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Research Papers

Deformation of Multicomponent Models With Nonmatching Interfaces

[+] Author and Article Information
Aifang Zhou

Department of Mechanical and Automation Engineering, Computer Aided-Design Laboratory, Chinese University of Hong Kong, Shatin, New Territory, Hong Kongafzhou@mae.cuhk.edu.hk

Kinchuen Hui

Department of Mechanical and Automation Engineering, Computer Aided-Design Laboratory, Chinese University of Hong Kong, Shatin, New Territory, Hong Kongkchui@mae.cuhk.edu.hk

J. Comput. Inf. Sci. Eng 9(4), 041006 (Nov 24, 2009) (9 pages) doi:10.1115/1.3245287 History: Received August 05, 2008; Revised January 22, 2009; Published November 24, 2009; Online November 24, 2009

In this paper, a traction superimposition method for simulating the deformation of multicomponent elastic models with different interfacial mesh densities is introduced. By applying linear interpolation method, the displacement data can be transferred between nonconforming interfaces. With the application of energy conservation principle, a relationship between the forces on different surfaces is constructed. By considering the displacement compatibility conditions together with force equilibrium conditions over the common interfaces, a relation between different components of a system is established. However, this interpolation method is only applicable to object components with the same or similar mesh densities. For models with different mesh densities between neighboring components, abnormities arise in the deformation. The causes of these abnormities are parsed by experiments and theoretical analysis. To eliminate the abnormal deformation, a traction superimposition method is proposed to enforce the force constraints on the interfaces. Experimental results are provided to verify this approach.

Copyright © 2009 by American Society of Mechanical Engineers
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Figures

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Nonmatching interfaces

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The normalized difference between uc488,488 and the displacements with different mesh densities

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Deformation of models with different mesh densities

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A two-component model

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Interpolating the displacement of the nodes at the interface of component 2 by those of component 1

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Force superimposition for nonmatching interfaces

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Deformation using force superimposition method

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The comparison of the interfacial nodal displacement with/without using force superimposition

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Nonmatching interface with nonuniform mesh density

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Deformable models of body organs

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Figure 1

Deforming objects with a nonmatching interface

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Figure 2

Linear interpolation of a point on a triangle

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Matching interfaces

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Displacement interpolation with the coarse mesh as the reference

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Displacement interpolation with the fine mesh as the reference for nonmatching interface

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Figure 11

Interpolating the displacement of the nodes at the interface of component 1 by those of component 2

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Figure 17

A multimaterial deformable tire model with nonmatching interfaces

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