• Structural Engineering and Mechanics
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• 제86권3호
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• pp.311-324
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• 2023

Herein, we present effective polygonal finite elements to which the strain-smoothed element (SSE) method is applied. Recently, the SSE method has been developed for conventional triangular and quadrilateral finite elements; furthermore, it has been shown to improve the performance of finite elements. Polygonal elements enable various applications through flexible mesh handling; however, further development is still required to use them more effectively in engineering practice. In this study, piecewise linear shape functions are adopted, the SSE method is applied through the triangulation of polygonal elements, and a smoothed strain field is constructed within the element. The strain-smoothed polygonal elements pass basic tests and show improved convergence behaviors in various numerical problems.

• 대한건축학회논문집:구조계
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• 제35권9호
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• pp.159-169
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• 2019

This work presents the three-dimensional extended strain smoothing approach in the framework of finite element method, so-called smoothed finite element method (S-FEM) for quasi-incompressible hyperelastic materials undergoing the large deformations. The proposed method is known that the incompressible limits, such as over-estimation of stiffness and distorted mesh sensitivity, can be overcome in two dimensions. Therefore, in this paper, the idea of Cell-based, Edge-based and Node-based strain smoothing approaches is extended to three-dimensions. The construction of subcells and smoothing domains for each methods are explained. The smoothed strain-displacement matrix and the stiffness matrix are obtained on each smoothing domain in the same manner with two-dimensional S-FEM. Various numerical tests are studied to demonstrate the validity and accuracy of 3D-S-FEM. The obtained results are compared with analytical solutions to express the efficacy of the methods.

• 한국전산구조공학회논문집
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• 제36권5호
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• pp.295-305
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• 2023

본 연구에서는 평활화 유한요소법(Smoothed finite element method)을 도입한 위상분야법(Phase-field method)에 대해 소개하고자 한다. 위상분야법은 최근 균열 개시 및 전파 해석에 많이 사용되는 기법으로 균열 표면을 추적하기 위한 추가적인 처리기법이 필요하지 않는 특징이 있다. 위상분야법에서 복잡한 균열 전파를 포착하기 위해 높은 정확도의 변형률 에너지를 평활화 유한요소법을 도입하여 계산하였다. 평활화 유한요소법은 유한요소를 하위 셀로 나누고 각각의 하위 셀을 평활화 영역으로 재조립하여 변형률 에너지를 계산하게 된다. 또한 해석 시간 단축을 위하여 쿼드트리 요소망을 제안한 기법에 사용하였다. 수치 예제를 통하여 제안한 기법을 참조해 및 유한요소법과 비교하여 검증하였다.

• Computers and Concrete
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• 제16권6호
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• pp.933-961
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• 2015

Damage by high-speed impact fracture is a dominant mode of failure in several applications of concrete structures. Numerical modelling can play a crucial role in understanding and predicting complex fracture processes. The commonly used mesh-based Finite Element Method has difficulties in accurately modelling the high deformation and disintegration associated with fracture, as this often distorts the mesh. Even with careful re-meshing FEM often fails to handle extreme deformations and results in poor accuracy. Moreover, simulating the mechanism of fragmentation requires detachment of elements along their boundaries, and this needs a fine mesh to allow the natural propagation of damage/cracks. Smoothed Particle Hydrodynamics (SPH) is an alternative particle based (mesh-less) Lagrangian method that is particularly suitable for analysing fracture because of its capability to model large deformation and to track free surfaces generated due to fracturing. Here we demonstrate the capabilities of SPH for predicting brittle fracture by studying a slender concrete structure (column) under the impact of a high-speed projectile. To explore the effect of the projectile material behaviour on the fracture process, the projectile is assumed to be either perfectly-elastic or elastoplastic in two separate cases. The transient stress field and the resulting evolution of damage under impact are investigated. The nature of the collision and the constitutive behaviour are found to considerably affect the fracture process for the structure including the crack propagation rates, and the size and motion of the fragments. The progress of fracture is tracked by measuring the average damage level of the structure and the extent of energy dissipation, which depend strongly on the type of collision. The effect of fracture property (failure strain) of the concrete due to its various compositions is found to have a profound effect on the damage and fragmentation pattern of the structure.

• 한국산학기술학회논문지
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• 제18권7호
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• pp.709-713
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• 2017

일반적으로 항공기용 연료탱크는 평상시에는 연료 보관이 주요 기능이지만, 추락과 같은 긴급한 상황에서는 연료탱크의 건전성은 승무원의 생존 가능 여부와 직결된다. 특히, 항공기의 외부 보조 연료탱크가 조류충돌(bird strike)에 의한 파손으로 누유가 발생하게 되면 승무원의 생존성에 큰 위협이 될 수 있다. 이 때문에 항속거리 확장을 위한 보조연료탱크가 항공기 외부에 설치되는 경우에는 조류충돌에 대한 연료탱크의 건전성 입증이 요구된다. 본 연구에서는 외부 보조연료탱크용 복합재 컨테이너의 조류충돌 상황에 대한 영향성 분석을 위해 충돌해석 전용 소프트웨어를 사용하여 수치해석을 수행하였다. 수치모사를 위해 컨테이너 구조물은 쉘 유한요소를 사용하여 유한요소로 모델링하고 유체와 조류는 입자법을 사용하여 모델링 하였다. 수치해석 결과로 조류충돌에 의한 내부 유체의 거동을 살펴보고 구조물의 최대 변형량과 변형률을 계산하였으며 보조연료탱크 장착용 복합재 컨테이너의 최대응력 수준을 파악하여 외부 보조연료탱크 개발 초기 단계에서 조류충돌 영향성을 반영하기 위한 데이터 확보 가능성을 타진하였다.