Author pages are created from data sourced from our academic publisher partnerships and public sources.

Publications Influence

The scaled boundary finite-element method—alias consistent infinitesimal finite-element cell method—for elastodynamics

The scaled boundary finite-element method, alias the consistent infinitesimal finite-element cell method, is developed starting from the governing equations of linear elastodynamics. Only the… Expand

443 10

The scaled boundary finite element method in structural dynamics

- C. Song
- Mathematics
- 19 February 2009

The scaled boundary finite element method is extended to solve problems of structural dynamics. The dynamic stiffness matrix of a bounded (finite) domain is obtained as a continued fraction solution… Expand

105 7

A matrix function solution for the scaled boundary finite-element equation in statics

- C. Song
- Mathematics
- 18 June 2004

The scaled boundary finite-element method is a fundamental-solution-less boundary element method based on finite elements. It leads to semi-analytical solutions for displacement and stress fields,… Expand

127 7

An improved non-classical method for the solution of fractional differential equations

A procedure to construct temporally local schemes for the computation of fractional derivatives is proposed. The frequency-domain counterpart (iω)α of the fractional differential operator of order α… Expand

26 6

A super‐element for crack analysis in the time domain

- C. Song
- Mathematics
- 28 October 2004

A super-element for the dynamic analysis of two-dimensional crack problems is developed based on the scaled boundary finite-element method. The boundary of the super-element containing a crack tip is… Expand

68 6

Low-discrepancy sequence initialized particle swarm optimization algorithm with high-order nonlinear time-varying inertia weight

- Chengwei Yang, W. Gao, N. Liu, C. Song
- Mathematics, Computer Science
- Appl. Soft Comput.
- 1 April 2015

TLDR

42 5

Polygon scaled boundary finite elements for crack propagation modelling

- E. Ooi, C. Song, F. Tin-Loi, Z. Yang
- Mathematics
- 20 July 2012

SUMMARY
An automatic crack propagation modelling technique using polygon elements is presented. A simple algorithm to generate a polygon mesh from a Delaunay triangulated mesh is implemented. The… Expand

129 4

The scaled boundary finite element method

- C. Song
- Mathematics
- 17 May 2015

In the finite element method, a problem domain is divided into elements of simple geometries. The shapes of the finite elements are typically limited to triangles and quadrilaterals in 2D and… Expand

26 4

Probabilistic interval analysis for structures with uncertainty

- W. Gao, C. Song, F. Tin-Loi
- Mathematics
- 1 May 2010

Abstract A hybrid probabilistic and interval method for engineering problems described by a mixture of random and interval variables is presented. Random interval arithmetic for carrying out basic… Expand

126 3

Consistent Infinitesimal Finite-Element Cell Method: Three-Dimensional Vector Wave Equation

To calculate the unit-impulse response matrix of an unbounded medium for use in a time-domain analysis of unbounded medium–structure interaction, the consistent infinitesimal finite-element cell… Expand

91 3