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 More >

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 More >

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 >

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 >

Suely Oliveira², Fang Yang²

The International Conference on Computational & Experimental Engineering and Sciences, Vol.3, No.2, pp. 113-120, 2007, DOI:10.3970/icces.2007.003.113

Abstract In this paper we describe and compare preconditioners for saddle-point systems obtained from meshfree discretizations, using the concepts of hierarchical (or H-)matrices. Previous work by the authors using this approach did not use H-matrix techniques throughout, as is done here. Comparison shows the method described here to be better than the author's previous method, an AMG method adapted to saddle point systems, and conventional iterative methods such as JOR. More >

R. Vignjevic¹, T. De Vuyst², J.C. Campbell¹

The International Conference on Computational & Experimental Engineering and Sciences, Vol.3, No.2, pp. 107-112, 2007, DOI:10.3970/icces.2007.003.107

Abstract An approach to the treatment of contact problems involving frictionless sliding and separation under large deformations in meshless methods is proposed. The method is specially suited for non-structured spatial discretisation. The contact conditions are imposed using a contact potential for particles in contact. Inter-penetration is checked as a part of the neighbourhood search. In the case of conventional SPH contact conditions are enforced on the boundary layer 2h thick while in the case of the normalized SPH contact conditions are enforced for the particles lying on the contact surface. The implementation of the penalty based More >

I.K. Lifanov¹, Y.A. Melnikov², A.S. Nenashev³

The International Conference on Computational & Experimental Engineering and Sciences, Vol.3, No.2, pp. 101-106, 2007, DOI:10.3970/icces.2007.003.101

Abstract Two different boundary integral equation method-based approaches are developed for computing potential fields generated by point sources in multiply-connected regions of irregular configuration. Numerical experiment is conducted to demonstrate the computational potential of the approaches. More >

Chein-Shan Liu¹, Yung-Wei Chen², Jiang-Ren Chang²

The International Conference on Computational & Experimental Engineering and Sciences, Vol.3, No.2, pp. 93-100, 2007, DOI:10.3970/icces.2007.003.093

Abstract A new collocation method is developed here to solve the elliptic boundary value problems with singularities. Specifically, we consider the Motz problem as a test of the performance of the new method, which is found accurate and effective. More >

J. Sladek¹, V. Sladek¹, Ch. Zhang², C.L. Tan³

The International Conference on Computational & Experimental Engineering and Sciences, Vol.3, No.2, pp. 87-92, 2007, DOI:10.3970/icces.2007.003.087

Abstract In this paper, the Meshless Local Petrov-Galerkin (MLPG) method for two-dimensional (2-d), linear and transient coupled thermoelastic analysis in orthotropic solids is presented. To eliminate the time-dependence in the governing equations, the Laplace-transform technique is used. Local integral equations are derived for small circular sub-domains which surround nodal points distributed over the analyzed domain. As for the spatial variations of the displacements and temperature, they are approximated by the Moving Least-Squares (MLS) scheme. More >

R. Schaback¹

The International Conference on Computational & Experimental Engineering and Sciences, Vol.3, No.2, pp. 81-86, 2007, DOI:10.3970/icces.2007.003.081

Abstract This is a short summary of recent mathematical results on error bounds and convergence of certain unsymmetric methods, including variations of Kansa's collocation technique and Atluri's MLPG method. The presentation is kept as simple as possible in order to address a larger community working on applications in Science and Engineering. More >