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Advanced RBF Mesh Morphing for Multi-physics Applications with Evolutionary Shapes

In: Fast Radial Basis Functions for Engineering Applications

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  • Marco Evangelos Biancolini

    (University of Rome “Tor Vergata”, Department of Enterprise Engineering “Mario Lucertini”)

Abstract

In many multi-physics fields the evolution of model shapes can be predicted in advance or determined in an evolutionarily manner during computing. For such applications, the analyst can use RBF mesh morphing to reliably handle geometrical variations and build-up automatic and efficient workflows. Depending on the extent of the modification between one shape configuration and the successive one, either a single or sequential multi-stage morphing approach (see Sect. 6.1.3 ) can be employed. A complete description of mesh morphing based on Fast RBF is provided in Chap. 6 . In the following sections the basic principles of the application of mesh morphing for the simulation of evolutionary shapes are provided. The method is first explained step by step with a practical example about snow accretion and then advanced usage examples of ice accretion are provided. Successively, the chapter includes examples of the application of mesh morphing in FEA for Fracture Mechanics demonstrating how crack update and propagation can be consistently addressed. Shape optimisations of structural parts using the biological growth method (BGM) are finally presented.

Suggested Citation

  • Marco Evangelos Biancolini, 2017. "Advanced RBF Mesh Morphing for Multi-physics Applications with Evolutionary Shapes," Springer Books, in: Fast Radial Basis Functions for Engineering Applications, chapter 0, pages 175-224, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-75011-8_9
    DOI: 10.1007/978-3-319-75011-8_9
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