Open Access
ARTICLE
T.Y. Wu1
CMES-Computer Modeling in Engineering & Sciences, Vol.82, No.2, pp. 83-112, 2011, DOI:10.32604/cmes.2011.082.083
Abstract In this work nonlinear analysis of axi-symmetric solid using vector mechanics is performed, in which a triangular solid unit developed in compliance with the concept of vector form analysis is proposed. The vector form analysis uses point value description (rather than function) to describe motion and configuration of solid, which has governing equation directly formulated with respect to each mass point (particle). The point value description includes particles allocation for configuration and defining path elements for particle motion. In addition, constitutive conditions are properly defined to complete the formulation. The constitutive conditions linking the mass points in deformable solids are… More >
Open Access
ARTICLE
Jorge Daniel Riera1, Letícia Fleck Fadel Miguel2, Ignacio Iturrioz3
CMES-Computer Modeling in Engineering & Sciences, Vol.82, No.2, pp. 113-136, 2011, DOI:10.32604/cmes.2011.082.113
Abstract In the truss-like Discrete Element Method (DEM), masses are considered lumped at nodal points and interconnected by means of uni-dimensional elements with arbitrary constitutive relations. In previous studies of the tensile fracture behavior of concrete cubic samples, it was verified that numerical predictions of fracture of non-homogeneous materials using DEM models are feasible and yield results that are consistent with the experimental evidence so far available. Applications that demand the use of large elements, in which extensive cracking within the elements of the model may be expected, require the consideration of the increase with size of the fractured area, in… More >
Open Access
ARTICLE
C.-D. Tran1, D.-A. An-Vo1, N. Mai-Duy1, T. Tran-Cong1
CMES-Computer Modeling in Engineering & Sciences, Vol.82, No.2, pp. 137-162, 2011, DOI:10.32604/cmes.2011.082.137
Abstract This paper presents a numerical approach for macro-micro multi-scale modelling of visco-elastic fluid flows based on the Integrated Radial Basis Function Networks (IRBFNs) and the Stochastic Simulation Technique (SST). The extra stress is calculated using the Brownian configuration fields (BCFs) technique while the velocity field is locally approximated at a set of collocation points using 1D-IRBFNs. In this approach, the stress is decoupled from the velocity field and computed from the molecular configuration directly without the need for a closed form rheological constitutive equation. The equations governing the macro flow field are discretised using a meshless collocation method where the… More >