• 제목/요약/키워드: Linear Elastic Model

검색결과 505건 처리시간 0.026초

탄소성 파괴해석을 위한 크랙 평면 평형모형과 항복 선형 파괴역학과의 비교에 관한 연구 (A Comparison of the Crack Plane Equilibrium Model for Elastic-Plastic Fracture Analysis with the Irwin's Plastic Zone Corrected LEFM)

  • 이규용
    • 수산해양기술연구
    • /
    • 제20권1호
    • /
    • pp.30-36
    • /
    • 1984
  • 대규모의 소성역을 동반하면서 파괴하는 고인성 재료의 탄소성 파괴 반가를 위하여 제안된 바 있는 CPE 모형의 유효성을 입증하고자 소성역의 영향을 보정한 선형 파괴역학과의 이론적 검토와 오오스테나이트계 스테인레스강에 대한 실험적 비교검토를 통하여 얻은 결론은 다음과 같다. 예측한 바와 같이 선형 파괴역학의 적용은 소규모 항복조건이 성립하는 경우에만 가능하며 CPE 모형은 대변형을 형성하면서 파괴하는 경우의 파괴모형으로서 유효하다. 더욱 엄밀한 유효성을 입증하기 위하여 다음의 사항이 필요하다고 본다. 1. 크랙의 길이가 짧은 시험편에 대한 실험이 필요하다. 2. 크랙성장 개시점을 정확하게 찾을 수 있는 방법이 필요하다. 3. 파괴 진행영역에 대한 두께의 영향을 고려해 보아야 할 필요성이 있다.

  • PDF

Alterations of breakdown and collapse pressures due to material nonlinearities

  • Nawrocki, Pawel A.
    • Geomechanics and Engineering
    • /
    • 제1권2호
    • /
    • pp.155-168
    • /
    • 2009
  • Breakdown pressures obtained from the classic, linear elastic breakdown model are compared with the corresponding pressures obtained using a nonlinear material model. Compression test results obtained on sandstone and siltstone are used for that purpose together with previously formulated nonlinear model which introduces elasticity functions to address nonlinear stress-strain behaviour of rocks exhibiting stress-dependent mechanical properties. Linear and nonlinear collapse pressures are also compared and it is shown that material nonlinearities have significant effect on both breakdown and collapse pressures and on tangential stresses which control breakdown pressure around a borehole. This means that the estimates of ${\sigma}_H$ made using linear models give stress values which are different than the real values in the earth. Thus the importance of a more accurate analysis, such as provided by the nonlinear models, is emphasised. It is shown, however, that the linear elastic model does not necessarily over-predict borehole stresses and the opposite case can be true, depending on rock type and test interpretation.

FRP로 구속된 콘크리트 압축부재의 구속효과 분석 (Analysis of Confinement Effectiveness for FRP Confined Concrete Columns)

  • 최은수;최승환
    • 대한토목학회논문집
    • /
    • 제31권1A호
    • /
    • pp.19-24
    • /
    • 2011
  • FRP 자켓으로 콘크리트를 보강하는 경우 FRP의 탄성계수에 따라 강도증진효과가 상이하게 나타난다. 본 논문에서는 기존의 데이터를 사용하여 FRP 보강재의 탄성계수에 따른 보강효과를 분석하고, 실용적으로 사용할 수 있는 강도증진 추정모델을 제시하였다. FRP의 탄성계수는 일반 콘크리트의 압축탄성계수와 강재의 탄성계수를 기준으로 세 구간으로 구분하여 비교하였다. FRP의 탄성계수가 증가할수록 추정모델의 기울기 및 y-절편이 증가하는 것을 알 수 있었다. 또한, FRP의 탄성계수가 콘크리트의 압축탄성계수보다 작은 경우 FRP의 보강량이 작으며 보강효과가 없는 것으로 나타났으며, 이러한 경우 선형적인 모델을 사용하기 어렵다. 따라서 본 연구에서는 FRP의 탄성계수가 콘크리트 압축탄성계수보다 약 2배 큰 것만을 사용하는 경우의 보강효과 추정모델을 제시하였다. 본 연구에서 제시한 모델은 y-절편의 구속조건 여부와 상관없이 거의 동일한 결과를 보여 주었으며, 이러한 특징은 강재보강에서도 발견되는 것으로 합리적인 결과라고 판단할 수 있다.

FFF 방식으로 제작된 PLA의 열화에 따른 선형탄성 및 초탄성 모델의 비교에 관한 연구 (A Comparative Study of the Linear-elastic and Hyperelastic Models for Degradation of PLA Prepared using Fused Filament Fabrication)

  • 최나연;신병철;장성욱
    • 한국기계가공학회지
    • /
    • 제19권3호
    • /
    • pp.1-7
    • /
    • 2020
  • Fused filament fabrication (FFF) is a process extruding and stacking materials. PLA materials are one of the most frequently used materials for FFF method of 3D printing. Polylactic acid (PLA)-based materials are among the most widely used materials for FFF-based three-dimensional (3D) printing. PLA is an eco-friendly material made using starch extracted from corn, as opposed to plastic made using conventional petroleum resin; PLA-based materials are used in various fields, such as packaging, aerospace, and medicines. However, it is important to analyze the mechanical properties of theses materials, such as elastic strength, before using them as structural materials. In this study, the reliability of PLA-based materials is assessed through an analysis of the changes in the linear elasticity of these materials under thermal degradation by applying a hyperelastic analytical model.

도로포장 구조해석을 위한 점탄성 유한요소 해석코드 개발 (Development of Viscoelastic Finite Element Analysis Code for Pavement Structures)

  • 이창준;유평준;최지영;엄병식
    • 한국도로학회논문집
    • /
    • 제14권5호
    • /
    • pp.1-9
    • /
    • 2012
  • PURPOSES: A viscoelastic axisymmetric finite element analysis code has been developed for stress analysis of asphalt pavement structures. METHODS: Generalized Maxwell Model (GMM) and 4-node isoparametric element were employed for finite element formulation. The code was developed using $C^{+}^{+}$ computer program language and named as KICTPAVE. For the verification of the developed code, a structural model of a pavement system was constructed. The structural model was composed of three layers: asphalt layer, crushed stone layer, and soil subgrade. Two types of analysis were considered for the verification: (1)elastic static analysis, (2)viscoelastic time-dependent analysis. For the elastic static analysis, linear elastic material model was assigned to all the layers, and a static load was applied to the structural model. For the viscoelastic time-dependent analysis, GMM and linear elastic material model were assigned to the asphalt layer and all the other layers respectively, and a cyclic loading condition was applied to the structural model. RESULTS: The stresses and deformations from KICTPAVE were compared with those from ABAQUS. The analysis results obtained from the two codes showed good agreement in time-dependent response of the element under the loading area as well as the surface deformation of asphalt layer, and horizontal and vertical stresses along the axisymmetric axis. CONCLUSIONS: The validity of KICTPAVE was confirmed by showing the agreement of the analysis results from the two codes.

非壓縮 粘彈性 圓筒體의 熱荷重 解析 (Thermal load analysis in an incompressible linear visco-elastic cylinder bonded to an elastic shell)

  • 이영신;최용규
    • 대한기계학회논문집
    • /
    • 제11권2호
    • /
    • pp.205-213
    • /
    • 1987
  • 본 논문에서는 비압축 선형 점탄성재료를 원통체로 모델화하여 열하중에 대한 거동을 점유적 시간증분과정을 적용하여 수치해를 제시하고 원통체를 제작실험하여 변 형과 비파괴검사를 통해 측정하여 비교검토하였다. 또한 이론적 수치해와 시편과의 안전율을 각 파괴기준(failure criteria)에 적용하여 비파괴검사결과와 비교하였다.

Fluid viscous device modelling by fractional derivatives

  • Gusella, V.;Terenzi, G.
    • Structural Engineering and Mechanics
    • /
    • 제5권2호
    • /
    • pp.177-191
    • /
    • 1997
  • In the paper, a fractional derivative Kelvin-Voigt model describing the dynamic behavior of a special class of fluid viscous dampers, is presented. First of all, in order to verify their mechanical properties, two devices were tested the former behaving as a pure damper (PD device), whereas the latter as an elastic-damping device (ED device). For both, quasi-static and dynamic tests were carried out under imposed displacement control. Secondarily, in order to describe their cyclical behavior, a model composed by an elastic and a damping element connected in parallel was defined. The elastic force was assumed as a linear function of the displacement whereas the damping one was expressed by a fractional derivative of the displacement. By setting an appropriate numerical algorithm, the model parameters (fractional derivative order, damping coefficient and elastic stiffness) were identified by experimental results. The estimated values allowed to outline the main parameter properties on which depend both the elastic as well as the damping behavior of the considered devices.

Energy equivalent model in analysis of postbuckling of imperfect carbon nanotubes resting on nonlinear elastic foundation

  • Mohamed, Nazira;Eltaher, Mohamed A.;Mohamed, Salwa A.;Seddek, Laila F.
    • Structural Engineering and Mechanics
    • /
    • 제70권6호
    • /
    • pp.737-750
    • /
    • 2019
  • This paper investigates the static and dynamic behaviors of imperfect single walled carbon nanotube (SWCNT) modeled as a beam structure by using energy-equivalent model (EEM), for the first time. Based on EEM Young's modulus and Poisson's ratio for zigzag (n, 0), and armchair (n, n) carbon nanotubes (CNTs) are presented as functions of orientation and force constants. Nonlinear Euler-Bernoulli assumptions are proposed considering mid-plane stretching to exhibit a large deformation and a small strain. To simulate the interaction of CNTs with the surrounding elastic medium, nonlinear elastic foundation with cubic nonlinearity and shearing layer are employed. The equation governed the motion of curved CNTs is a nonlinear integropartial-differential equation. It is derived in terms of only the lateral displacement. The nonlinear integro-differential equation that governs the buckling of CNT is numerically solved using the differential integral quadrature method (DIQM) and Newton's method. The linear vibration problem around the static configurations is discretized using DIQM and then is solved as a linear eigenvalue problem. Numerical results are depicted to illustrate the influence of chirality angle and imperfection amplitude on static response, buckling load and dynamic behaviors of armchair and zigzag CNTs. Both, clamped-clamped (C-C) and simply supported (SS-SS) boundary conditions are examined. This model is helpful especially in mechanical design of NEMS manufactured from CNTs.

유연 매니퓰레이터 동역학 모델링의 비선형 커플링 요소 (Nonlinear Coupling Factor in Dynamic Model of Flexible Manipulator)

  • 이진호;임성수;이순걸
    • 한국정밀공학회:학술대회논문집
    • /
    • 한국정밀공학회 2005년도 추계학술대회 논문집
    • /
    • pp.404-408
    • /
    • 2005
  • Having flexibility in a manipulator will degrade trajectory tracking control and manipulator tip positioning. In practice, however, constraints imposed by various operating requirements, will render the presence of such flexibility unavoidable. The dynamic analysis of the flexible manipulator is essential in designing proper control systems. A flexible manipulator consists of infinite number of elastic modes and the modes are usually coupled to each other. For the practicality, however, it is usually assumed that the flexible system consists of finite number of elastic modes and the modes are decoupled. These assumptions result in a linear and decoupled mathematical model of the flexible manipulator and simplify the analysis of the dynamic behavior and the design of the control system. The decoupling and linearization of the flexible link, however, has been assumed without in depth analysis. This paper focuses on the analysis of the significance of the non-linear coupling factors.

  • PDF

Ratcheting boundary of pressurized pipe under reversed bending

  • Chen, Xiaohui;Chen, Xu;Li, Zifeng
    • Steel and Composite Structures
    • /
    • 제32권3호
    • /
    • pp.313-323
    • /
    • 2019
  • Ratcheting boundary is firstly determined by experiment, elastic-plastic finite element analysis combined with C-TDF and linear matching method, which is compared with ASME/KTA and RCC-MR. Moreover, based on elastic modulus adjustment procedure, a novel method is proposed to predict the ratcheting boundary for a pressurized pipe subjected to constant internal pressure and cyclic bending loading. Comparison of ratcheting boundary of elbow pipe determined by the proposed method, elastic-plastic finite element analysis combined with C-TDF and linear matching method, which indicates that the predicted results of the proposed method are in well agreement with those of linear matching method.