CMES-Vol. 85, No. 6, 2012

Open Access

ARTICLE

Dual Hybrid Boundary Node Method for Solving Transient Dynamic Fracture Problems
Y. Miao¹, T.G. HE¹, H. Luo^1,2, 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 More >

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ARTICLE

A Continuum-Microscopic Method Based on IRBFs and Control Volume Scheme for Viscoelastic Fluid Flows
C.-D. Tran¹, N. Mai-Duy^1,1, 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 More >

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ARTICLE

The Self-Alignment of Microparts in Solutions
Tsung-Yu Huang¹, Wen-Hwa Chen^1,2
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 >

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ARTICLE

Laminated Elastic Plates with Piezoelectric Sensors and Actuators
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. More >

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