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SUSTAINABLE MANUFACTURING SOLUTIONS
A nonlinear topology-based optimization approach for
the design of a heterogeneous mechanical test
Mafalda Gonçalves, Sandrine Thuillier, António Andrade-Campos
Centre for Mechanical Technology and Automation, Department of Mechanical Engineering, University of Aveiro, Portugal
Univ. Bretagne Sud, UMR CNRS 6027, IRDL, F-56100 Lorient, France
1
2
TEchMA 2022 - 5th International Conference on Technologies for the Wellbeing and Sustainable Manufacturing solutions
1 1
2
SUSTAINABLE MANUFACTURING SOLUTIONS
Sheet metal forming
SUSTAINABLE MANUFACTURING SOLUTIONS
Material waste
Time
Costs
Industry
requirements
Virtual
manufacturing
Numerical
simulation
SUSTAINABLE MANUFACTURING SOLUTIONS
Accurate reproduction
of material behavior
Material constitutive models
Experimental data
SUSTAINABLE MANUFACTURING SOLUTIONS
Classical mechanical tests
▪ Homogeneous strain fields
▪ Limited data can be extracted
▪ Large number of tests required
Time-consuming and expensive
SUSTAINABLE MANUFACTURING SOLUTIONS
How can we make this process more
efficient?
SUSTAINABLE MANUFACTURING SOLUTIONS
Heterogeneous mechanical tests
Classical mechanical tests
[1] [2] [3] [4] [5]
SUSTAINABLE MANUFACTURING SOLUTIONS
?
A single test rich enough to characterize accurately a complex material behavior
has not been found yet.
Classical mechanical tests
SUSTAINABLE MANUFACTURING SOLUTIONS
Heterogeneous stress field
Design of an innovative mechanical test
Topology-based optimization approach
Nonlinear behavior
Material nonlinearities (elastoplastic material behavior)
Geometric nonlinearities
SUSTAINABLE MANUFACTURING SOLUTIONS
Uniaxial tensile loading test
Fin
Test design
SUSTAINABLE MANUFACTURING SOLUTIONS
Fin
Test design
SUSTAINABLE MANUFACTURING SOLUTIONS
Results
SUSTAINABLE MANUFACTURING SOLUTIONS
Results
SUSTAINABLE MANUFACTURING SOLUTIONS
Results
Equivalent plastic strain
▪ Large area in the plastic regime
▪ The test can stand high strains which is important for the calibration of the
elastoplastic material behavior
SUSTAINABLE MANUFACTURING SOLUTIONS
Results
Principal strains ratio
▪ Heterogenous stress states distribution at the moment just before rupture
▪ Tension, compression and shear
SUSTAINABLE MANUFACTURING SOLUTIONS
Conclusions
▪ Design of a mechanical test
Numerical simulations Development
processes
▪ Material and geometric nonlinearities
▪ Heterogeneous stress fields
▪ Higher quality and quantity of information about the material
behavior
▪ Topology optimization
SUSTAINABLE MANUFACTURING SOLUTIONS
This project has received funding from the Research Fund for Coal and Steel under grant agreement No 888153. The authors also
acknowledge the financial support of the Portuguese Foundation for Science and Technology (FCT) under the project PTDC/EME-
APL/29713/2017 by UE/FEDER through the programs CENTRO 2020 and COMPETE 2020, and UID/EMS/00481/2013-FCT under
CENTRO-01-0145-FEDER-022083. M. Gonçalves is grateful to the FCT for the Ph.D. grant Ref. UI/BD/151257/2021.
Thank you!
Any questions?
Acknowledgments
SUSTAINABLE MANUFACTURING SOLUTIONS
A nonlinear topology-based optimization approach for
the design of a heterogeneous mechanical test
Mafalda Gonçalves, Sandrine Thuillier and António Andrade-Campos
Centre for Mechanical Technology and Automation, Department of Mechanical Engineering, University of Aveiro, Portugal
Univ. Bretagne Sud, UMR CNRS 6027, IRDL, F-56100 Lorient, France
1
2
TEchMA 2022 - 5th International Conference on Technologies for the Wellbeing and Sustainable Manufacturing solutions
SUSTAINABLE MANUFACTURING SOLUTIONS

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A nonlinear topology-based optimization approach for the design of a heterogeneous mechanical test