• Title/Summary/Keyword: element integration

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Analysis of RC walls with a mixed formulation frame finite element

  • Saritas, Afsin;Filippou, Filip C.
    • Computers and Concrete
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    • v.12 no.4
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    • pp.519-536
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    • 2013
  • This paper presents a mixed formulation frame element with the assumptions of the Timoshenko shear beam theory for displacement field and that accounts for interaction between shear and normal stress at material level. Nonlinear response of the element is obtained by integration of section response, which in turn is obtained by integration of material response. Satisfaction of transverse equilibrium equations at section includes the interaction between concrete and transverse reinforcing steel. A 3d plastic damage model is implemented to describe the hysteretic behavior of concrete. Comparisons with available experimental data on RC structural walls confirm the accuracy of proposed method.

Study on the Natural Element Method using Petrov-Galerkin Concepts (페트로프-갤러킨 개념에 기초한 자연요소법에 관한 연구)

  • Lee, Hong-Woo;Cho, Jin-Rae
    • Proceedings of the KSME Conference
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    • 2003.11a
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    • pp.1274-1279
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    • 2003
  • In this paper, a new meshfree technique which improves the numerical integration accuracy is introduced. This new method called the Petrov-Galerkin natural element(PG-NE) is based on the Voronoi diagram and the Delaunay triangulation which is based on the same concept used for conventional natural element method called the Bubnov-Galerkin natural element(BG-NE). But, unlike BG-NE method, the test shape function is differently chosen from the trial shape function. The proposed technique ensures that the numerical integration error is remarkably reduced.

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A Parallel Finite Element Procedure for Contact-Impact Problems (충돌해석을 위한 병렬유한요소 알고리즘)

  • Har, Jason
    • Proceedings of the KSME Conference
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    • 2003.11a
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    • pp.1286-1290
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    • 2003
  • This paper presents a newly implemented parallel finite element procedure for contact-impact problems. Three sub-algorithms are includes in the proposed parallel contact-impact procedure, such as a parallel Belytschko-Lin-Tsay (BLT) shell element generation, a parallel explicit time integration scheme, and a parallel contact search algorithm based on the master slave slide-line algorithm. The underlying focus of the algorithms is on its effectiveness and efficiency for inclusion in future finite element systems on parallel computers. Throughout this research, a prototype code, named GT-PARADYN, is developed on the IBM SP2, a distributed-memory computer. Some numerical examples are provided to demonstrate the timing results of the procedure, discussing the accuracy and efficiency of the code.

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A co-rotational 8-node assumed strain element for large displacement elasto-plastic analysis of plates and shells

  • Kim, K.D.
    • Structural Engineering and Mechanics
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    • v.15 no.2
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    • pp.199-223
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    • 2003
  • The formulation of a non-linear shear deformable shell element is presented for the solution of stability problems of stiffened plates and shells. The formulation of the geometrical stiffness presented here is exactly defined on the midsurface and is efficient for analyzing stability problems of thick plates and shells by incorporating bending moment and transverse shear resultant force. As a result of the explicit integration of the tangent stiffness matrix, this formulation is computationally very efficient in incremental nonlinear analysis. The element is free of both membrane and shear locking behaviour by using the assumed strain method such that the element performs very well in the thin shells. By using six degrees of freedom per node, the present element can model stiffened plate and shell structures. The formulation includes large displacement effects and elasto-plastic material behaviour. The material is assumed to be isotropic and elasto-plastic obeying Von Mises's yield condition and its associated flow rules. The results showed good agreement with references and computational efficiency.

An Analysis of High Speed Forming Using the Explicit Time Integration Finite Element Method (I) -Effects of Friction and Inertia Force- (엑스플리시트 시간 적분 유한요소법을 이용한 고속 성형 해석 (I) -마찰 및 관성 효과-)

  • 유요한;정동택
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.1
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    • pp.1-10
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    • 1991
  • Two-dimensional explicit finite element code was developed. The transient dynamics code can analyse large deformations of non-linear materials subjected to extremely high strain rates. The Lagrangian finite element program uses an explicit time integration operator to integrate the equations of motion, thus the stiffness matrix is not introduced. Cylinder upsetting and ring compression problems are simulated to check the effects of friction and inertia force. It is shown that (1) calculated results agree very well with experimental results, (2) constant shear friction method overestimates the decrease of inner ring radius and then underestimates after on in comparison with the Coulomb friction method, and (3) the effect of the increase in initial strain rate is similar to the effect of higher frictional coefficient.

A Study on setting the Environment of Inclusive Playground Including Disabled Children and Children without Disabilities (including at-risk children) based on J. Ayres' Sensory Integration Theory (감각통합이론에 근거한 장애와 비장애를 포용하는 놀이터 환경 구성에 관한 연구)

  • Kim, Naeri
    • Korean Institute of Interior Design Journal
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    • v.24 no.3
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    • pp.205-212
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    • 2015
  • This study starts at the at-risk children(the students in the margins)' needs for the inclusive education environment who increased lately. It is studied in the limited scope, which is about spacially 'playground' and 'Sensory integrative therapy' in terms of the special education therapy. The 6 environmental setting principles are suggested, which is redefined in terms of suitable for applying to the environment design based on the training way and arbitration principle of J. Ayres' Sensory integrative therapy. And then various environment design methods are drawn from above-mentioned 6 principles, they are categorized in 4 elements for environmental setting - sensory element, behavior element, mental element and design expression element. This trial brings daily practice of therapeutic stimulate to sensory integration dysfunction children, and sensory experiential diversity promoting development to general children. Expecially it has some advantage that at-risk children(the students in the margins) feel a sense of belonging as a member of society.

The Petrov-Galerkin Natural Element Method : I. Concepts (페트로프-갤러킨 자연요소법 : I. 개념)

  • Cho, Jin-Rae;Lee , Hong-Woo
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.18 no.2
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    • pp.103-111
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    • 2005
  • In this paper, a new meshfree technique which improves the numerical integration accuracy is introduced. This new method called thc Petrov-Galerkin natural clement method(PG-NEM) by authors is based on the Voronoi diagram and the Delaunay triangulation which is based on the same concept used lot conventional natural clement method called the Bubnov-Galerkin natural element method(BG-NEM). But, unlike the BG-NEM, the test basis function is differently chosen, based on the concept of Petrov-Galerkin, such that its support coincides exactly with a regular integration region in background mesh. Therefore, it is expected that the proposed technique ensures the remarkably improved numerical integration accuracy in comparison with the BG-NEM.

Coupling non-matching finite element discretizations in small-deformation inelasticity: Numerical integration of interface variables

  • Amaireh, Layla K.;Haikal, Ghadir
    • Coupled systems mechanics
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    • v.8 no.1
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    • pp.71-93
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    • 2019
  • Finite element simulations of solid mechanics problems often involve the use of Non-Confirming Meshes (NCM) to increase accuracy in capturing nonlinear behavior, including damage and plasticity, in part of a solid domain without an undue increase in computational costs. In the presence of material nonlinearity and plasticity, higher-order variables are often needed to capture nonlinear behavior and material history on non-conforming interfaces. The most popular formulations for coupling non-conforming meshes are dual methods that involve the interpolation of a traction field on the interface. These methods are subject to the Ladyzhenskaya-Babuska-Brezzi (LBB) stability condition, and are therefore limited in their implementation with the higher-order elements needed to capture nonlinear material behavior. Alternatively, the enriched discontinuous Galerkin approach (EDGA) (Haikal and Hjelmstad 2010) is a primal method that provides higher order kinematic fields on the interface, and in which interface tractions are computed from local finite element estimates, therefore facilitating its implementation with nonlinear material models. The inclusion of higher-order interface variables, however, presents the issue of preserving material history at integration points when a increase in integration order is needed. In this study, the enriched discontinuous Galerkin approach (EDGA) is extended to the case of small-deformation plasticity. An interface-driven Gauss-Kronrod integration rule is proposed to enable adaptive enrichment on the interface while preserving history-dependent material data at existing integration points. The method is implemented using classical J2 plasticity theory as well as the pressure-dependent Drucker-Prager material model. We show that an efficient treatment of interface variables can improve algorithmic performance and provide a consistent approach for coupling non-conforming meshes in inelasticity.

The Modeling of the Element Breakdown Structure(EBS) Applicable to Construction Fields for the Integration of the Construction Information in Apartment (공동주택에서의 건설정보통합을 위한 실무형 부위별 분류체계 구축에 관한 연구)

  • Song Hyuk;Ryu Seong-Ryong;Lee Han-Min;Chung Hwan-Wook;Im Jong-Seong;Go Seong-Seok
    • Korean Journal of Construction Engineering and Management
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    • v.1 no.4 s.4
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    • pp.98-105
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    • 2000
  • The drawing information takes the most essential part of construction information. The management of construction information through drawing information facilitates input, output and search process, thus helping maximize the usage of construction information by effectively sharing construction experience and drawing information. This paper shows how construction information can effectively used to increase the productivity of the construction process as a whole. Construction information was extracted and classified by the elements of building which are the basic and very end components of building, to accumulate information of each construction phase. Based on the result, the Element Breakdown Structure(EBS) was developed for the practical usage of construction information integration.

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New Anisoparametric 3-Node Elements for Out-of-Plane Deformable Curved Beam

  • Kim, Moon-Joon;Min, Oak-Key;Kim, Yong-Woo;Moon, Won-Joo
    • Journal of Mechanical Science and Technology
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    • v.14 no.3
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    • pp.272-282
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    • 2000
  • Based on numerical reduced minimization theory, new anisoparametric 3-node elements for out-of-plane curved beam are developed. The elements are designed to be free from spurious constraints. In this paper, the effect of the Jacobian upon numerical solution is analyzed and predicted through reduced minimization analysis of anisoparametric 3-node elements with different Jacobian assumption. The prediction is verified by numerical tests for circular and spiral out-of-plane deformable curved beam models. This paper proposes two kinds of 3-node elements with 7-DOF; one element employs 2-point integration for all strains, and the other element uses 3-point integration with a constant Jacobian within element for calculation of shear strain.

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