Hierarchical honeycomb material design and optimization: Beyond linearized behavior

Autor: Christelle Combescure, Ryan S. Elliott
Přispěvatelé: Laboratoire de mécanique des solides (LMS), École polytechnique (X)-MINES ParisTech - École nationale supérieure des mines de Paris, Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS), Department of Aerospace Engineering and Mechanics [Minneapolis] (AEM), University of Minnesota [Twin Cities] (UMN), University of Minnesota System-University of Minnesota System
Rok vydání: 2017
Předmět:
Materials science
Elastic instability
Hierarchical honeycomb
Non-linear material properties
[SPI.MECA.MSMECA]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Materials and structures in mechanics [physics.class-ph]
02 engineering and technology
Plasticity
0203 mechanical engineering
Honeycomb
General Materials Science
Critical load
Resilience
Buckling
business.industry
Applied Mathematics
Mechanical Engineering
Mathematical analysis
Structural engineering
[SPI.MECA]Engineering Sciences [physics]/Mechanics [physics.med-ph]
021001 nanoscience & nanotechnology
Condensed Matter Physics
Honeycomb structure
Nonlinear system
020303 mechanical engineering & transports
Mechanics of Materials
Modeling and Simulation
Bifurcation
Resilience (materials science)
0210 nano-technology
Material properties
business
Stability
Zdroj: International Journal of Solids and Structures
International Journal of Solids and Structures, Elsevier, 2017, 115-116, pp.161-169. ⟨10.1016/j.ijsolstr.2017.03.011⟩
ISSN: 0020-7683
DOI: 10.1016/j.ijsolstr.2017.03.011
Popis: International audience; This paper explores the importance of nonlinear material properties in the design of hierarchical honeycomb materials. The recent literature on the design and optimization of linear material properties for hierarchical honeycombs is reviewed. Then a full nonlinear post-bifurcation numerical analysis is performed for five representative hierarchical honeycomb structures. Particular attention is paid to the following four nonlinear material properties: the critical load λ c at which the structure first experiences an instability; the plastic critical load λ p at which the onset of plasticity would occur (if no elastic instability occurred); the stable post-bifurcated structure of the honeycomb; and the purely elastic resilience of the nonlinear material. It is found that although the honeycomb's linear Young's modulus is optimally maximized at a hierarchy ratio of γ 1 ≈ 30%, the critical load is reduced by a factor of two (relative to the standard honeycomb) at this ratio. Further, the critical load displays a monotone decreasing trend with increasing hierarchy ratio. A similar trend is found for the plastic critical load. A non-monotone trend for the resilience is discovered and explained by a qualitative change in the stable post-bifurcated structure for the hierarchical honeycombs which occurs as the hierarchy ratio is increased. The observed loss of strength (decreased critical load) is significant and may negate any advantages of the increased Young's modulus. This result demonstrates the importance of considering nonlinear properties and their implications in the design and optimization of hierarchical materials.
Databáze: OpenAIRE
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