A new transition technique for the combination of meshfree methods with other numerical methods from macro- to nanoscales
(2007) A new transition technique for the combination of meshfree methods with other numerical methods from macro- to nanoscales. In Proceedings 3rd Asian-Pacific Congress on Computational Mechanics CD Proceeding, pages pp. 452-460, Kyoto, Japan.
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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.
| Item Type: | Conference Paper |
|---|---|
| RM Number: | 2008003179 |
| Status: | Published |
| Keywords: | Coupled method, meshfree method, finite element method, molecular dynamics, bridge transition |
| Subjects: | 290000 Engineering and Technology > 290500 Mechanical and Industrial Engineering > 290501 Mechanical Engineering 290000 Engineering and Technology > 291800 Interdisciplinary Engineering > 291804 Nanotechnology 290000 Engineering and Technology > 291400 Materials Engineering > 291499 Materials Engineering not elsewhere classified |
| ID Code: | 12636 |
| Deposited By: | GU, YT |
| Deposited On: | 25 February 2008 |
| Alternative Locations: | http://www.apacm.org/apcom07-epmescXI/ |
| Copyright Owner: | Copyright 2007 (please consult author) |