Generation of 3D representative volume elements for heterogeneous materials: A review

Research output: Journal contributionsScientific review articlesResearch

Authors

  • Swantje Bargmann
  • Benjamin Klusemann
  • Konrad Schneider
  • C. Soyarslan
  • Jürgen Markmann
  • Jan Eike Schnabel
  • Jana Wilmers

This work reviews state of the art representative volume element (RVE) generation techniques for heterogeneous materials. To this end, we present a systematic classification considering a wide range of heterogeneous materials of engineering interest. Here, we divide heterogeneous solids into porous and non-porous media, with 0 < void volume fraction < 1 and void volume fraction = 0, respectively. Further subdivisions are realized based on various morphological features. The corresponding generation methods are classified into three categories: (i) experimental methods targeting reconstruction through experimental characterization of the microstructure, (ii) physics based methods targeting simulation of the physical process(es) responsible for the microstructure formation and evolution, and (iii) geometrical methods concentrating solely on mimicking the morphology (ignoring the physical basis of the microstructure formation process). These comprise of various mathematical tools such as digital image correlation, tessellation, random field generation, and differential equation solvers. For completeness, relevant up-to-date software tools, used at various stages of RVE generation – either commercial or open-source – are summarized. Considered methods are reviewed based on their efficiency and predictive performance with respect to geometrical and topological properties of the microstructures.

Original languageEnglish
JournalProgress in Materials Science
Volume96
Pages (from-to)322-384
Number of pages63
ISSN0079-6425
DOIs
Publication statusPublished - 01.07.2018

Bibliographical note

This work benefited from many fruitful discussions with co-workers and colleagues which is gratefully acknowledged. We gratefully acknowledge financial support from the German Research Foundation (DFG) via SFB 986 “M3”, projects A5, B6, and B8.

    Research areas

  • Engineering - Representative volume element, RVE generation, Microstructure, Polycrystal, Matrix-incluion composite, Nanocomposite, Metamaterial, Porous media, Lamellar, Fiber reinforced composite, Nanopous metal, open cell structure, closed cell structure, aggregate, agglomerate

Recently viewed

Publications

  1. Managing and accounting for corporate biodiversity contributions mapping the field
  2. Digital language teaching after COVID-19: what can we learn from the crisis?
  3. On walks in molecular graphs.
  4. Inherent and induced anisotropic finite visco-plasticity with applications to the forming of DC06 sheets
  5. Machine Vision and Navigation
  6. Managing Knowledge in Organization Studies Through Instrumentation
  7. Use of Chemotaxonomy To Study the Influence of Benzalkonium Chloride on Bacterial Populations in Biodegradation Testing
  8. Moving beyond unlearning unsustainable consumption
  9. Digital game culture(s) as prototype(s) of mediatization and commercialization of society
  10. New methods for in vivo degradation testing of future stent materials
  11. The u-shape on aging revisited
  12. Benno Reifenberg (1892-1970)
  13. Cyberpunk
  14. Identity without Membership?
  15. Intelligent software system for replacing a force sensor in the case of clearance measurement
  16. Sunspot equilibria in a monetary real business cycle model
  17. The Bali Convention: flexibility of targets and instruments inevitable
  18. Predator assemblage structure and temporal variability of species richness and abundance in forests of high tree diversity
  19. Moving Around Myanmar
  20. Fictions of the Possible
  21. Time matters
  22. Constitutions, Democratic Self-Determination and the Institutional Empowerment of Future Generations: Mitigating an Aporia
  23. Context, contexts and appropriateness
  24. y-Randomization and its variants in QSPR/QSAR
  25. Emerging pollutants: of old compounds and new ones, of micrograms and tonnes, from the past to the future
  26. New validated liquid chromatographic and chemometrics-assisted UV spectroscopic methods for the determination of two multicomponent cough mixtures in syrup.
  27. Modeling Self-Organization
  28. Navigating ambiguities