Addressing the non-linearity and singularity phenomena of stress-based optimal design of material microstructures

Pedro G. Coelho, Gonçalo M. Gonçalves, José M. Guedes, João B. Cardoso

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Material design is an active research field since composites have met increasingly interest, for instance, in lightweight construction as it happens in aerospace industry. One assumes in the present work a given macroscopic stress or strain field (one that may occur at a certain point of a macro-structure) and computes through homogenization the micro-stress distribution across the two (weaker and stronger) composite constituents mixed in a unit-cell domain which is representative of a periodic heterogeneous material. Stress gradients depend a lot of design details but typically the stress field is highly non-linear. In the frame of finite element models for material microstructures one pursues here an investigation about mesh convergence. Since stress distribution is strongly design dependent, that motivates one to pursue optimal design of the material microstructure to comply with admissible stress criteria. The inverse homogenization method using density-based topology optimization is applied here for such purpose. This is quite a challenge not only because of the aforementioned non-linearity of the stress field but also due to the singularity phenomena which one overcomes using standard relaxation techniques. Some preliminary results are obtained in order to get some insight into the fine structure of composite materials and the influence of the stresses therein.

Original languageEnglish
Title of host publicationProceedings of the 7th International Conference on Coupled Problems in Science and Engineering, COUPLED PROBLEMS 2017
PublisherInternational Center for Numerical Methods in Engineering
Pages812-822
Number of pages11
Volume2017-January
ISBN (Electronic)9788494690921
Publication statusPublished - 2017
Event7th International Conference on Coupled Problems in Science and Engineering, COUPLED PROBLEMS 2017 - Rhodes Islad, Greece
Duration: 12 Jun 201714 Jun 2017

Conference

Conference7th International Conference on Coupled Problems in Science and Engineering, COUPLED PROBLEMS 2017
CountryGreece
CityRhodes Islad
Period12/06/1714/06/17

Fingerprint

Nonsingularity
Microstructure
Nonlinearity
Stress Distribution
Stress Field
Composite
Material Design
Homogenization Method
Heterogeneous Materials
Inverse Method
Stress concentration
Topology Optimization
Fine Structure
Composite materials
Composite Materials
Homogenization
Finite Element Model
Homogenization method
Aerospace industry
Shape optimization

Keywords

  • Homogenization
  • Microstructures
  • Optimization
  • Stress
  • Topology

Cite this

Coelho, P. G., Gonçalves, G. M., Guedes, J. M., & Cardoso, J. B. (2017). Addressing the non-linearity and singularity phenomena of stress-based optimal design of material microstructures. In Proceedings of the 7th International Conference on Coupled Problems in Science and Engineering, COUPLED PROBLEMS 2017 (Vol. 2017-January, pp. 812-822). International Center for Numerical Methods in Engineering.
Coelho, Pedro G. ; Gonçalves, Gonçalo M. ; Guedes, José M. ; Cardoso, João B. / Addressing the non-linearity and singularity phenomena of stress-based optimal design of material microstructures. Proceedings of the 7th International Conference on Coupled Problems in Science and Engineering, COUPLED PROBLEMS 2017. Vol. 2017-January International Center for Numerical Methods in Engineering, 2017. pp. 812-822
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Coelho, PG, Gonçalves, GM, Guedes, JM & Cardoso, JB 2017, Addressing the non-linearity and singularity phenomena of stress-based optimal design of material microstructures. in Proceedings of the 7th International Conference on Coupled Problems in Science and Engineering, COUPLED PROBLEMS 2017. vol. 2017-January, International Center for Numerical Methods in Engineering, pp. 812-822, 7th International Conference on Coupled Problems in Science and Engineering, COUPLED PROBLEMS 2017, Rhodes Islad, Greece, 12/06/17.

Addressing the non-linearity and singularity phenomena of stress-based optimal design of material microstructures. / Coelho, Pedro G.; Gonçalves, Gonçalo M.; Guedes, José M.; Cardoso, João B.

Proceedings of the 7th International Conference on Coupled Problems in Science and Engineering, COUPLED PROBLEMS 2017. Vol. 2017-January International Center for Numerical Methods in Engineering, 2017. p. 812-822.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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AU - Cardoso, João B.

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BT - Proceedings of the 7th International Conference on Coupled Problems in Science and Engineering, COUPLED PROBLEMS 2017

PB - International Center for Numerical Methods in Engineering

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Coelho PG, Gonçalves GM, Guedes JM, Cardoso JB. Addressing the non-linearity and singularity phenomena of stress-based optimal design of material microstructures. In Proceedings of the 7th International Conference on Coupled Problems in Science and Engineering, COUPLED PROBLEMS 2017. Vol. 2017-January. International Center for Numerical Methods in Engineering. 2017. p. 812-822