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A new transition technique for the combination of meshfree methods with other numerical methods from macro- to nanoscales

Gu, YuanTong & Hargreaves, Douglas J. (2007) A new transition technique for the combination of meshfree methods with other numerical methods from macro- to nanoscales. In 3rd Asian-Pacific Congress on Computational Mechanics, 3 - 6 December 2007, Kyoto, Japan.

Abstract

Coupling the meshfree methods with othe numerical methods has good potential in computational mechanics. In this paper, to ensure the compatibility conditions for not only displacements but also its gradients, a new transition technique is proposed based on the penalty method and the transition particles. The bridge regions are used to connect the domains of different methods. The high-order compatibility conditions are satisfied through some regularly distributed transition particles. The new transition technique has several advantages: 1) through the use of the transition particles, the nodes (or atoms) in the transition region are totally independent, which will reduce significantly the cost for the node generation in the transition region; 2) the compatibility conditions in the transition region can be conveniently controlled through the adjustment of the number and distribution of the transition particles; 3) the compatibility of higher order derivatives can be easily satisfied. Several problems of fracture mechanics and multiscale analyses for solids are simulated by the newly developed coupled methods. Some key parameters used in the transition technique have been thoroughly studied and recommended. It has been demonstrated that the new transition technique is very accurate and stable, and it has very good potential to become a practical modeling and simulation tool for engineering.

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ID Code: 12636
Item Type: Conference Paper
Keywords: Coupled method, meshfree method, finite element method, molecular dynamics, bridge transition
Subjects: Australian and New Zealand Standard Research Classification > ENGINEERING (090000) > MECHANICAL ENGINEERING (091300) > Mechanical Engineering not elsewhere classified (091399)
Australian and New Zealand Standard Research Classification > TECHNOLOGY (100000) > NANOTECHNOLOGY (100700) > Nanotechnology not elsewhere classified (100799)
Australian and New Zealand Standard Research Classification > ENGINEERING (090000) > MATERIALS ENGINEERING (091200) > Materials Engineering not elsewhere classified (091299)
Divisions: Past > QUT Faculties & Divisions > Faculty of Built Environment and Engineering
Current > Institutes > Institute of Health and Biomedical Innovation
Copyright Owner: Copyright 2007 (please consult author)
Deposited On: 25 Feb 2008
Last Modified: 02 Apr 2012 12:58

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