Open Access
ABSTRACT
Darrell W. Pepper1, Xiuling Wang2
The International Conference on Computational & Experimental Engineering and Sciences, Vol.3, No.3, pp. 121-126, 2007, DOI:10.3970/icces.2007.003.121
Abstract This article has no abstract. More >
Open Access
ABSTRACT
N. Mai-Duy1, T. Tran-Cong1
The International Conference on Computational & Experimental Engineering and Sciences, Vol.3, No.3, pp. 127-132, 2007, DOI:10.3970/icces.2007.003.127
Abstract This lecture presents an overview of the Integral Collocation formulation for numerically solving partial differential equations (PDEs). However, due to space limitation, the paper only describes the latest development, namely schemes based only on one-dimensional (1D) integrated interpolation even in multi-dimensional problems. The proposed technique is examined with Chebyshev polynomials and radial basis functions (RBFs). The latter can be used in both regular and irregular domains. For both basis functions, the accuracy and convergence rates of the new technique are better than those of the differential formulation. More >
Open Access
ABSTRACT
Zhenhan Yao1,Zhangfei Zhang1, Xi Zhang1
The International Conference on Computational & Experimental Engineering and Sciences, Vol.3, No.3, pp. 133-138, 2007, DOI:10.3970/icces.2007.003.133
Abstract The Meshless Local Petrov-Galerkin (MLPG) Method is applied to solve large deformation problems of elasto-plastic materials. In order to avoid re-computation of the shape functions, the supports of MLS approximation functions cover the same sets of nodes during the deformation; fundamental variables are represented in spatial configuration, while the numerical quadrature is conducted in the material configuration; the derivation of shape function to spatial coordinate is pushed back to material coordinate by tensor transformation. For simulating both large strain and large rotation, the multiplicative hyperelasto-plastic constitutive model is adopted for path-dependent material. Numerical results indicate that the MLPG method can… More >
Open Access
ABSTRACT
Yanan Liu1, Yinghua liu1, Zhangzhi Cen1
The International Conference on Computational & Experimental Engineering and Sciences, Vol.3, No.3, pp. 139-144, 2007, DOI:10.3970/icces.2007.003.139
Abstract In this paper, a Daubechies(DB) wavelet-based meshless method is proposed to analyze 2-D elastoplasticity problems. Using DB wavelet scaling functions and wavelet functions as basis functions to approximate the unknown field functions, there is no need to construct the shape functions costly as done in FEM and conventional meshless methods. Incremental formulations are established for solution of 2-D elastoplasticity problems. In addition, the property of DB wavelet is used to make the method concise in formulations, flexible in applications and easy to realize. Due to the lack of Kroneker delta properties in scaling functions and wavelet functions, the penalty method… More >
Open Access
ABSTRACT
S.S. Chen1, Y.H. Liu1, Z.Z. Cen1
The International Conference on Computational & Experimental Engineering and Sciences, Vol.3, No.3, pp. 145-150, 2007, DOI:10.3970/icces.2007.003.145
Abstract A solution procedure for lower bound limit analysis is presented making use of the element free Galerkin (EFG) method rather than of the traditional numerical methods such as finite element method and boundary element method. A reduced basis technique is adopted to solve the mathematical programming iteratively in a sequence of reduced self-equilibrium stress subspaces with very low dimensions. Numerical example in this paper shows that it is feasible and efficient to solve the problems of limit analysis by using the EFG method. More >
Open Access
ABSTRACT
M.D. de Tullio1, P. De Palma1, G. Pascazio1, M. Napolitano1
The International Conference on Computational & Experimental Engineering and Sciences, Vol.3, No.3, pp. 151-156, 2007, DOI:10.3970/icces.2007.003.151
Abstract This paper provides a numerical method based on the immersed boundary approach for computing compressible viscous flows. The efficency of the method is enhanced by using a flexible local grid refinement technique which is obtained by coarsening a uniformly fine mesh far from high-gradient flow regions, such as boundary layers and shocks. More >
Open Access
ABSTRACT
J. António1 , A. Tadeu1, L. Godinho
The International Conference on Computational & Experimental Engineering and Sciences, Vol.3, No.3, pp. 157-162, 2007, DOI:10.3970/icces.2007.003.157
Abstract A frequency dependent formulation based on the Method of Fundamental Solutions (MFS) is used to simulate the sound wave propagation in a 3D acoustic space. This solution is approximated by a linear combination of fundamental solutions generated by virtual sources placed outside the domain in order to avoid singularities. The coating materials can be assumed to be absorbent. This is achieved in the model prescribing the impedance that is defined as a function of the absorption coefficient.
The model is first verified against analytical solutions, provided by the image source technique for a parallelepiped room bounded by rigid walls. The… More >
Open Access
ABSTRACT
A. Tadeu1, L. Godinho1, J. António1, P. Amado Mendes1
The International Conference on Computational & Experimental Engineering and Sciences, Vol.3, No.3, pp. 163-168, 2007, DOI:10.3970/icces.2007.003.163
Abstract This paper evaluates the 3D wave propagation in an elastic slab containing cracks whose geometry does not change along the direction parallel to the formation surfaces. Two different formulations are used and compared: the Traction Boundary Element Method (TBEM) and the Method of Fundamental Solutions (MFS). Both approaches are developed in the frequency domain and surmount the thin-body difficulty posed by the classical Boundary Element Method (BEM).
The TBEM models the crack as a single line. The resulting hypersingular integrals are evaluated analytically. For the MFS, the solution is approximated in terms of a linear combination of fundamental solutions, generated… More >
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