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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 84
PROCEEDINGS OF THE FIFTH INTERNATIONAL CONFERENCE ON ENGINEERING COMPUTATIONAL TECHNOLOGY
Edited by: B.H.V. Topping, G. Montero and R. Montenegro
Paper 131

A Spatial Model for a Multi-Scale Product Design and Simulation System

K. Sakita

Department of Environmental Engineering for Symbiosis, Soka University, Tokyo, Japan

Full Bibliographic Reference for this paper
K. Sakita, "A Spatial Model for a Multi-Scale Product Design and Simulation System", in B.H.V. Topping, G. Montero, R. Montenegro, (Editors), "Proceedings of the Fifth International Conference on Engineering Computational Technology", Civil-Comp Press, Stirlingshire, UK, Paper 131, 2006. doi:10.4203/ccp.84.131
Keywords: product design, spatial model, multi-scale design and simulation, digital hologram, CAD, CAE.

Summary
The possibility of continuous design and simulation from micro-scale level to macro-scale level in the development of advanced ceramics material is briefly discussed in reference [1]. Reference [2] widely illustrates the theories and methods of simulation in the domain of micro, meso, and macro-scale levels for computational material science. The methods of design and simulation in each domain are mature but the vertical connection between the domains of micro, meso, and macro-scale levels does not exist. The property and the shape of the product are directly influenced by the very small structure designed at a nano and micro-scale level. From the point of view of the product designer, the product design and simulation system from micro-scale level to human-scale level is continuously required [3]. So, the spatial model for multi-scale product design and simulation is proposed. This is based on the potential field generated by the collection of the distribution functions about the attributes of materials or products. The spatial model provides a kind of model of the guiding field in terms of quantum mechanics [4].

The basic structure is sampled using a small portion of material or product at nano-scale and micro-scale levels [3]. The basic structure is sampled and measured by instruments such as nano tomography or scanning probe microscopy.

A formulation of the spatial model for multi-scale product design and simulation system is proposed. This model consists of: space for potential generators; three-dimensional interference fringe space; three-dimensional interpolated potential field; operator group; and space for display. The space for potential generators is made from the interaction of the external parameter, the information from the sampled basic structure of the material or product, and the atomistic or molecular data of the material or product. The space of potential generators and the point light source model make the three-dimensional interference fringe space. The assembly of the three-dimensional interference fringe spaces is a kind of manifold model of the whole material or product. The space for potential generators for meso and macro-scale levels is made from the sampled potential values of the reference point of the assembly of the three-dimensional interference fringe spaces. The space for potential generators for meso and macro-scale levels makes the three-dimensional interpolated potential field. In order to generate the entities for display at a meso-scale and macro-scale level, the operator groups operate on the three-dimensional interpolated potential field. The space for display is three-dimensional space, and represents the entities of micro-scale, meso-scale, and macro-scale levels generated from the assembly of the three-dimensional interference fringe spaces and the three-dimensional interpolated potential field using the operator groups.

The sampled basic structure, space of potential generators, the three-dimensional interference fringe space, the three-dimensional interpolated potential field, and the operator groups provide the methods which connect micro-scale, meso-scale, and macro-scale levels, and reduce the handling data of this system.

The potential generators are recorded in the digital holograms as a point light source [5]. Then, the pair of digital holograms represents the space of potential generators. As a digital hologram is a two-dimensional spatial frequency image, it contributes to the reduction of the amount of data handling in this system.

References
1
C.A.J. Fisher, "Theory, Simulation and Design of Advanced Ceramics and Composites", The European White Book on Fundamental Research in Material Science, Max Planck Institute for Metal Research Stuttgart, Germany, 2001.
2
D. Raabe, "Computational Material Science", Wiley-VCH Verlag GmbH, Germany, 1998. doi:10.1002/3527601945
3
K. Sakita, M. Igoshi, "A Shape Model With Digital Holograms for Multi-scale Product Shape Design and Simulation", Proceedings of AED 2004. Glasgow, UK, 2004.
4
W. Greiner, "Quantum Mechanics - An Introduction", Springer-Verlag, Berlin Heidelberg, Germany, 1989.
5
K. Sakita et al., "Shape Model for Product Image Development System of Industrial Design using Computer Holograms", VDI Report 1569, Munich, Germany, 2000.

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