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Design of novel heterogeneous
thermomechanical tests using topology-based
optimization methodologies
Mafalda Gonçalves, A. Gil Andrade-Campos, Sandrine Thuillier
mafalda.goncalves@ua.pt
Year of 1st registration: 2020 (Number of full-time equivalent years: 1 year)
PhD program: Doctoral Program in Mechanical Engineering
▪ Virtual manufacturing
▪ Need for reliable input data for numerical simulation
software
▪ Modelling of material behavior
▪ Standard tests - expensive and time-consuming
Research challenges
[1] T. Pottier, P. Vacher, F. Toussaint, H. Louche, and T. Coudert, Exp. Mech., vol. 52, no. 7, pp. 951–963, 2012.
[2] E. M. C. Jones et al., Comput. Mater. Sci., vol. 152, pp. 268–290, 2018.
[3] J. M. P. Martins, A. Andrade-Campos, and S. Thuillier, Int. J. Solids Struct., vol. 172–173, pp. 21–37, 201
[4] N. Souto, A. Andrade-Campos, and S. Thuillier, Int. J. Mater. Form., vol. 10, no. 3, pp. 353–367, 2017.
[5] L. Chamoin, C. Jailin, M. Diaz, and L. Quesada, Int. J. Solids Struct., vol. 193–194, pp. 270–286, 2020.
[6] B. Barroqueiro, A. Andrade-Campos, J. Dias-de-Oliveira, and R. A. F. Valente, Int. J. Mech. Sci., vol. 181, p. 105764, 2020.
[2] [3]
[1]
[4] [5] [6]
▪ Non-standard specimen designs
▪ Heterogeneous displacement and strain fields
▪ Higher quality and quantity of information about the
material behavior
▪ Reduced number of tests required
Heterogeneous mechanical tests
Research objectives and methodologies
❑ Design a suitable heterogeneous mechanical test able to
provide the largest number of strain states:
▪ Topology-based optimization methodologies
▪ Digital Image Correlation (DIC) to measure the
induced heterogeneous fields
❑ Non-linear behavior of sheets steels (plastic hardening
and anisotropy) in isothermal and heterogeneous
temperature conditions.
▪ Bi-level optimization problem:
▪ Test design by Topology Optimization (TO)
▪ Optimized loading conditions and geometrical parameters
▪ Elasticity framework
▪ Innovative specimen designs with highly heterogeneous
strain fields
Current state of the work
COMPLAS 2021 – XVI International Conference on Computational Plasticity. Fundamentals and Applications.
Experimental validation using
full-field DIC measurements.
Parameter identification.
Next steps
Extension of structural TO to
non-linear thermoelastoplasticity
and its application to specimen
design using mechanical indicators.
Application of synthetic
images as experiments
simulator in the design of the
test.
Test design led by the
sensitivity of the displacement
field to the model parameters.
VFM identification procedure.
Design of novel heterogeneous thermomechanical tests using topology based optimization methodologies

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Design of novel heterogeneous thermomechanical tests using topology based optimization methodologies

  • 1. Design of novel heterogeneous thermomechanical tests using topology-based optimization methodologies Mafalda Gonçalves, A. Gil Andrade-Campos, Sandrine Thuillier mafalda.goncalves@ua.pt Year of 1st registration: 2020 (Number of full-time equivalent years: 1 year) PhD program: Doctoral Program in Mechanical Engineering
  • 2. ▪ Virtual manufacturing ▪ Need for reliable input data for numerical simulation software ▪ Modelling of material behavior ▪ Standard tests - expensive and time-consuming Research challenges
  • 3. [1] T. Pottier, P. Vacher, F. Toussaint, H. Louche, and T. Coudert, Exp. Mech., vol. 52, no. 7, pp. 951–963, 2012. [2] E. M. C. Jones et al., Comput. Mater. Sci., vol. 152, pp. 268–290, 2018. [3] J. M. P. Martins, A. Andrade-Campos, and S. Thuillier, Int. J. Solids Struct., vol. 172–173, pp. 21–37, 201 [4] N. Souto, A. Andrade-Campos, and S. Thuillier, Int. J. Mater. Form., vol. 10, no. 3, pp. 353–367, 2017. [5] L. Chamoin, C. Jailin, M. Diaz, and L. Quesada, Int. J. Solids Struct., vol. 193–194, pp. 270–286, 2020. [6] B. Barroqueiro, A. Andrade-Campos, J. Dias-de-Oliveira, and R. A. F. Valente, Int. J. Mech. Sci., vol. 181, p. 105764, 2020. [2] [3] [1] [4] [5] [6] ▪ Non-standard specimen designs ▪ Heterogeneous displacement and strain fields ▪ Higher quality and quantity of information about the material behavior ▪ Reduced number of tests required Heterogeneous mechanical tests
  • 4. Research objectives and methodologies ❑ Design a suitable heterogeneous mechanical test able to provide the largest number of strain states: ▪ Topology-based optimization methodologies ▪ Digital Image Correlation (DIC) to measure the induced heterogeneous fields ❑ Non-linear behavior of sheets steels (plastic hardening and anisotropy) in isothermal and heterogeneous temperature conditions.
  • 5. ▪ Bi-level optimization problem: ▪ Test design by Topology Optimization (TO) ▪ Optimized loading conditions and geometrical parameters ▪ Elasticity framework ▪ Innovative specimen designs with highly heterogeneous strain fields Current state of the work COMPLAS 2021 – XVI International Conference on Computational Plasticity. Fundamentals and Applications.
  • 6. Experimental validation using full-field DIC measurements. Parameter identification. Next steps Extension of structural TO to non-linear thermoelastoplasticity and its application to specimen design using mechanical indicators. Application of synthetic images as experiments simulator in the design of the test. Test design led by the sensitivity of the displacement field to the model parameters. VFM identification procedure.