• 제목/요약/키워드: plane stress/strain

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가스배관용 플렉시블 조인트의 응력 및 변형거동특성에 관한 수치적 연구 (Numerical Analysis on the Stress and Deformation Behavior Characteristics of Flexible Joint for a Gas Pipe)

  • 김청균;김경섭
    • 한국가스학회지
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    • 제15권4호
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    • pp.39-43
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    • 2011
  • 본 연구에서는 가스배관용 플렉시블 조인트의 응력과 변형거동 특성을 유한요소법으로 해석하였다. 이러한 특성결과는 나선 주름관이나 직각 주름관 및 평면관으로 구성된 플렉시블 조인트의 강도안전성을 고찰할 수 있다. FEM 계산결과에 의하면, 최적의 나선 주름관은 $4.7^{\circ}$의 경사각도와 1.5mm의 주름높이를 갖는 주름관 모델인것으로 나타났다. 또한, $90^{\circ}$의 주름을 갖는 직각 주름관 모델이 경사각도를 갖는 나선 주름관보다는 강도안전성이 더 우수한 것으로 나타났다. 따라서, 주름관의 강도안전성을 높이기 위해서는 주름관의 피치와 곡률반경을 줄이는 것이 바람직함을 알 수 있다.

효율적이고 신뢰성있는 자연요소 균열해석을 위한 균열선단 그리드 세분화기법 (A Near-tip Grid Refinement for the Effective and Reliable Crack Analysis by Natural Element Method)

  • 조진래
    • 한국전산구조공학회논문집
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    • 제32권3호
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    • pp.183-190
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    • 2019
  • 본 논문은 균열선단 그리드 세분화기법을 소개하고 자연요소법을 이용한 균열해석에 이 기법을 적용함으로서 그 유효성을 고찰하였다. 유한요소법에 있어서의 국부적 h-세분화와 같이 높은 응력 특이성을 보이는 균열선단 주위를 따라 자연요소법 그리드를 국부적으로 세분화하였다. 본 논문에서 소개되는 그리드 세분화기법은 2단계로 구성되며, 1단계에서는 그리드 점들이 추가되고 2단계에서는 균열선단 절점을 공유하는 델라우니 삼각형들이 나뉘게 된다. 제안하는 그리드 세분화기법의 타당성과 균열해석에서의 유효성을 입증하기 위해 대칭 엣지 균열을 갖는 평면 변형률 상태의 사각 평판을 해석하였다. 수치해석 결과의 상대비교를 위해 균일한 자연요소 그리드를 이용한 균열해석도 수행하였으며, 균열선단이 세분화된 그리드는 균일한 그리드와는 달리 이론해와 조밀한 그리드와 유사한 균열선단 응력분포를 나타내었다. 또한, 총 그리드 절점수에 대한 해석결과의 전역 상대오차에서도 세분화된 그리드가 균일한 그리드에 비해 높은 수렴율 나타내었다.

Computer modeling of elastoplastic stress state of fibrous composites with hole

  • Polatov, Askhad M.;Ikramov, Akhmat M.;Khaldjigitov, Abduvali A.
    • Coupled systems mechanics
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    • 제8권4호
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    • pp.299-313
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    • 2019
  • The paper represents computer modeling of the deformed state of physically nonlinear transversally isotropic bodies with hole. In order to describe the anisotropy of the mechanical properties of transversally-isotropic materials a structurally phenomenological model has been used. This model allows representing the initial material in the form of the coupled isotropic materials: the basic material (binder) considered from the positions of continuum mechanics and the fiber material oriented along the anisotropy direction of the original material. It is assumed that the fibers perceive only the axial tensile-compression forces and are deformed together with the base material. To solve the problems of the theory of plasticity, simplified theories of small elastoplastic deformation have been used for a transversely-isotropic body, developed by B.E. Pobedrya. A simplified theory allows applying the theory of small elastoplastic deformations to solve specific applied problems, since in this case the fibrous medium is replaced by an equivalent transversely isotropic medium with effective mechanical parameters. The essence of simplification is that with simple stretching of composite in direction of the transversal isotropy axis and in direction perpendicular to it, plastic deformations do not arise. As a result, the intensity of stresses and deformations both along the principal axis of the transversal isotropy and along the perpendicular plane of isotropy is determined separately. The representation of the fibrous composite in the form of a homogeneous anisotropic material with effective mechanical parameters allows for a sufficiently accurate calculation of stresses and strains. The calculation is carried out under different loading conditions, keeping in mind that both sizes characterizing the fibrous material fiber thickness and the gap between the fibers-are several orders smaller than the radius of the hole. Based on the simplified theory and the finite element method, a computer model of nonlinear deformation of fibrous composites is constructed. For carrying out computational experiments, a specialized software package was developed. The effect of hole configuration on the distribution of deformation and stress fields in the vicinity of concentrators was investigated.

전 슬관절 치환 성형술에 사용되는 초고분자량 폴리에틸렌 삽입물의 접촉응력에 관한 유한요소해석 (Finite Element Analysis for the Contact Stress of Ultra-high Molecular Weight Polyethylene in Total Knee Arthroplasty)

  • 조철형;최재봉;최귀원;윤강섭;강승백
    • 대한의용생체공학회:의공학회지
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    • 제20권1호
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    • pp.37-44
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    • 1999
  • 인공 슬관절에 사용되는 초고분자량 폴리에틸렌(Ultra-high molecular weight polyethylene : UHMWPE)의 마모는 삽입물의 수명을 결정하는 주요 요인으로 작용한다. UHMWPE의 마모로 입자가 발생하여 조직반응을 일으키고 이에 따른 일련의 반응으로 골용해가 일어나 인공관절의 실패의 원인으로 작용한다. 여러 보고들에 의하면 관절 운동시 발생하는 접촉응력은 UHMWPE의 마모에 영향을 미치는 주요한 인자 중 하나로 알려져 있다. 그러나 이러한 보고들은 관절 접촉면에서의 접촉 조건만을 고려했고 UHMWPE 삽입물을 지지하고 있는 금속 지지판과의 접촉면에서의 접촉 조건은 고려하지 않았다. 본 연구에서는 이러한 접촉 조건들을 고려하여 UHMWPE의 모양, 두께, 마찰, 굴곡 정도 그리고 구성 요소들에 대한 UHMWPE 표면과 내부에서의 응력해석을 통해 이들 변수가 UHMWPE의 마모현상에 미치는 영향을 알아보았다. UHMWPE의 모양에 따른 관절의 일치정도(conformity)에 대한 영향의 경우, 일치정도가 높은 모델이 응력을 줄여줄 수 있는 유형으로 나타났으며, 금속 지지판과의 접촉면에서 접촉조건을 준 경우가 완전히 결합된 것으로 가정한 경우보다 UHMWPE 내부에서의 최대 응력이 1-2mm 더 아래에서 나타났다. 또한 UHMWPE로만 된 유형이 금속 지지판이 있는 유형보다 낮은 응력분포를 보여줌으로써 높은 응력으로 인한 UHMWPE의 마모와 균열을 줄이기 위해서는 UHMWPE로만 된 유형의 삽입물의 사용이 좋을 것으로 사료되었다.

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Multiscale modeling of reinforced/prestressed concrete thin-walled structures

  • Laskar, Arghadeep;Zhong, Jianxia;Mo, Y.L.;Hsu, Thomas T.C.
    • Interaction and multiscale mechanics
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    • 제2권1호
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    • pp.69-89
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    • 2009
  • Reinforced and prestressed concrete (RC and PC) thin walls are crucial to the safety and serviceability of structures subjected to shear. The shear strengths of elements in walls depend strongly on the softening of concrete struts in the principal compression direction due to the principal tension in the perpendicular direction. The past three decades have seen a rapid development of knowledge in shear of reinforced concrete structures. Various rational models have been proposed that are based on the smeared-crack concept and can satisfy Navier's three principles of mechanics of materials (i.e., stress equilibrium, strain compatibility and constitutive laws). The Cyclic Softened Membrane Model (CSMM) is one such rational model developed at the University of Houston, which is being efficiently used to predict the behavior of RC/PC structures critical in shear. CSMM for RC has already been implemented into finite element framework of OpenSees (Fenves 2005) to come up with a finite element program called Simulation of Reinforced Concrete Structures (SRCS) (Zhong 2005, Mo et al. 2008). CSMM for PC is being currently implemented into SRCS to make the program applicable to reinforced as well as prestressed concrete. The generalized program is called Simulation of Concrete Structures (SCS). In this paper, the CSMM for RC/PC in material scale is first introduced. Basically, the constitutive relationships of the materials, including uniaxial constitutive relationship of concrete, uniaxial constitutive relationships of reinforcements embedded in concrete and constitutive relationship of concrete in shear, are determined by testing RC/PC full-scale panels in a Universal Panel Tester available at the University of Houston. The formulation in element scale is then derived, including equilibrium and compatibility equations, relationship between biaxial strains and uniaxial strains, material stiffness matrix and RC plane stress element. Finally the formulated results with RC/PC plane stress elements are implemented in structure scale into a finite element program based on the framework of OpenSees to predict the structural behavior of RC/PC thin-walled structures subjected to earthquake-type loading. The accuracy of the multiscale modeling technique is validated by comparing the simulated responses of RC shear walls subjected to reversed cyclic loading and shake table excitations with test data. The response of a post tensioned precast column under reversed cyclic loads has also been simulated to check the accuracy of SCS which is currently under development. This multiscale modeling technique greatly improves the simulation capability of RC thin-walled structures available to researchers and engineers.

Nonlinear thermal buckling behavior of functionally graded plates using an efficient sinusoidal shear deformation theory

  • Bouiadjra, Rabbab Bachir;Bedia, E.A. Adda;Tounsi, Abdelouahed
    • Structural Engineering and Mechanics
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    • 제48권4호
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    • pp.547-567
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    • 2013
  • Nonlinear behavior of functionally graded material (FGM) plates under thermal loads is investigated here using an efficient sinusoidal shear deformation theory. The displacement field is chosen based on assumptions that the in-plane and transverse displacements consist of bending and shear components, and the shear components of in-plane displacements give rise to the sinusoidal distribution of transverse shear stress through the thickness in such a way that shear stresses vanish on the plate surfaces. Therefore, there is no need to use shear correction factor. Unlike the conventional sinusoidal shear deformation theory, the proposed efficient sinusoidal shear deformation theory contains only four unknowns. The material is graded in the thickness direction and a simple power law based on the rule of mixture is used to estimate the effective material properties. The neutral surface position for such FGM plates is determined and the sinusoidal shear deformation theory based on exact neutral surface position is employed here. There is no stretching-bending coupling effect in the neutral surface-based formulation, and consequently, the governing equations and boundary conditions of functionally graded plates based on neutral surface have the simple forms as those of isotropic plates. The non-linear strain-displacement relations are also taken into consideration. The thermal loads are assumed as uniform, linear and non-linear temperature rises across the thickness direction. Closed-form solutions are presented to calculate the critical buckling temperature, which are useful for engineers in design. Numerical results are presented for the present efficient sinusoidal shear deformation theory, demonstrating its importance and accuracy in comparison to other theories.

Zircaloy-4 핵연료 피복관의 신파괴인성 시험법 (New Fracture Toughness Test Method of Zircaloy-4 Nuclear Fuel Cladding)

  • 오동준;안상복;홍권표
    • 대한기계학회논문집A
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    • 제27권5호
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    • pp.823-832
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    • 2003
  • To define the causes of cladding degradation which can take place during the operation of nuclear power plants, it is required to develop the new fracture toughness test of spent fuel cladding. The fracture toughness of Zircaloy-4 cladding was estimated using the recently developed KAERI embedded Charpy (KEC) specimen. Axially notched KEC specimens cut directly from unirradiated fuel claddings, were tested in a way similar to the standard toughness test method of a Single Edge Bending (SEB) specimen. The results of KEC fracture toughness test at room temperatures were discussed and compared with those of the previous other studies. In conclusions, even though the KEC fracture toughness test of nuclear fuel claddings was easier and more reliable than those developed earlier, the results from the cladding fracture tests were not the material characteristics but the specific fracture parameters which were deeply related to the specification of claddings. In addition, the phenomenon of a thickness yielding was not observed from the fracture surface. It was closely related to the fact that the plane strain condition of the KEC specimen was changed to the plane stress condition during crack advancing. It was also supported by the fractographic evidence that the formation of ductile dimples at the crack initiation became the similar appearance such as a quasi-cleavage after the sufficient crack advancing.

현대패션에 응용된 신조형주의의 조형요소에 관한 연구 - 몬드리안 회화를 중심으로 - (A Study on the Formative Elements of Neo-plasticism Applied on Contemporary Fashion)

  • 정경희;배수정
    • 한국가정과학회지
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    • 제9권1호
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    • pp.51-61
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    • 2006
  • The purpose of this study is to examine the relation between the trend of art and fashion which predominate a certain time. In order to achieve this goal, this study intends to analyze how plasticity found in Mondrian's pictures are applied to modern fashion with its focus on formative elements. Mondrian was ahead of abstractionism, a major trend of contemporary art, and defined the theory of neo-plasticism. The theory of neo-plasticism defined by Mondrian is characterized by the limited expression of lines and shapes by using only vertical and horizontal straight lines, and right angles and four-sided figures weaved by the lines, and the use of achromatic color(black, white, and gray) in three primary colors(red, blue, and yellow). Based on his theory, he fully displayed the world of geometric abstraction. Mondrian's formative elements which have been applied in modern fashion can be divided into shape and color, For the element of shape, first, horizontal and vertical lines have been applied to patterns, trimmings, detail, and plane of textiles through simplification of design, representing proportion, balance, and stress in a silhouette, Second, plane and diamond shapes made of horizontal and vertical lines have been applied to textiles or patterns with uniqueness. For the element of color, first, three primary colors and achromatic colors are used to seek the aesthetics of balance and harmony that are produced in the strain of conflict through brightness, chroma, and complementary colors, Second, primary colors of high chroma and brightness which are much stronger than pictures are used to express a modern sense. Formative elements of neo-plasticism, which have been applied to modern fashion suggested by this study, are connected with the trend of art contemporary designers have borrowed, Accordingly, this study will become a very helpful material which provides designers with original ideas in developing materials and patterns which connect design with art.

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전단간섭법을 이용한 감육 곡관부의 변형 계측 (Deformation Measurement of Well Thinning Elbow by Using Shearography)

  • 정현철;김경석;장호섭;정성욱;강기수
    • 비파괴검사학회지
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    • 제26권5호
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    • pp.321-328
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    • 2006
  • 본 논문에서는 전단간섭계를 이용하여 감육 곡관부의 변형을 계측하고 내부 감육 결함의 위치를 찾고자 하였다. 전단간섭법은 비파괴검사(NDT)와 응력/변형률 해석에 적용되어왔던 광학적 방법의 한가지이다. 이 기술은 간섭계에서 tilt mirror를 조작함으로써 조절이 가능한 민감도를 갖는 변위의 1차 도함수를 직접 측정할 수 있다는 이점을 지니고 있다. 본 논문에서는, 국부적으로 감육이 발생한 탄소강 곡관부에 대해 실험하였으며, 전단간섭법을 곡관부의 변형량 측정과 내부 감육결함 검사에 적용하였다. 실험 결과로부터, 이 기술이 내부 결함이 있는 배관부에도 적용이 가능함을 확인하였다.

Thermal stability analysis of solar functionally graded plates on elastic foundation using an efficient hyperbolic shear deformation theory

  • El-Hassar, Sidi Mohamed;Benyoucef, Samir;Heireche, Houari;Tounsi, Abdelouahed
    • Geomechanics and Engineering
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    • 제10권3호
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    • pp.357-386
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    • 2016
  • In this research work, an exact analytical solution for thermal stability of solar functionally graded rectangular plates subjected to uniform, linear and non-linear temperature rises across the thickness direction is developed. It is assumed that the plate rests on two-parameter elastic foundation and its material properties vary through the thickness of the plate as a power function. The neutral surface position for such plate is determined, and the efficient hyperbolic plate theory based on exact neutral surface position is employed to derive the governing stability equations. The displacement field is chosen based on assumptions that the in-plane and transverse displacements consist of bending and shear components, and the shear components of in-plane displacements give rise to the quadratic distribution of transverse shear stress through the thickness in such a way that shear stresses vanish on the plate surfaces. Therefore, there is no need to use shear correction factor. Just four unknown displacement functions are used in the present theory against five unknown displacement functions used in the corresponding ones. The non-linear strain-displacement relations are also taken into consideration. The influences of many plate parameters on buckling temperature difference will be investigated. Numerical results are presented for the present theory, demonstrating its importance and accuracy in comparison to other theories.