• Journal of the Computational Structural Engineering Institute of Korea
• /
• v.20 no.6
• /
• pp.789-799
• /
• 2007

In this paper, we propose a stochastic finite element formulation which takes into account the randonmess in the material and geometrical parameters. The formulation is proposed for plate structures, and is based on the weighted integral approach. Contrary to the case of elastic modulus, plate thickness contributes to the stiffness as a third-order function. Furthermore, Poisson's ratio is even more complex since this parameter appears in the constitutive relations in the fraction form. Accordingly, we employ Taylor's expansion to derive decomposed stochastic field functions in ascending order. In order to verify the proposed formulation, the results obtained using the proposed scheme are compared with those in the literature and those of Monte Carlo analysis as well.

• Journal of the Computational Structural Engineering Institute of Korea
• /
• v.28 no.5
• /
• pp.485-490
• /
• 2015

This paper presents development of a geometrically nonlinear triangular planar element including rotational degrees of freedom, based on the co-rotational(CR) formulation. The CR formulation is one of the efficient geometrically nonlinear formulations and it is based on the assumptions on small strain and large rotation. In this paper, modified CR formulation is suggested for the developemnt of a triangular planar element. The present development is validated regarding the static and time transient problems. The present results are compared with the results predicted by the previous researchers and those obtained by the existing commercial software.

• Computational Structural Engineering
• /
• v.12 no.1
• /
• pp.27-34
• /
• 1999

독자적인 자동차 충돌해석용 프로그램 개발 및 응용기술을 목표로 Explicit 수식화, 셀 요소의 정식화, 교체요소의 정식화, 비선형스프링 요소의 개발, 초탄성 고무재료의 개발, Hourglass 제어, 접촉알고리즘 정식화 등의 프로그램의 기본 모듈을 구성하였고, 그래프 출력용 포스트 프로그램을 개발하였다. 비선형스프링, 에어백 모듈, 안전벨트 모듈 등이 개발되었으며, 자체구조물들의 정면·측면 충돌해석을 수행하고 상용충돌해석프로그램들과 그 결과를 비교하여 개발된 프로그램의 신뢰성을 확인하였다. 또한, 측면충돌 모델을 사용하여 설계초기단계에서 빠른 해석을 수행할 수 있도록 하는 Hybrid 모델링 기법을 개발하여 기존의 쉘모델의 결과와 비교·검토하였다. Hybrid 모델링시 조인트 부의 특성을 측면해석 모델에 적용하여 그 타당성을 검증하였다.

• Geotechnical Engineering
• /
• v.12 no.4
• /
• pp.145-156
• /
• 1996

An implicit stress integration algorithm was formulated for implementing an aiusotorpic hardening constitutive model which has been based op the generalized isotropic hardening rule in nonlinear finite element analysis technique. the rate form of stress tensor was implicitly integrated using the generalized trapezoidal rule and the tangent stress-strain modulus was evaluated consistently with the nonlinear solution technique. As a result, it has been found that the nonlinear analysis with the anisotropic hardening constitutive model might be performed accurately and efficiently.

• Journal of the Korean GEO-environmental Society
• /
• v.4 no.1
• /
• pp.5-10
• /
• 2003

The solids and the fluids in porous media have a relative velocity to each other. Due to physically and chemically different material properties and their relative velocity, the behavior of saturated porous media is extremely complicated. Thus, in order to describe and clarify the deformation behavior of saturated porous media, constitutive models for deformation of porous media coupling several effects need to be developed in frame of Arbitrary Lagrangian Eulerian(ALE) description. The aim of ALE formulations is to maximize the advantages of Lagrangian and Eulerian elements, and to minimize the disadvantages. Therefore, this method is appropriate for the analysis of porous media which are considered for the behavior of the solids and the fluids. For this reason, mass balance equations for saturated porous media are derived here in ALE description frames. ALE formulations of mass conservation for the solid phase and the fluid phase are expressed. Then, linear momentum balance equation for porous media as multiphase media is expressed.

• Journal of the Computational Structural Engineering Institute of Korea
• /
• v.24 no.5
• /
• pp.481-489
• /
• 2011

In this paper presents new force method by using singular value decomposition. The existing force method has some advantages about analysis of truss structures such as it is easier basic concept than finite element method, which apply to analyze truss structures. However, this method has complex formulation for analysis. Therefore, in this study proposes new force method using singular value decomposition, which is both having easy basic concept and simple computation than existing force method. The proposed method is illustrated through numerical examples.

• Proceedings of the Korean Geotechical Society Conference
• /
• 2002.03a
• /
• pp.55-62
• /
• 2002

미소변형에서 대변형에 이르는 전체 변형률 영역의 구성모델을 ABAQUS 코드에 구현하였다. 구성모델은 비등방경화규칙에 근거한 전응력 개념의 탄소성 모델로 연약 점토나 풍화토에 적용하는 것이 가능하다. 사용된 정식화 및 알고리즘은 (1) Jaumann 응력속도를 이용한 대변형도 조건 정식화 (2) 내재적인 응력적분 (3) 일관된 접선계수를 포함하고 있다. 이를 통하여 대변형 해석을 정확하고 효율적으로 수행할 수 있었다. 예제를 통하여 새로운 구성모델과 ABAQUS 코드를 이용한 대변형 해석을 수행할 수 있음을 확인하였다. 특히 전체변형률 영역의 거동을 모델하고 범용 해석 프로그램을 이용한 비선형 대변형 해석에 적용하는 것이 가능하였다.

• Journal of the Computational Structural Engineering Institute of Korea
• /
• v.12 no.1
• /
• pp.47-56
• /
• 1999

최근 요소망의 구성없이 공학적인 문제의 해석이 가능한 무요소법이 많은 학자들에 의하여 제안되고 이에 관한 집중적인 연구가 이루어지고 있다. 본 연구에서는 갤러킨 정식화에 의한 무요소법을 고체역학적인 문제에 적용하여 이의 특성을 규명하고자 하였다. 특히 일반적으로 사용되고 있는 몇가지 가중 함수를 선정하여 이들이 해석결과에 미치는 특성과 절점 배치방법 및 가중 함수의 영향 영역 변화에 따른 해의 정확도 등을 서로 비교하고 검토하였다. 연구결과로 가중 함수의 형태와 영향 영역의 크기, 기정 함수의 차수와 절점 배치방법 등은 서로 상관관계를 갖고 해의 정확도에 크게 영향을 미침을 확인할 수 있었고 이의 적절한 선정은 무요소해석의 중요한 요건임을 알 수 있었다.

• Journal of the Korean Geotechnical Society
• /
• v.18 no.4
• /
• pp.207-214
• /
• 2002

A constitutive model was implemented in ABAQUS code, The constitutive equation can model the behavior for overall range of strain level from small to large deformation, which is based on anisotropic hardening rule and total stress concept. The formulation includes (1) finite strain formulation on the basis of Jaumann rate, (2) implicit stress integration and (3) consistent tangent moduli. Therefore, the mathematical background was established in order that large deformation analysis can be performed accurately and efficiently with the anisotropic constitutive model. Companion paper(Jeon et al., 2002) will contain the large deformation analysis results of examples with the constitutive model using ABAQUS.

• Journal of Korean Society of Steel Construction
• /
• v.19 no.6
• /
• pp.599-610
• /
• 2007

In this paper, we described a co-rotational formulation for the geometrical nonlinear analysis of three-dimensional frames. We suggested a new concept called the Zero-Twist-Section Condition (ZTSC) to decide the element coordinate system consistently. According to the ZTSC procedure, it is possible to obtain an element coordinate system and natural deformations consistently when finite displacements and rotations are induced in an element. Based on the developed procedure, numerical examples are investigated to calculate natural rotations while finite displacements are imposed on an element. Also, the developed co-rotational procedure gives accurate results in the analysis of post-buckling problems with finite rotations.