Two-dimensional nonconforming finite elements: A state-of-the-art

Choi, Chang Koon; Kim, Sun-Hoon; Park, Young-Myung; Chung, Keun-Young

doi:10.12989/sem.1998.6.1.041

Cited by 12 publications

(3 citation statements)

References 39 publications

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“…where (14) and the term M (1; 2) is the interaction integral that is converted to an equivalent domain integral by Gauss's theorem as follows:…”

Section: Computation Of Fracture Parametersmentioning

confidence: 99%

“…It is, however, inconvenient to reÿne the mesh locally at certain parts of the structure by using only this type of elements. Since the new ÿnite element mesh generated by reÿnement should satisfy the nodal connectivity of the element, special elements to connect two di erent element layers are needed as transition elements [14,15]. In meshless methods, since the discretization is based only on a set of nodes and does not require a mesh, there is no need to apply the special treatment to ensure the boundary compatibility or to generate an element to ensure the connectivity of newly developed degrees of freedom.…”

Section: Strategymentioning

confidence: 99%

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Adaptive crack propagation analysis with the element‐free Galerkin method

Gyehee

Chung

Choi

2002

Numerical Meth Engineering

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SUMMARYIn this paper, an adaptive analysis of crack propagation based on the error estimation by the elementfree Galerkin (EFG) method is presented. The adaptivity analysis in quasi-static crack propagation is achieved by adding and=or removing the nodes along the background integration cells, those are reÿned or recovered according to the estimated errors. These errors are obtained basically by calculating the di erence between the values of the projected stresses and original EFG stresses. To evaluate the performance of the proposed adaptive procedure, the crack propagation behaviour is investigated for several examples. The results of these examples show the e ciency and accuracy of the proposed scheme in crack propagation analysis.

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“…where (14) and the term M (1; 2) is the interaction integral that is converted to an equivalent domain integral by Gauss's theorem as follows:…”

Section: Computation Of Fracture Parametersmentioning

confidence: 99%

Section: Strategymentioning

confidence: 99%

Adaptive crack propagation analysis with the element‐free Galerkin method

Gyehee

Chung

Choi

2002

Numerical Meth Engineering

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“…In general, wall element is treated in FEM as plane stress element (has two translational degrees of freedom per node) and beam element has three degrees of freedom per node (two translational and one rotational). Due to this reason, many research workers have taken into account the connections between shear wall and beam or shear wall and frame [4][5][6][7].…”

Section: Introductionmentioning

confidence: 99%

Numerical Model of Three‐dimensional Coupled Wall Structures

Miedziałowski

Chyży

Krętowska

2007

Journal of Civil Engineering and Management

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Three‐dimensional description of a building structure taking into consideration the soil structure interaction is a very complex problem; the solution of it is often obtained by the finite‐element method. However, this method takes a significant amount of computational time and memory. Therefore an efficient computational model based on the subdivision of the structure into building elements such as wall and floor slab elements, plane and three‐dimensional joints and lintels, that could provide accurate results with a significantly reduced computational time, is proposed in this study for the analysis of three‐dimensional structures. The examples prove the efficiency and the computing possibilities of the model.

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Quadratic NMS Mindlin-plate-bending element

Choi

Park

1999

Int. J. Numer. Meth. Engng.

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Two-dimensional nonconforming finite elements: A state-of-the-art

Cited by 12 publications

References 39 publications

Adaptive crack propagation analysis with the element‐free Galerkin method

Adaptive crack propagation analysis with the element‐free Galerkin method

Numerical Model of Three‐dimensional Coupled Wall Structures

Quadratic NMS Mindlin-plate-bending element

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