A virtual work derivation of the scaled boundary finite-element method for elastostatics

By A. Deeks, J. Wolf. 2002

390 citations recorded by the source corpus.

Subfields: Computational Mechanics, Control and Systems Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/e619e2a991318129ddfb975f419a20eebb5ac2c4

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. Chongmin Song
2. E. Ooi
3. Francis Tin-Loi
4. T. Vu
5. Zhenjun Yang
6. Sundararajan Natarajan
7. A. Deeks
8. I. Chiong

In Control and Systems Engineering

1. Chongmin Song
2. E. Ooi
3. Wei Gao
4. Francis Tin-Loi
5. Sundararajan Natarajan
6. T. Vu
7. M. Bazyar
8. M. Genes

In Mechanics of Materials

1. E. Ooi
2. Chongmin Song
3. Francis Tin-Loi
4. Sundararajan Natarajan
5. I. Chiong
6. T. Vu
7. Wei Gao
8. A. Deeks

Citations in the corpus

• Computation of 3-D stress singularities for multiple cracks and crack intersections by the scaled boundary finite element method (2012, neutral): “Deeks and Wolf (2002).”
• A super‐element for crack analysis in the time domain (2004, background): “A virtual work derivation is discussed in Reference [27].”
• Polygon scaled boundary finite elements for crack propagation modelling (2012, methodology): “/D c1 1 1C c2 2 2C c3 3 3C : : :, (21) where the vectors i and exponents i can be interpreted as independent deformation modes and corresponding scaling factors that closely satisfy internal equilibrium in the direction [33].”
• A matrix function solution for the scaled boundary finite-element equation in statics (2004, background): “[21] for a virtual work approach.”
• High‐order plate bending analysis based on the scaled boundary finite element method (2013, methodology): “After expressing the governing differential equations in the scaled boundary coordinates, the virtual work principle is applied in the discretised plane [69].”
• Transient seepage analysis in zoned anisotropic soils based on the scaled boundary finite‐element method (2015, methodology): “The book by Wolf and Song [21] applies this technique to 2D and 3D statics, dynamics and diffusion in unbounded and bounded media.”
• Dynamic soil–structure interaction analysis of layered unbounded media via a coupled finite element/boundary element/scaled boundary finite element model (2005, methodology): “The SBFEM proposed by Wolf and Song (Finite-element Modelling of Unbounded Media.”
• A review of the scaled boundary finite element method for two-dimensional linear elastic fracture mechanics (2017, methodology): “After expressing the governing differential equations in the scaled boundary coordinates, Galerkin’s weighted residual method [49] or the principle of virtual work [87] can be applied in the circumferential direction η .”
• Scaled boundary polygons with application to fracture analysis of functionally graded materials (2014, methodology): “The SBFEM is a semi-analytical method that was developed by Song and Wolf [21].”
• A unified 3D‐based technique for plate bending analysis using scaled boundary finite element method (2012, methodology): “(15) The derivation of the scaled boundary finite element equation is based on the principle of virtual work [62] starting with the virtual work equation, ıU ıW D 0, (16)”