분방법 그리고 대체전단변형률장을 복합적으로 적용하여 각각의 장점들을 포함하는 향상된 거동을 보여주고 있다. 또한 비적합변위형의 적용으로 발생되는 조각시험의 실패 문제점을 해결하기 위하여 직접수정법을 평판유한요소의 개선에 사용하였다. 대표적인 검증문제에 대한 수치해석작업을 통하여 본 연구에서 개발한 요소는 가상적인 제로에너지모드 및 전단잠김현상의 발생과 같은 문제를 나타내지 않음을 알 수 있었다. 특히 찌그러진 형상으로 모형화 한 경우에 있어서도 전단잠김현상이 발생하지 않았다. 본 연구에서 수행한 동적반응해석 시험에 있어서도 이론해와 잘 일치하는 결과를 보여주었다.

생산량과 공정분산이 변하는 공정평균이동 문제의 마모한계 결정 (Determination of the Wear Limit to the Process Mean Shift Problem with Varying Product and Process Variance)

  • 이도경
    • 산업경영시스템학회지
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    • 제43권3호
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    • pp.95-100
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    • 2020
  • Machines and facilities are physically or chemically degenerated by continuous usage. One of the results of this degeneration is the process mean shift. The representative type of the degeneration is wear of tool or machine. According to the increasing wear level, non-conforming products cost and quality loss cost are increasing simultaneously. Therefore a periodic preventive resetting the process is necessary. The total cost consists of three items: adjustment cost (or replacement cost), non-conforming cost due to product out of upper or lower limit specification, and quality loss cost due to difference from the process target value and the product characteristic value among the conforming products. In this case, the problem of determining the adjustment period or wear limit that minimizes the total cost is called the 'process mean shift' problem. It is assumed that both specifications are set and the wear level can be observed directly. In this study, we propose a new model integrating the quality loss cost, process variance, and production volume, which has been conducted in different fields in previous studies. In particular, for the change in production volume according to the increasing in wear level, we propose a generalized production quantity function g(w). This function can be applied to most processes and we fitted the g(w) to the model. The objective equation of this model is the total cost per unit wear, and the determining variables are the wear limit and initial process setting position that minimize the objective equation.

ECONOMIC DESIGN OF SCREENING PORCEDURES CONSIDERING INSPECTION ERRORS

  • Kim, Young-Jin
    • 한국경영과학회:학술대회논문집
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    • 한국경영과학회 2006년도 추계학술대회
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    • pp.365-368
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    • 2006
  • The implementation of a screening procedure for removing non-conforming products has become a common practice especially in high-tech manufacturing industries. Screening procedures involve a measurement on the quality characteristic of interest since decisions regarding the conformance to specifications are usually made on the basis of the realization of measurement. A significant variability in measurement procedures may result in the misclassification of an outgoing product (that is, falsely accepting defectives or falsely rejecting conforming items), which may lead to wrong interpretation on product quality, It may thus be necessary to consider the impacts of misclassification errors due to measurement variability when designing screening procedures. Along this line, this article investigates the design of screening procedures based on the assessment of misclassification errors. The main objective is to determine the screening limits on measured values so that two types of misclassification errors may properly be compromised.

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