Radial basis functions mesh morphing for the analysis of cracks propagation

Radial Basis Functions (RBF) mesh morphing, its theoretical basis, its numerical implementation, and its use for the solution of industrial problems, mainly in Computer Aided Engineering (CAE), are introduced. RBF theory is presented showing the mathematical framework for a basic RBF fit, its MathCAD implementation, and its usage. The equations required for a 2D case comparing RBF smoothing and pseudosolid smoothing based on Finite Elements Method (FEM) structural solution are given; RBF exhibits excellent performance and produces high quality meshes even for very large deformations. The industrial application of RBF morphing to Computational Fluid Dynamics (CFD) is covered presenting the RBF Morph software, its implementation, and a description of its working principles and performance. Practical examples include: physical problems that use CFD, shape parameterisation strategy, and modelling guidelines for setting-up a well posed RBF problem. Future directions explored are: transient shape evolution, fluid structure interaction modelling, and shape parameterization in multi-physics, multi-objective design optimization.

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High Quality Mesh Morphing Using Triharmonic Radial Basis Functions

Proceedings of the 21st International Meshing Roundtable ◽

10.1007/978-3-642-33573-0_1 ◽

2013 ◽

pp. 1-15 ◽

Cited By ~ 19

Author(s):

Daniel Sieger ◽

Stefan Menzel ◽

Mario Botsch

Keyword(s):

Radial Basis Functions ◽

Basis Functions ◽

High Quality ◽

Mesh Morphing ◽

Radial Basis

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Crack Propagation Analysis of Near-Surface Defects with Radial Basis Functions Mesh Morphing

Procedia Structural Integrity ◽

10.1016/j.prostr.2018.11.071 ◽

2018 ◽

Vol 12 ◽

pp. 471-478 ◽

Cited By ~ 3

Author(s):

Francesco Giorgetti ◽

Riccardo Cenni ◽

Andrea Chiappa ◽

Matteo Cova ◽

Corrado Groth ◽

...

Keyword(s):

Crack Propagation ◽

Radial Basis Functions ◽

Surface Defects ◽

Basis Functions ◽

Near Surface ◽

Mesh Morphing ◽

Propagation Analysis ◽

Radial Basis

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Thread Couplings Stress Analysis by Radial Basis Functions Mesh Morphing

Lecture Notes in Mechanical Engineering - Advances on Mechanics, Design Engineering and Manufacturing III ◽

10.1007/978-3-030-70566-4_19 ◽

2021 ◽

pp. 114-120

Author(s):

Michele Calì ◽

Salvatore Massimo Oliveri ◽

Marco Evangelos Biancolini

Keyword(s):

Stress Concentration ◽

Radial Basis Functions ◽

Basis Functions ◽

Mesh Morphing ◽

Threaded Connection ◽

Design Variables ◽

Radial Basis ◽

Minimum Stress ◽

Numerical Finite Element ◽

Thread Root

AbstractTraditional analytical methods are approximate and need to be validated when it comes to predict the tensional behavior of thread coupling. Numerical finite element simulations help engineers come up with the optimum design, although the latter depends on the constraints and load conditions of the thread couplings which are often variable during the system functioning. The present work illustrates a new method based on Radial Basis Functions Mesh Morphing formulation to optimize the stress concentration in thread couplings which is subject to variable loads and constraints. In particular, thread root and fillet under-head drawings for metric ISO thread, which are the most commonly used thread connection, are optimized with Radial Basis Functions Mesh Morphing. In metric ISO threaded connection, the root shape and the fillet under the head are circular, and from shape optimization for minimum stress concentration it is well known that the circular shape becomes seldom optimal. The study is carried out to enhance the stress concentration factor with a simple geometric parameterization using two design variables. Radial Basis Functions Mesh Morphing formulation, performed with a simple geometric parameterization, has allowed to obtain a stress reduction of up to 12%; some similarities are found in the optimized designs leading to the proposal of a new standard. The reductions in the stress are achieved by rather simple changes made to the cutting tool.

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Crack propagation analysis of ITER Vacuum Vessel port stub with Radial Basis Functions mesh morphing

Fusion Engineering and Design ◽

10.1016/j.fusengdes.2020.111617 ◽

2020 ◽

Vol 157 ◽

pp. 111617 ◽

Cited By ~ 1

Author(s):

Edoardo Pompa ◽

Gabriele D’Amico ◽

Stefano Porziani ◽

Francesco Giorgetti ◽

Corrado Groth ◽

...

Keyword(s):

Crack Propagation ◽

Radial Basis Functions ◽

Basis Functions ◽

Vacuum Vessel ◽

Mesh Morphing ◽

Propagation Analysis ◽

Radial Basis

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