Radial basis functions and level set method for structural topology optimization
β Scribed by Shengyin Wang; Michael Yu Wang
- Publisher
- John Wiley and Sons
- Year
- 2006
- Tongue
- English
- Weight
- 725 KB
- Volume
- 65
- Category
- Article
- ISSN
- 0029-5981
- DOI
- 10.1002/nme.1536
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## SUMMARY In this paper, we use binary level set method and MerrimanβBenceβOsher scheme for solving structural shape and topology optimization problems. In the binary level set method, the level set function can only take 1 and β1 values at convergence. Thus, it is related to phasefield methods. T
The technique for transferring the domain integrals into equivalent boundary integrals, published in this journal by Wen, Aliabadi and Rooke, requires analytical expressions for ΓΏve integrals of radial basis functions. Exact solutions for these integrals are obtained by using Mathematica. The soluti