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Stacking sequence and shape optimization of laminated composite plates via a level-set method
- Source :
- Journal of the Mechanics and Physics of Solids, Journal of the Mechanics and Physics of Solids, Elsevier, 2016, 97, pp.168-196
- Publication Year :
- 2016
- Publisher :
- Elsevier BV, 2016.
-
Abstract
- International audience; We consider the optimal design of composite laminates by allowing a variable stacking sequence and in-plane shape of each ply. In order to optimize both variables we rely on a decomposition technique which aggregates the constraints into one unique constraint margin function. Thanks to this approach, a rigorous equivalent bi-level optimization problem is established. This problem is made up of an inner level represented by the combinatorial optimization of the stacking sequence and an outer level represented by the topology and geometry optimization of each ply. We propose for the stacking sequence optimization an outer approximation method which iteratively solves a set of mixed integer linear problems associated to the evaluation of the constraint margin function. For the topology optimization of each ply, we lean on the level set method for the description of the interfaces and the Hadamard method for boundary variations by means of the computation of the shape gradient. Numerical experiments are performed on an aeronautic test case where the weight is minimized subject to different mechanical constraints, namely compliance, reserve factor and buckling load.
- Subjects :
- Mathematical optimization
Level set method
Optimization problem
Stacking
Boundary (topology)
02 engineering and technology
Topology
Stacking sequence
[SPI]Engineering Sciences [physics]
0203 mechanical engineering
Topology optimization
Shape optimization
Composite laminates
Mathematics
Decomposition
Sequence
Mechanical Engineering
Level-set method
021001 nanoscience & nanotechnology
Condensed Matter Physics
020303 mechanical engineering & transports
Mechanics of Materials
Combinatorial optimization
[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]
0210 nano-technology
[MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]
74P15, 74P20, 49Q10
Subjects
Details
- ISSN :
- 00225096
- Volume :
- 97
- Database :
- OpenAIRE
- Journal :
- Journal of the Mechanics and Physics of Solids
- Accession number :
- edsair.doi.dedup.....739d99cef1b56c44acf45aef3ae04c22