Numerical Modeling of Fracture Process Using Element-Free Method

Cheng Fan

doi:10.4028/www.scientific.net/AMM.427-429.146

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 427-429Numerical Modeling of Fracture Process Using...

Numerical Modeling of Fracture Process Using Element-Free Method

Abstract:

A new element-free formulation of Kriging interpolation procedure based on finite covers technique and Kriging interpolation method which integrates the flexibilities of the manifold method in dealing with discontinuity and the element-free features of the moving Kriging interpolation. Two cover systems are employed in this method. Mathematical cover of the solution domain under consideration are used to construct shape function and physical cover is used to reproduce the geometry of the solution domain. The mathematical covers can take any types of shape and is much easily formed compared with those in the conventional MM. The presented method can overcome some difficulties in conventional element-free Galerkin methods in treating discontinuous crack problems. The fundamental theory of this procedure is illustrated and numerical analyses of examples show that the proposed procedure is an effective and simple method with higher computational accuracy.

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Periodical:

Applied Mechanics and Materials (Volumes 427-429)

Pages:

146-149

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.427-429.146

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Online since:

September 2013

Authors:

Cheng Fan*

Keywords:

Element-Free Method, Finite Cover, Kriging Interpolation, Manifold Method

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