• Title/Summary/Keyword: elastic analysis

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Round robin analysis to investigate sensitivity of analysis results to finite element elastic-plastic analysis variables for nuclear safety class 1 components under severe seismic load

  • Kim, Jun-Young;Lee, Jong Min;Park, Jun Geun;Kim, Jong-Sung;Cho, Min Ki;Ahn, Sang Won;Koo, Gyeong-Hoi;Lee, Bong Hee;Huh, Nam-Su;Kim, Yun-Jae;Kim, Jong-In;Nam, Il-Kwun
    • Nuclear Engineering and Technology
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    • v.54 no.1
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    • pp.343-356
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    • 2022
  • As a part of round robin analysis to develop a finite element elastic-plastic seismic analysis procedure for nuclear safety class 1 components, a series of parametric analyses was carried out on the simulated pressurizer surge line system model to investigate sensitivity of the analysis results to finite element analysis variables. The analysis on the surge line system model considered dynamic effect due to the seismic load corresponding to PGA 0.6 g and elastic-plastic material behavior based on the Chaboche combined hardening model. From the parametric analysis results, it was found that strains such as accumulated equivalent plastic strain and equivalent plastic strain are more sensitive to the analysis variables than von Mises effect stress. The parametric analysis results also identified that finite element density and ovalization option in the elbow elements have more significant effect on the analysis results than the other variables.

Analysis of Elastic-Plastic J Integrals for 3-Dimensional Cracks Using Finite Element Alternating Method (유한요소 교호법을 이용한 삼차원 균열의 탄소성 J 적분 해석)

  • Park, Jai-Hak
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.33 no.2
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    • pp.145-152
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    • 2009
  • SGBEM(Symmetric Galerkin Boundary Element Method)-FEM alternating method has been proposed by Nikishkov, Park and Atluri. In the proposed method, arbitrarily shaped three-dimensional crack problems can be solved by alternating between the crack solution in an infinite body and the finite element solution without a crack. In the previous study, the SGBEM-FEM alternating method was extended further in order to solve elastic-plastic crack problems and to obtain elastic-plastic stress fields. For the elastic-plastic analysis the algorithm developed by Nikishkov et al. is used after modification. In the algorithm, the initial stress method is used to obtain elastic-plastic stress and strain fields. In this paper, elastic-plastic J integrals for three-dimensional cracks are obtained using the method. For that purpose, accurate values of displacement gradients and stresses are necessary on an integration path. In order to improve the accuracy of stress near crack surfaces, coordinate transformation and partitioning of integration domain are used. The coordinate transformation produces a transformation Jacobian, which cancels the singularity of the integrand. Using the developed program, simple three-dimensional crack problems are solved and elastic and elastic-plastic J integrals are obtained. The obtained J integrals are compared with the values obtained using a handbook solution. It is noted that J integrals obtained from the alternating method are close to the values from the handbook.

A Quantitative Comparison of Fibroblasts, Collagen and Elastic Fiber Densities in the Young and Aged Rat Skin

  • Song, In-Yong;Jeong, Myung-A;Lee, Jae-Hyoung
    • Biomedical Science Letters
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    • v.13 no.1
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    • pp.55-60
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    • 2007
  • Computerized image processing and analysis system was used for quantitative assessment of skin tissue components in color histological sections. The purpose of this study was to determine that the changes in the collagen fiber density and elastic fiber density in dermis in the rat skin as aging. And also to determine that the correlation between fibroblast density and collagen fiber density and elastic fiber density in the aged rat skin. Ten weeks old ($130{\sim}150g$) eight and fifty-four weeks old ($300{\sim}350g$) eight female Sprague-Dawley rats were used. The full-thickness skin biopsy specimens were prepared serial sections and stained with hematoxylin and eosin, Masson's trichrome and Verhoeff-van Gieson. The collagen fiber and the elastic fiber were identified using the image analysis processing system and then calculated the collagen fiber density rate and the elastic fiber density rate in the dermis. It also identified fibroblast and calculated fibroblast density in the dermis. By using a Student's t-test, a decrease in the collagen fiber density rate (t=-4.650, P<0.001) and the elastic fiber density rate (t=-6.494, P<0.001) of dermis can be observed in aged rats as compared with the young rats. A Student's t-test showed a significantly less fibroblast density in the aged rats than the young rats (t=-4.497, P<0.001). There were significantly positive correlation between the fibroblast density and the collagen fiber density rate (r=.69, P<0.001) and the elastic fiber density rate (r=.91, P<0.001). These results indicate that the aging may decrease the collagen fiber density and elastic fiber density due to reduced the proliferative and synthetic activity of fibroblast in the dermis.

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Analysis of Simple Creep Stress Calculation Methods for Creep Life Assessment (크리프 수명 평가를 위한 간략 크리프 응력 산출 방법론 분석)

  • Seo, Jun Min;Lee, Han Sang;Kim, Yun Jae
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.41 no.8
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    • pp.703-709
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    • 2017
  • Creep analysis takes much more time than elastic or elastic-plastic analysis. In this study, we conducted elastic and elastic-plastic analysis and compared the results with creep analysis results. In the elastic analysis, we used primary stress, which can be classified by the $M{\alpha}-tangent$ method and stress intensities recommended in the ASME code. In the elastic-plastic analysis, we calculated the parameters recommended in the R5 code. For the FE models, a bending load, uniaxial load, and biaxial load were applied to the cross shaped welded plate, and a bending load and internal pressure were applied to the elbow pipe. To investigate the element size sensitivity, we conducted FE analysis for various element sizes for the cases where bending load was applied to the cross shaped welded plate. There was no significant difference between the creep stress and the alternative methods; however, in the $M{\alpha}-tangent$ method, the results were affected by the element size.

Coupled electro-elastic analysis of functionally graded piezoelectric material plates

  • Wu, Chih-Ping;Ding, Shuang
    • Smart Structures and Systems
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    • v.16 no.5
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    • pp.781-806
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    • 2015
  • A unified formulation of finite layer methods (FLMs), based on the Reissner mixed variational theorem (RMVT), is developed for the three-dimensional (3D) coupled electro-elastic analysis of simply-supported, functionally graded piezoelectric material (FGPM) plates with open- and closed-circuit surface conditions and under electro-mechanical loads. In this formulation, the material properties of the plate are assumed to obey an exponent-law varying exponentially through the thickness coordinate, and the plate is divided into a number of finite rectangular layers, in which the trigonometric functions and Lagrange polynomials are used to interpolate the in- and out-of-plane variations of the primary field variables of each individual layer, respectively, such as the elastic displacement, transverse shear and normal stress, electric potential, and normal electric displacement components. The relevant orders used for expanding these variables in the thickness coordinate can be freely chosen as the linear, quadratic and cubic orders. Four different mechanical/electrical loading conditions applied on the top and bottom surfaces of the plate are considered, and the corresponding coupled electro-elastic analysis of the loaded FGPM plates is undertaken. The accuracy and convergence rate of the RMVT-based FLMs are assessed by comparing their solutions with the exact 3D piezoelectricity ones available in the literature.

Precise dynamic finite element elastic-plastic seismic analysis considering welds for nuclear power plants

  • Kim, Jong-Sung;Jang, Hyun-Su
    • Nuclear Engineering and Technology
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    • v.54 no.7
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    • pp.2550-2563
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    • 2022
  • This study performed a precise dynamic finite element time history elastic-plastic seismic analysis considering the welds, which have been not considered in design stage, on the nuclear components subjected to severe seismic loadings such as beyond-design basis earthquakes for sustainable nuclear power plants. First, the dynamic finite element elastic-plastic seismic analysis was performed for a general design practice that does not take into account the welds of the pressurizer surge line system, one of safety class I components in nuclear power plants, and then the reference values for the accumulated equivalent plastic strain, equivalent plastic strain, and von Mises effective stress were set. Second, the dynamic finite element elastic-plastic seismic analyses were performed for the case of considering only the mechanical strength over-mismatch of the welds as well as for the case of considering both the strength over-mismatch and welding residual strain. Third, the effects of the strength over-mismatch and welding residual strain were analyzed by comparing the finite element analysis results with the reference values. As a result of the comparison, it was found that not considering the strength over-mismatch may lead to conservative assessment results, whereas not considering the welding residual strain may be non-conservative.

Shock Response Analysis of Guard Robot Considering the Elastic Effect (탄성 효과를 고려한 감시 로봇 모델의 충격 응답 해석)

  • Kim, Jung-Chan;Jeong, W.B.
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2006.11a
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    • pp.107-110
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    • 2006
  • In this paper, shock response analysis considering the elastic effects of guard robot is performed using computer simulations when a machine gun of guard robot fires a shot continuously. The bodies of guard robot are modelled in flexible multi-body. The results of its analysis is compared with results of rigid bodies. The tools of computer simulation is used in Multi-body dynamics program.

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Free vibration analysis of nonlocal viscoelastic nanobeam with holes and elastic foundations by Navier analytical method

  • Ola A. Siam;Rabab A. Shanab;Mohamed A. Eltaher;Norhan A. Mohamed
    • Advances in aircraft and spacecraft science
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    • v.10 no.3
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    • pp.257-279
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    • 2023
  • This manuscript is dedicated to deriving the closed form solutions of free vibration of viscoelastic nanobeam embedded in an elastic medium using nonlocal differential Eringen elasticity theory that not considered before. The kinematic displacements of Euler-Bernoulli and Timoshenko theories are developed to consider the thin nanobeam structure (i.e., zero shear strain/stress) and moderated thick nanobeam (with constant shear strain/stress). To consider the internal damping viscoelastic effect of the structure, Kelvin/Voigt constitutive relation is proposed. The perforation geometry is intended by uniform symmetric squared holes arranged array with equal space. The partial differential equations of motion and boundary conditions of viscoelastic perforated nonlocal nanobeam with elastic foundation are derived by Hamilton principle. Closed form solutions of damped and natural frequencies are evaluated explicitly and verified with prestigious studies. Parametric studies are performed to signify the impact of elastic foundation parameters, viscoelastic coefficients, nanoscale, supporting boundary conditions, and perforation geometry on the dynamic behavior. The closed form solutions can be implemented in the analysis of viscoelastic NEMS/MEMS with perforations and embedded in elastic medium.

Non-linear Dynamic Analysis of Cable Structures Using Elastic Catenary (탄성 현수선 요소를 이용한 케이블 구조물의 비선형 동적해석)

  • Hwang Jin-Hong;Lee Sang-Ju;Han Sang-Eul
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2005.04a
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    • pp.473-480
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    • 2005
  • Geometrical non-linearity due to the flexibility of cables must be considered efficiently in the dynamic analysis of cable structures. In this paper, formulation of tangent stiffness matrix of elastic catenary cable is derived by using relative nodal displacements, self-weight and unstressed cable length. Free vibration analysis of simply supported cable using elastic catenary cable elements is conducted and compared with that using truss elements. The result shows that elastic catenary cable elements are more compatible than truss elements in the case of analysis of cable structures. Furthermore, the characteristic of dynamic behaviors of cable structures by temporary unstability phenomenon is confirmed.

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Elastic porabolic element for initial shaping analysis of cable-stayed bridges (사장교의 초기형상해석을 위한 탄성포물선요소)

  • Kyung Yong-Soo;Kim Ho-Kyung;Kim Moon-Young
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2005.04a
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    • pp.481-488
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    • 2005
  • This study presents a elastic parabolic cable element for initial shaping analysis of cable structures. First, the compatibility condition and the tangent stiffness matrices of the elastic catenary cable element are shortly summarized. Next the force-deformation relations and the tangent stiffness matrices of the elastic parabolic cable elements are derived from the assumption that sag configuration under self-weights is small. To confirm the accuracy of this element, initial shaping analysis of cable-stayed bridges under dead loads is executed. Finally, the accuracy and the validity of the analysis-results are compared and analyzed through numerical examples.

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