Phase Field Based Structural Topology Optimization

2014 ◽  
Author(s):  
A. Myslinski ◽  
M. Wróblewski
Keyword(s):  
Topology Optimization ◽  
Phase Field ◽  
Structural Topology Optimization ◽  
Structural Topology

scholarly journals Phase-field Approaches to Structural Topology Optimization

2011 ◽  
pp. 245-256 ◽  
Author(s):  
Luise Blank ◽  
Harald Garcke ◽  
Lavinia Sarbu ◽  
Tarin Srisupattarawanit ◽  
Vanessa Styles ◽  
...  
Keyword(s):  
Topology Optimization ◽  
Phase Field ◽  
Structural Topology Optimization ◽  
Structural Topology ◽  
Field Approaches

scholarly journals Relating phase field and sharp interface approaches to structural topology optimization

2014 ◽  
Vol 20 (4) ◽  
pp. 1025-1058 ◽  
Author(s):  
Luise Blank ◽  
Harald Garcke ◽  
M. Hassan Farshbaf-Shaker ◽  
Vanessa Styles
Keyword(s):  
Topology Optimization ◽  
Phase Field ◽  
Sharp Interface ◽  
Structural Topology Optimization ◽  
Structural Topology

scholarly journals Mixed variational formulations for structural topology optimization based on the phase-field approach

2021 ◽  
Vol 64 (4) ◽  
pp. 2627-2652 ◽  
Author(s):  
Michele Marino ◽  
Ferdinando Auricchio ◽  
Alessandro Reali ◽  
Elisabetta Rocca ◽  
Ulisse Stefanelli
Keyword(s):  
Finite Element ◽  
Topology Optimization ◽  
Phase Field ◽  
Mixed Finite Element ◽  
Three Dimensional ◽  
Structural Topology Optimization ◽  
Global Constraint ◽  
Structural Topology ◽  
Element Discretization ◽  
Optimization Formulation

AbstractWe propose a variational principle combining a phase-field functional for structural topology optimization with a mixed (three-field) Hu–Washizu functional, then including directly in the formulation equilibrium, constitutive, and compatibility equations. The resulting mixed variational functional is then specialized to derive a classical topology optimization formulation (where the amount of material to be distributed is an a priori assigned quantity acting as a global constraint for the problem) as well as a novel topology optimization formulation (where the amount of material to be distributed is minimized, hence with no pre-imposed constraint for the problem). Both formulations are numerically solved by implementing a mixed finite element scheme, with the second approach avoiding the introduction of a global constraint, hence respecting the convenient local nature of the finite element discretization. Furthermore, within the proposed approach it is possible to obtain guidelines for settings proper values of phase-field-related simulation parameters and, thanks to the combined phase-field and Hu–Washizu rationale, a monolithic algorithm solution scheme can be easily adopted. An insightful and extensive numerical investigation results in a detailed convergence study and a discussion on the obtained final designs. The numerical results clearly highlight differences between the two formulations as well as advantages related to the monolithic solution strategy; numerical investigations address both two-dimensional and three-dimensional applications.

scholarly journals Multi-material Phase Field Approach to Structural Topology Optimization

2014 ◽  
pp. 231-246 ◽  
Author(s):  
Luise Blank ◽  
M. Hassan Farshbaf-Shaker ◽  
Harald Garcke ◽  
Christoph Rupprecht ◽  
Vanessa Styles
Keyword(s):  
Topology Optimization ◽  
Phase Field ◽  
Structural Topology Optimization ◽  
Structural Topology ◽  
Field Approach

Explicit structural topology optimization using BEM ‐based MMV approach

2021 ◽  
Author(s):  
Weisheng Zhang ◽  
Qingqing Jiang ◽  
Weizhe Feng ◽  
Sung‐Kie Youn ◽  
Xu Guo
Keyword(s):  
Topology Optimization ◽  
Structural Topology Optimization ◽  
Structural Topology
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