Level set topology optimization for design-dependent pressure loads using the reproducing kernel particle method
Journal
Structural and Multidisciplinary Optimization
Journal Volume
61
Journal Issue
5
Start Page
1805
End Page
1820
ISSN
16151488
1615147X
Date Issued
2020
Author(s)
Abstract
This paper presents a level set topology optimization method in combination with the reproducing kernel particle method (RKPM) for the design of structures subjected to design-dependent pressure loads. RKPM allows for arbitrary particle placement in discretization and approximation of unknowns. This attractive property in combination with the implicit boundary representation given by the level set method provides an effective framework to handle the design-dependent loads by moving the particles on the pressure boundary without the need of remeshing or special numerical treatments. Moreover, the reproducing kernel (RK) smooth approximation allows for the Young’s modulus to be interpolated using the RK shape functions. This is another advantage of the proposed method as it leads to a smooth Young’s modulus distribution for smooth boundary sensitivity calculation which yields a better convergence. Numerical results show good agreement with those in the literature.
Subjects
Design-dependent Pressure Load
Level Set Method
Reproducing Kernel Particle Method
Topology Optimization
Loads (forces)
Topology
Boundary Representations
Design-dependent Loads
Numerical Treatments
Particle Placement
Reproducing Kernel
Reproducing Kernel Particle Method
Smooth Approximation
Topology Optimization Method
Numerical Methods
Publisher
Springer
Type
journal article