Computational mechanics paper
Saputra, AA, Ooi, ET, Birk, C, Song, C 2014, 'Three-dimensional transient fracture analysis using scaled boundary finite elements and octree mesh', in ST Smith (ed.), 23rd Australasian Conference on the Mechanics of Structures and Materials (ACMSM23), vol. II, Byron Bay, NSW, 9-12 December, Southern Cross University, Lismore, NSW, pp. 807-812. ISBN: 9780994152008.
The scaled boundary finite element method (SBFEM) is applied to three-dimensional (3D) transient fracture analysis. A systematic octree meshing process is used to divide the problem domain into smaller subdomains to model complicated geometries and stress singularities accurately. To model a subdomain, the SBFEM only requires discretization of the boundary (using 2D elements) while solution in the interior of the subdomain is described analytically. The meshing process is therefore simpler than that required by the conventional finite element method (FEM) with 3D elements. The octree mesh also increases the computational efficiency as the stiffness and mass matrices of subdomains of the same type only need to be computed once. The SBFEM is shown to solve fracture problems efficiently as the analytical solution in the scaling direction allows simple extraction of the stress intensity factors without excessive mesh refinement in the vicinity of stress singularities.