Locking materials and the topology of optimal shapes. (English) Zbl 1014.74058
Summary: We study the problem of structural optimisation using the fictitious material approach. This is connected with the equilibrium of locking materials, which can be approximated by strongly nonlinear materials. A finite element simulation allows us to experiment with some conjectures about the topology of optimal solutions.
MSC:
| 74P15 | Topological methods for optimization problems in solid mechanics |
| 74S05 | Finite element methods applied to problems in solid mechanics |
Keywords:
shape optimisation; topological optimisation; fictitious material approach; equilibrium of locking materials; strongly nonlinear materials; finite element simulationReferences:
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