A level set topology optimization method using a biharmonic equation based on plate theory

2019 ◽  
Vol 60 (6) ◽  
pp. 2431-2459 ◽  
Author(s):  
Mohammad Yaghmaei ◽  
Ali Ghoddosian
Keyword(s):  
Topology Optimization ◽  
Level Set ◽  
Biharmonic Equation ◽  
Plate Theory ◽  
Optimization Method ◽  
Topology Optimization Method

Displacement and Stress Constrained Topology Optimization

2013 ◽  
Author(s):  
Meisam Takalloozadeh ◽  
Krishnan Suresh
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Topology Optimization ◽  
Level Set ◽  
Numerical Experiments ◽  
Optimization Method ◽  
Stress Constraints ◽  
Element Analysis ◽  
The Finite Element Analysis ◽  
Topology Optimization Method

The objective of this paper is to demonstrate a topology optimization method subject to displacement and stress constraints. The method does not rely on pseudo-densities; instead it exploits the concept of topological level-set where ‘partial’ elements are avoided. Consequently: (1) the stresses are well-defined at all points within the evolving topology, and (2) the finite-element analysis is robust and efficient. Further, in the proposed method, a series of topologies of decreasing volume fractions are generated in a single optimization run. The method is illustrated through numerical experiments in 2D.

scholarly journals 1111 Construction of a New Boundary Tracking Type Level-set Topology Optimization Method

2013 ◽  
Vol 2013.23 (0) ◽  
pp. _1111-1_-_1111-8_
Author(s):  
Shintaro YAMASAKI ◽  
Atsushi KAWSMOTO ◽  
Tsuyoshi NOMURA ◽  
Kikuo FUJITA
Keyword(s):  
Topology Optimization ◽  
Level Set ◽  
Optimization Method ◽  
Boundary Tracking ◽  
Topology Optimization Method
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