Topological shape optimization of geometrically nonlinear structures using level set method

Authors:
Juho Kwak;Seonho Cho
Affiliations:
Department of Structure Research, Maritime Research Institute, Hyundai Heavy Industries Co., Ltd., 1 Cheonha-Dong, Dong-Gu, Ulsan, Korea;Department of Naval Architecture and Ocean Engineering, Seoul National University, San 56-1, Sillim-Dong, Kwanak-Gu, Seoul 151742, Korea
Venue:
Computers and Structures
Year:
2005

Citing 3
Cited 4

Generating optimal topologies in structural design using a homogenization method

Computer Methods in Applied Mechanics and Engineering
Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations

Journal of Computational Physics
Structural boundary design via level set and immersed interface methods

Journal of Computational Physics

Level set based topological shape optimization of geometrically nonlinear structures using unstructured mesh

Computers and Structures
Structural topology optimization with implicit design variable-optimality and algorithm

Finite Elements in Analysis and Design
Level-set methods for structural topology optimization: a review

Structural and Multidisciplinary Optimization
A survey of structural and multidisciplinary continuum topology optimization: post 2000

Structural and Multidisciplinary Optimization

Quantified Score

Hi-index	0.00

Visualization

Abstract

Using the level set method, a topological shape optimization method is developed for geometrically nonlinear structures in total Lagrangian formulation. The structural boundaries are implicitly represented by the level set function, obtainable from ''Hamilton-Jacobi type'' equation with ''up-wind scheme,'' embedded into a fixed initial domain. The method minimizes the compliance through the variations of implicit boundary, satisfying an allowable volume requirement. The required velocity field to solve the Hamilton-Jacobi equation is determined by the descent direction of Lagrangian derived from an optimality condition. Since the homogeneous material property and implicit boundary are utilized, the convergence difficulty is significantly relieved.