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Published on: April 25, 2019
Localization in an idealized heterogeneous elastic sheet
Bekele J Gurmessa1, Andrew B Croll1
1Department of Physics, North Dakota State University, Fargo, ND, USA. andrew.croll@ndsu.edu.
Heterogeneity in materials significantly impacts localized deformation. This study shows patterned elastic sheets exhibit distinct localized deformation compared to bulk regions, with outcomes tunable by pattern characteristics.
Area of Science:
- Materials Science
- Solid Mechanics
- Surface Science
Background:
- Localized deformation is critical in material failure, often studied using continuum models.
- Real materials are heterogeneous, but the effect of this heterogeneity on deformation is not fully understood.
Purpose of the Study:
- To investigate how surface heterogeneity influences localized deformation in elastic materials.
- To explore the relationship between pattern characteristics and material response under compression.
Main Methods:
- Fabrication of heterogeneous polydimethylsiloxane (PDMS) sheets using selective ultraviolet/ozone (UV/O3) treatment with a TEM grid.
- Tuning sample properties from continuous films to isolated plates by controlling UV/O3 exposure time.
- Uniaxial compression testing to observe deformation patterns.
Main Results:
- Patterned regions showed distinct localized deformation, while bulk regions exhibited uniform wrinkling.
- Local and global strains were found to depend on pattern pitch, UV/O3 exposure levels, and treatment protocol.
- Observed deformation behaviors could be modeled using existing theories by considering boundary distances and local strain.
Conclusions:
- Surface patterning is an effective method to control localized deformation in elastic materials.
- The study demonstrates that heterogeneity significantly alters material response to mechanical stress.
- Theoretical models can capture complex heterogeneous material behavior with simplified parameters.
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