Hybrid Cellular Automaton: A Novel Framework for Non-Linear Topology Optimization

2010 ◽  
Author(s):  
Kapil Khandelwal ◽  
Andrés Tovar
Keyword(s):  
Topology Optimization ◽  
Cellular Automaton ◽  
Linear Topology ◽  
Non Linear

scholarly journals Online Non-linear Topology Identification from Graph-connected Time Series

2021 ◽  
Author(s):  
Rohan Money ◽  
Joshin Krishnan ◽  
Baltasar Beferull-Lozano
Keyword(s):  
Time Series ◽  
Linear Topology ◽  
Topology Identification ◽  
Non Linear

Topology Optimization of Geometrically Non-Linear Structures Using Iso-XFEM Method

2014 ◽  
Vol 627 ◽  
pp. 121-124
Author(s):  
M. Abdi ◽  
I. Ashcroft ◽  
R.D. Wildman
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Topology Optimization ◽  
Optimization Method ◽  
Test Case ◽  
Optimization Approach ◽  
Element Mesh ◽  
Non Linear ◽  
Linear Behaviour ◽  
Element Method

Iso-XFEM is an evolutionary-based topology optimization method which couples the extended finite element method (X-FEM) with an isoline/isosurface optimization approach, enabling a smooth and accurate representation of the design boundary in a fixed-grid finite element mesh. This paper investigates the application of the Iso-XFEM method to the topology optimization of structures which experience large deformation. The total Lagrangian formulation of the finite element method is employed to model the geometrically non-linear behaviour and equilibrium is found by implementing the Newton-Raphson method in each evolution. A cantilever beam is considered as a test case and the Iso-XFEM solutions obtained from linear and non-linear designs are compared with bi-directional evolutionary structural optimization (BESO) solutions.

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