• Journal of the Computational Structural Engineering Institute of Korea
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• v.31 no.6
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• pp.381-388
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• 2018

This paper presents a generalized finite element formulation for plastic hinge modeling based on lumped plasticity in the classical Euler-Bernoulli beam elements. In this approach, the plastic hinges are effectively modeled using proper enrichment functions describing weak discontinuities of the solution. The proposed methodology enables the insertion of plastic hinges at an arbitrary location without modifying the connectivity of elements. The formations of plastic hinges are instead achieved by hierarchically adding degrees of freedom to existing elements. Convergence analyses such as h- and p-extensions are performed to investigate the effectiveness of the proposed method. The analysis results indicate that the proposed generalized finite element method can achieve theoretical convergence rates for both cases where plastic hinges are located at nodes and within an element, thus demonstrating its accuracy.

• Journal of the Korean Society for Aeronautical & Space Sciences
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• v.45 no.12
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• pp.1013-1020
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• 2017

In this study, the failure prediction of composite laminates under flexural loading is investigated. A FEA(finite element analysis) using 2D strain-based interactive failure theory. A pregressive failure analysis was applied to FEA for stiffness degradation with failure mode each layer. A three-point bending test based on the ASTM D790 are performed for cross-ply $[0/90]_8$ and quasi-isotropic $[0/{\pm}45/90]_{2s}$ laminated composites. The accuracy of the applied failure theory is verified with the experimental results and other failure criteria such as maximum strain, maximum stress and Tsai-Wu theories.

• Computational Structural Engineering
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• v.8 no.3
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• pp.79-89
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• 1995

Two-element plate concept is incorporated into the buckling problem in order to simplify the nonlinear distribution of stress through the thickness of plate. Finite element formulations and programs based upon the Reissner functional and the modified Reissner functional using two-element plate concept are developed for buckling analysis of plates under axial compression. The two programs have been applied to obtain the linear elastic buckling behavior of axially compressed flat plates. Excellent agreement of linear elastic-solution results with exact or approximate solutions of other authors for the same boundary conditions proves the validity of the finite element method using two-element plate theory.

• Journal of Korean Society of Steel Construction
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• v.16 no.1 s.68
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• pp.11-20
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• 2004

This paper focused on square steel tubular column to H-beam connections (concrete filled tubular) with an outside-type diaphragm. Based on the yield line theory and the nonlinear static FEM analysis the specification equations were evaluated by comparing them with previous result of the simplified tensile experiment[please check. The yield line theory applied to the mechanical model theory revised by K. Morita, the nonlinear static FEM analysis using abaqus/standard, the ultimate strength equation in the specification equation using the factor for long-time loading, and the yield ratio according to material. The allowable strength in the specification equations applied the safety factors of 2.2 and 2.6 in the cases with and without filled concrete, respectively. Therefore, the evaluation of strength(for the previous result of the simplified tensile experiment in this study) was considered possible through the yield line theory, the nonlinear static FEM analysis, and the specification equations. Likewise, the specification equations were seen to be an underestimate of the previous result of the simplified tensile experiment. The strength and displaced mesh in the FEM analysis approximated the previous result of the simplified tensile experiment.

• Journal of the Computational Structural Engineering Institute of Korea
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• v.22 no.2
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• pp.189-196
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• 2009

This paper presents the subparametric finite element model formulated by partial-linear layerwise theory for the analysis of laminate composites. The proposed model is based on refined approximations of two dimensional plane for orthotropic thick laminate plate as well as thin case. Three dimensional problem can be reduced to two dimensional case by assuming piecewise linear variation of in-plane displacement and a constant value of out-of-plane displacement across the thickness. The integrals of Legendre polynomials are chosen to define displacement fields and Gauss-Lobatto numerical integration is implemented in order to directly obtain maximum values occurred at the nodal points of each layer without other extrapolation techniques. The validity and characteristics of the proposed model have been tested by using orthotropic multilayered plate problem as compared to the values available in the published references. In this study, the convergence test has been carried out to determine the optimal layer model in terms of central deflection and stresses. Also, the distribution of displacements and stresses across the thickness has been investigated as the number of layer is increased.

• Journal of the Korean Geotechnical Society
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• v.15 no.5
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• pp.19-28
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• 1999

In this paper, an application of finite element procedure for the analysis of slope failure behavior has been studied. The most widely accepted methods in analyzing the slope stability problems are mostly based on limit equilibrium method. And the finite element method is widely accepted to analyze stress and displacements. This paper shows how the factor of safety calculated in the finite element method can be systematically incorporated into slope stability. In analyzing the slope failure behavior by finite element method, the effects of computational method and the results have been discussed. And several computations of slope stabilities were carried out to compare the finite element analysis results with those obtained by methods of slices based on the limit equilibrium analysis.

• Computational Structural Engineering
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• v.3 no.4
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• pp.91-104
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• 1990

Static performance of quadrilateral plate elements was compared through numerical experiments. Sixteen plate elements were selected for comparison from the literature, which were displacement elements, equilibrium elements, mixed elements or hybrid elements based on the Kirchhoff theory or the Mindlin theory. Thin plate bending problems, such as square plate problems, rhombic plate problems, circular plate problems and cantilevered plate problems, were modeled by various meshes and solved under various kinds of boundary conditions. Kirchhoff elements were not so good as Mindlin elements in view of efficiency and convergence. Hinton's elements resulted in the best results for the problems considered with respect to efficiency, convergence and reliability but in some problems they also resulted in more or less inaccurate solutions.

• Computational Structural Engineering
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• v.10 no.4
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• pp.205-216
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• 1997

In order to trace the lateral post-buckling behaviors of thin-wafled space frames, a geometrically nonlinear finite element formulation is presented by applying incremental equilibrium equations based on the updated Lagrangian formulation and introducing Vlasov's assumption. The improved displacement field for symmetric thin-walled cross sections is introduced based on inclusion of second order terms of finite rotations, and the potential energy corresponding to the semitangential rotations and moments is consistently derived. For finite element analysis, tangent stiffness matrices of the thinwalled space frame element with 7 degrees of freedom including the restrained warping for each node are derived by using the Hermition polynomials as shape functions. A co-rotational formulation in order to evaluate the unbalanced loads is presented by separating the rigid body rotations and pure deformations from incremental displacements and evaluating the updated direction cosines of the frame element due to rigid body rotations and incremental member forces from pure deformations. Finite element solutions for the spatial buckling and post-buckling analysis of thin-walled space frames are presented and compared with available solutions and other researcher's results.

• Computational Structural Engineering
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• v.11 no.4
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• pp.253-265
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• 1998

본 논문에서는 연계논문에서 제시한 비대칭 박벽단면을 갖는 곡선보 및 직선보 이론을 토대로, 곡선보 요소 및 직선보 요소를 개발하고 이를 이용한 유한요소 정식화 과정을 제시한다. 유한요소 정식화 과정에서는 요소의 변위장을 도심에 대하여 정의한 후, 요소 변위벡터에 관한 3차의 Hermitian 다항식을 형상함수로 사용하고 가우스 적분을 행함으로써 탄성 강도행렬 및 기하학적 강도행렬을 산정하였다. 얻어진 강도행렬을 이용하여 고유치 문제를 계산함으로써 좌굴하중을 계산하였으며 다양한 해석 예제를 통하여 다른 연구자들의 해석 결과와 비교 검토함으로써 본 연구의 타당성과 우수성을 입증하고자 한다.

• Proceedings of the Korean Society for Technology of Plasticity Conference
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• 1999.03b
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• pp.265-268
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• 1999

열간 박판 압연공정에서의 압연하중 압연동력을 실시간으로 계산할 수 있는 모델식을 유한요소 해석결과들을 이용하여 개발하였다 압연하중 압연동력값 결정에 비교적 큰 영향을 주는 인자들로는 형상계수 압하률, 률직경 률속도 스트립 입측온도, 탄소함량, 마찰계수들은 이론적으로 계산이 가능한 무마찰의 균일 평면 변형유 압축공정의 금형하중(F、) 동력 (P、)식을 도입함으로써 내삽모델식에서 제외시킬수 있었다 쿨롱마찰계수($\mu$) 0.3 일 경우의 유한요소해석 결과 데이터들을 내삽법(interpolation)을 통해서 다항식 형태로 {{{{ {F } over {F、 } }}}}, {{{{ { {P }_{f } } over { {P }_{d } } }}}}, {{{{ { {P }_{d } } over { {P }^{、 } } }}}} 식들을 구하였다 마찰계수에 따른{{{{ {F } over {F、 } }}}} {{{{ {P } over { {P }^{、 } } }}}}값의 변화는 형상계수에 따라 기울기가 결정되는 직선 형태로 나타내어짐을 유한요소해석 결과로부터 관찰 할 수 있었다. 이와같이 구한 압연하중 압연동력 모델식의 유효성을 검증하기 위해 무작위로 추출한 실제공정들에서 모델식으로 계산한 압연하중 압연동력 값들을 유한요소해석결과와 서로 비교해 보았다.