Modelling three-dimensional piece-wise homogeneous domains using the α-shape-based natural element method
✍ Scribed by E. Cueto; B. Calvo; M. Doblaré
- Book ID
- 102961363
- Publisher
- John Wiley and Sons
- Year
- 2002
- Tongue
- English
- Weight
- 533 KB
- Volume
- 54
- Category
- Article
- ISSN
- 0029-5981
- DOI
- 10.1002/nme.452
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
In this paper, the application of the natural element method (NEM) to the numerical analysis of two‐ and three‐dimensional piece‐wise homogeneous domains is presented. The NEM differs from other meshless methods in its capability to accurately reproduce essential boundary conditions along convex boundaries. The α‐shape‐based extension of this method (α‐NEM) generalizes this behaviour to non‐convex domains, enables us to construct models entirely in terms of the initial cloud of points and allows us to simulate material discontinuities in a straightforward manner. In the following sections, simple and effective algorithms are presented for the construction of α‐shapes in domains composed of various materials. Examples are presented in two‐ and three‐dimensional cases in the context of linear elastostatics showing good performance even with the simple numerical quadrature used. Copyright © 2002 John Wiley & Sons, Ltd.