A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
Homogenization based topology optimization of fluid-pressure loaded structures using the Biot–Darcy Model
Homogenization method is applied to topology optimization of a weakly coupled two physics problem, where structures are made of periodically perforated material. The microscopic periodic cell is macroscopically modulated, where the design is characterized by the material density and its homogenized Hooke’s law at each point of the domain. The coupling is weak because the two physics involved are solved consecutively: first, the coupled fluid is determined using Biot–Darcy’s law and second, the fluid-structure problem by solving the linear poro-elasticity system; our aim is to optimize the homogenized formulation of this two-physic problem. This approach permits a computationally low cost of evaluation of load sensitivities using the adjoint-state method. Numerical two-dimensional test cases are presented using the alternate directions algorithm. It is demonstrated how the implementation can address a variety of design problems.
Homogenization based topology optimization of fluid-pressure loaded structures using the Biot–Darcy Model
Homogenization method is applied to topology optimization of a weakly coupled two physics problem, where structures are made of periodically perforated material. The microscopic periodic cell is macroscopically modulated, where the design is characterized by the material density and its homogenized Hooke’s law at each point of the domain. The coupling is weak because the two physics involved are solved consecutively: first, the coupled fluid is determined using Biot–Darcy’s law and second, the fluid-structure problem by solving the linear poro-elasticity system; our aim is to optimize the homogenized formulation of this two-physic problem. This approach permits a computationally low cost of evaluation of load sensitivities using the adjoint-state method. Numerical two-dimensional test cases are presented using the alternate directions algorithm. It is demonstrated how the implementation can address a variety of design problems.
Homogenization based topology optimization of fluid-pressure loaded structures using the Biot–Darcy Model
Optim Eng
Oheneba Agyekum, Godfred (author) / Cangémi, Laurent (author) / Jouve, François (author)
Optimization and Engineering ; 25 ; 459-490
2024-03-01
32 pages
Article (Journal)
Electronic Resource
English
Topology optimization , Multi-scale , Periodic homogenization , Porous medium , Adjoint methods , Fluid-structure interaction Mathematics , Optimization , Engineering, general , Systems Theory, Control , Environmental Management , Operations Research/Decision Theory , Financial Engineering , Mathematics and Statistics
Topology Optimization using Homogenization
| British Library Conference Proceedings | 2003
Topology optimization of smart structures using a homogenization approach
| Tema Archive | 2004
Topology Optimization of Smart Structures using a Homogenization Approach
| British Library Online Contents | 2004
| British Library Online Contents | 2015