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SBFEM is used for three-dimensional modeling of thick laminated composite plates, where plate theories fail to provide the accurate results. SBFEM is a semi-analytical tool and have various advantages over finite element method. It allows for a coarse mesh and refinement over the boundaries only. This improves the computational efficiency by minimizing the number of nodes. Two different meshing structures are considered, and a comparison has been made in terms of various attributes for computational cost such as memory requirements, computational time, and solver complexity. Various numerical examples are considered to assess the suitability of SBFEM for the purpose. [ABSTRACT FROM AUTHOR]

Determination of effective composite properties for a real distribution of piezoelectric particles in cement matrix is considered using a representative volume element. The scaled boundary finite element method is proposed to analyse cement-based piezoelectric ceramic composites. Quadtree hierarchical meshing structure is utilized to provide a mesh that captures the material variation in the representative volume element effectively based on the colour of the piezoelectric composite’s image. Analyses with carefully selected boundary conditions are performed to obtain the effective material properties of various samples. [ABSTRACT FROM AUTHOR]

The research work extends the scaled boundary finite element method to non-deterministic framework defined on random domain wherein random behaviour is exhibited in the presence of the random-field uncertainties. The aim is to blend the scaled boundary finite element method into the Galerkin spectral stochastic methods, which leads to a proficient procedure for handling the stress singularity problems and crack analysis. The Young's modulus of structures is considered to have random-field uncertainty resulting in the stochastic behaviour of responses. Mathematical expressions and the solution procedure are derived to evaluate the statistical characteristics of responses (displacement, strain, and stress) and stress intensity factors of cracked structures. The feasibility and effectiveness of the presented method are demonstrated by particularly chosen numerical examples. Copyright © 2016 John Wiley & Sons, Ltd. [ABSTRACT FROM AUTHOR]

Digital imaging technologies such as X-ray scans and ultrasound provide a convenient and non-invasive way to capture high-resolution images. The colour intensity of digital images provides information on the geometrical features and material distribution which can be utilised for stress analysis. The proposed approach employs an automatic and robust algorithm to generate quadtree (2D) or octree (3D) meshes from digital images. The use of polygonal elements (2D) or polyhedral elements (3D) constructed by the scaled boundary finite element method avoids the issue of hanging nodes (mesh incompatibility) commonly encountered by finite elements on quadtree or octree meshes. The computational effort is reduced by considering the small number of cell patterns occurring in a quadtree or an octree mesh. Examples with analytical solutions in 2D and 3D are provided to show the validity of the approach. Other examples including the analysis of 2D and 3D microstructures of concrete specimens as well as of a domain containing multiple spherical holes are presented to demonstrate the versatility and the simplicity of the proposed technique. Copyright © 2016 John Wiley & Sons, Ltd. [ABSTRACT FROM AUTHOR]