Size and disorder effects in elasticity of cellular structures: From discrete models to continuum representations

Journal article
(Original article)


Publication Details

Author(s): Liebenstein S, Sandfeld S, Zaiser M
Journal: International Journal of Solids and Structures
Publisher: PERGAMON-ELSEVIER SCIENCE LTD
Publication year: 2018
Volume: 146
Pages range: 97-116
ISSN: 0020-7683


Abstract

Cellular solids usually possess random microstructures that may contain a characteristic length scale, such as the cell size. This gives rise to size dependent mechanical properties where large systems behave differently from small systems. Furthermore, these structures are often irregular, which not only affects the size dependent behavior but also leads to significant property variations among different microstructure realizations. The computational model for cellular microstructures is based on networks of Timoshenko beams. It is a computationally efficient approach allowing to obtain statistically representative averages from computing large numbers of realizations. For detailed analysis of the underlying deformation mechanisms an energetically consistent continuization method was developed which links the forces and displacements of discrete beam networks to equivalent spatially continuous stress and strain fields. This method is not only useful for evaluation and visualization purposes but also allows to perform ensemble averages of, e.g., continuous stress patterns - an analysis approach which is highly beneficial for comparisons and statistical analysis of microstructures with respect to different degrees of structural disorder. (c) 2018 Elsevier Ltd. All rights reserved.


FAU Authors / FAU Editors

Liebenstein, Stefan
Lehrstuhl für Werkstoffsimulation
Sandfeld, Stefan Dr.
Lehrstuhl für Werkstoffsimulation
Zaiser, Michael Prof. Dr.
Lehrstuhl für Werkstoffsimulation


How to cite

APA:
Liebenstein, S., Sandfeld, S., & Zaiser, M. (2018). Size and disorder effects in elasticity of cellular structures: From discrete models to continuum representations. International Journal of Solids and Structures, 146, 97-116. https://dx.doi.org/10.1016/j.ijsolstr.2018.03.023

MLA:
Liebenstein, Stefan, Stefan Sandfeld, and Michael Zaiser. "Size and disorder effects in elasticity of cellular structures: From discrete models to continuum representations." International Journal of Solids and Structures 146 (2018): 97-116.

BibTeX: 

Last updated on 2019-18-05 at 00:08