Use of higher‐order shape functions in the scaled boundary finite element method

By T. Vu, A. Deeks. 2006

111 citations recorded by the source corpus.

Subfields: Computational Mechanics, Electrical and Electronic Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/08a92983f62ed7235103bc155ac48f99eb8b9c7b

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. E. Ooi
2. Chongmin Song
3. Francis Tin-Loi
4. Brian P. Mann
5. Wei Gao
6. Firas A. Khasawneh
7. Zhenjun Yang
8. H. Man

In Electrical and Electronic Engineering

1. Francis Tin-Loi
2. E. Ooi
3. Wei Gao
4. H. Man
5. Chongmin Song
6. Brian P. Mann
7. Firas A. Khasawneh
8. Zhenjun Yang

In Mechanics of Materials

1. E. Ooi
2. Francis Tin-Loi
3. Chongmin Song
4. I. Chiong
5. Wei Gao
6. Zhenjun Yang
7. Sundararajan Natarajan
8. H. Man

Citations in the corpus

• A unified 3D‐based technique for plate bending analysis using scaled boundary finite element method (2012, background): “High-order spectral elements [65, 66] are employed to discretise the in-plane dimensions of the plate.”
• Scaled boundary polygons with application to fracture analysis of functionally graded materials (2014, methodology): “Alternatively, Gauss-Lobatto-Legendre shape functions can also be used [27, 49].”
• A scaled boundary polygon formulation for elasto-plastic analyses (2014, methodology): “Only the boundary of the polygon is discretized with one-dimensional elements using Gauss-Lobatto-Lagrange shape functions [66, 65].”
• High‐order plate bending analysis based on the scaled boundary finite element method (2013, unknown): “High-order spectral element High-order spectral elements [70, 71] are employed to discretise the in-plane dimensions of the plate.”
• Polygon scaled boundary finite elements for crack propagation modelling (2012, methodology): “In this study, two-noded linear elements (Figure 2(c)) are used, although higher order elements can be used to improve the solution’s accuracy as in FEM [32].”
• A spectral element approach for the stability of delay systems (2011, background): “In agreement with Reference [55], a more effective representation of Lagrange polynomials is provided by the barycentric formula according to i ( )= i − i∑n+1 k=1 k − k , (18) where k are the barycentric weights given by k = 1∏ k = j ( j − k) , j =1, . . . ,n+1.”