Open Access
ARTICLE
Y. Miao1, T.G. HE1, H. Luo1,2, H.P. Zhu1
CMES-Computer Modeling in Engineering & Sciences, Vol.85, No.6, pp. 481-498, 2012, DOI:10.3970/cmes.2012.085.481
Abstract Combined the hybrid boundary node method (Hybrid BNM) and the dual reciprocity principle, a truly boundary-type meshless method, namely, dual hybrid boundary node method (Dual Hybrid BNM) is presented for solving transient dynamic fracture problems. The enriched basis functions in moving least squares (MLS) approximation is presented for simulating the singularity of the stress field on the tip of the fracture. The solution in Dual Hybrid BNM is divided into particular solution and complementary solution. The complementary solution is solved by means of Hybrid BNM, and the particular solution is approximated by using radial basis functions (RBF). The inner nodes… More >
Open Access
ARTICLE
C.-D. Tran1, N. Mai-Duy1,1, K. Le-Cao1, T. Tran-Cong1
CMES-Computer Modeling in Engineering & Sciences, Vol.85, No.6, pp. 499-520, 2012, DOI:10.3970/cmes.2012.085.499
Abstract A numerical computation of continuum-microscopic model for visco-elastic flows based on the Integrated Radial Basis Function (IRBF) Control Volume and the Stochastic Simulation Techniques (SST) is reported in this paper. The macroscopic flow equations are closed by a stochastic equation for the extra stress at the microscopic level. The former are discretised by a 1D-IRBF-CV method while the latter is integrated with Euler explicit or Predictor-Corrector schemes. Modelling is very efficient as it is based on Cartesian grid, while the integrated RBF approach enhances both the stability of the procedure and the accuracy of the solution. The proposed method is… More >
Open Access
ARTICLE
Tsung-Yu Huang1, Wen-Hwa Chen1,2
CMES-Computer Modeling in Engineering & Sciences, Vol.85, No.6, pp. 521-542, 2012, DOI:10.3970/cmes.2012.085.521
Abstract A rigorous three-dimensional analysis model is established to calculate the restoring force and restoring torque for the self-alignment of the micropart with the binding site in solution using the Surface Evolver Program, which is developed for analyzing the liquid formation due to surface tension and other energies. The motions of the micropart studied include translation, compression, yawing and rolling, respectively. More >
Open Access
ARTICLE
J. Sladek1, V. Sladek1, P. Stanak1, P.H. Wen2, S.N. Atluri3
CMES-Computer Modeling in Engineering & Sciences, Vol.85, No.6, pp. 543-572, 2012, DOI:10.3970/cmes.2012.085.543
Abstract A meshless local Petrov-Galerkin (MLPG) method is applied to solve laminate piezoelectric plates described by the Reissner-Mindlin theory. The piezoelectric layer can be used as a sensor or actuator. A pure mechanical load or electric potential are prescribed on the top of the laminated plate. Both stationary and transient dynamic loads are analyzed here. The bending moment, the shear force and normal force expressions are obtained by integration through the laminated plate for the considered constitutive equations in each lamina. Then, the original three-dimensional (3-D) thick plate problem is reduced to a two-dimensional (2-D) problem. Nodal points are randomly distributed… More >