On the mechanical properties of hierarchical lattices

Article


Banerjee, Sourish. 2014. "On the mechanical properties of hierarchical lattices." Mechanics of Materials. 72, pp. 19-32. https://doi.org/10.1016/j.mechmat.2014.01.009
Article Title

On the mechanical properties of hierarchical lattices

ERA Journal ID4980
Article CategoryArticle
Authors
AuthorBanerjee, Sourish
Journal TitleMechanics of Materials
Journal Citation72, pp. 19-32
Number of Pages14
Year2014
Place of PublicationNetherlands
ISSN0167-6636
1872-7743
Digital Object Identifier (DOI)https://doi.org/10.1016/j.mechmat.2014.01.009
Web Address (URL)https://www.sciencedirect.com/science/article/pii/S0167663614000209
Abstract

Hierarchical lattices are made of finer lattices in successive smaller scales. This paper analytically studies the effect of hierarchy on the stiffness and strength of self-similar and hybrid type lattices, made by combining two distinct variants of topologies, governed by the bending and stretching dominated architectures. Scaling argument and physical reasoning are used to explain the behaviour of these lattices. The results show that the in-plane stiffness and the elastic buckling strength of the bending-bending lattices progressively improve with hierarchy; in contrast, only the buckling strength improves substantially for the stretching-stretching lattices, while the stiffness decreases. Low density bending-stretching lattices are unique with a significant improvement in stiffness, buckling, plastic collapse or crushing strength with hierarchy, whereas the stretching-bending lattices exhibit flexibility with lower strength. Despite no gain in stiffness, substantial gain in out-of-plane compressive strength is obtained with hierarchy because of the enhanced elastic and plastic buckling strength. Thus the advantage of combining lattices at multiple length scales provides a wide spectrum of choices for tailoring the properties for target applications including high performance core material, energy absorption or packaging.

Keywordshierarchy; multiscale; cellular; lattice; stiffness; strength
Contains Sensitive ContentDoes not contain sensitive content
ANZSRC Field of Research 2020401699. Materials engineering not elsewhere classified
490407. Mathematical logic, set theory, lattices and universal algebra
401707. Solid mechanics
Public Notes

Files associated with this item cannot be displayed due to copyright restrictions.

Byline AffiliationsCentre of Excellence in Engineered Fibre Composites
Institution of OriginUniversity of Southern Queensland
Permalink -

https://research.usq.edu.au/item/q25w1/on-the-mechanical-properties-of-hierarchical-lattices

  • 1718
    total views
  • 10
    total downloads
  • 1
    views this month
  • 1
    downloads this month

Export as

Related outputs

On the vibrational behavior of the conventional and hetero-junction carbon nanotubes
Ghavamian, Ali, Banerjee, Sourish, Rahmandoust, Moones and Öchsner, Andreas. 2024. "On the vibrational behavior of the conventional and hetero-junction carbon nanotubes." Materials Today Communications. 39. https://doi.org/10.1016/j.mtcomm.2024.108656
Bond behaviour of smooth surface GFRP pultruded profiles with cement grout
Abdullah Mamun, Ferdous, Wahid, Banerjee, Sourish and Manalo, Allan. 2024. "Bond behaviour of smooth surface GFRP pultruded profiles with cement grout." Case Studies in Construction Materials. 20. https://doi.org/10.1016/j.cscm.2024.e02891
Impact of Spectral Shift Quality (SSQ) on Fibre Optic Sensor Readings in Reinforced Concrete Beams
Udagedara, U. M. N., Herath, H. M. C. M., Henarachchi, N. K., Sooriyaarachchi, H. P., Banerjee, S. and Epaarachchi, J. A.. 2023. "Impact of Spectral Shift Quality (SSQ) on Fibre Optic Sensor Readings in Reinforced Concrete Beams." 14th International Workshop on Structural Health Monitoring. Stanford University, Stanford, CA 12 - 14 Sep 2023 United States. DEStech Publications, Inc.
An investigation of the use of embedded FBG sensors to measure temperature and strain inside a concrete beam during the curing period and strain measurements under operational loading
Fernando, C., Bernier, A., Banerjee, S., Kahandawa, G. and Eppaarchchi, J.. 2017. "An investigation of the use of embedded FBG sensors to measure temperature and strain inside a concrete beam during the curing period and strain measurements under operational loading." Chiu, Wing Kong, Galea, Steve, Mita, Akira and Takeda, Nobuo (ed.) 6th Asia Pacific Workshop on Structural Health Monitoring (APWSHM 2016). Hobart, Australia 07 - 09 Dec 2016 Netherlands. Elsevier. https://doi.org/10.1016/j.proeng.2017.04.500
An Investigation into the Use of Ultrasonic Wave Transmission Techniques to Evaluate Air Voids in Asphalt
Zargar, Majid, Banerjee, Sourish, Bullen, Frank and Ayers, Ron. 2018. "An Investigation into the Use of Ultrasonic Wave Transmission Techniques to Evaluate Air Voids in Asphalt." Pradhan, Biswajeet (ed.) 1st Global Civil Engineering Conference (GCEC 2017). Kuala Lumpur, Malaysia 26 - 28 Jul 2017 Singapore. https://doi.org/10.1007/978-981-10-8016-6_103
Fibre-reinforced polymer (FRP) repair systems for corroded steel pipelines
Sirimanna, C. S., Manalo, A. C., Karunasena, W., Banerjee, S. and McGarva, L.. 2015. "Fibre-reinforced polymer (FRP) repair systems for corroded steel pipelines." Karbhari, Vistasp M. (ed.) Rehabilitation of pipelines using fibre-reinforced polymer (FRP) composites. United Kingdom. Woodhead Publishing Limited. pp. 267-285
Challenges of teaching engineering analysis software to distance education students
Banerjee, Sourish, Karunasena, Warna and Kist, Alexander A.. 2016. "Challenges of teaching engineering analysis software to distance education students." Smith, Scott, Lim, Yee Yan, Bahadori, Alireza, Lake, Neal, Padilla, Ricardo Vasquez, Rose, Andrew and Doust, Ken (ed.) 27th Annual Conference of the Australasian Association for Engineering Education (AAEE 2016). Coffs Harbour, Australia 04 - 07 Dec 2016 Lismore, Australia.
Synthesis of graphene-based polymeric nanocomposites
Banerjee, S., Lee, J. H., Kuila, T. and Kim, N. H.. 2015. "Synthesis of graphene-based polymeric nanocomposites." Dong, Yu, Umer, Rehan and Lau, Alan Kin-Tak (ed.) Fillers and reinforcements for advancednanocomposites. United Kingdom. Woodhead Publishing Limited. pp. 133-155
Analysis of retrofitted corroded steel pipes using internally bonded FRP composite repair systems
Sirimanna, C. S., Banerjee, S., Karunasena, W., Manalo, A. C. and McGarva, L.. 2015. "Analysis of retrofitted corroded steel pipes using internally bonded FRP composite repair systems." Australian Journal of Structural Engineering. 16 (3), pp. 187-198. https://doi.org/10.1080/13287982.2015.1092681
Modeling of heat transfer in rotational molding
Banerjee, S., Yan, W. and Bhattacharyya, D.. 2008. "Modeling of heat transfer in rotational molding." Polymer Engineering and Science. 48 (11), pp. 2188-2197. https://doi.org/10.1002/pen.21164
Analysis of internal bonded fibre reinforced composite repair systems for corroded steel pipelines
Sirimanna, C. S., Karunasena, W., Manalo, A. C., Banerjee, S. and McGarva, L.. 2013. "Analysis of internal bonded fibre reinforced composite repair systems for corroded steel pipelines." Al-Mahaidi, Riadh, Zhao, Xiao-Ling, Smith, Scott T. and Bai, Yu (ed.) 4th Asia-Pacific Conference on FRP in Structures (APFIS 2013): Towards Sustainable Infrastructure with FRP Composites. Melbourne, Australia 11 - 13 Dec 2013 Melbourne, Australia.
Compressive behavior of fibre reinforced honeycomb cores
Rao, Sanjeev, Banerjee, Sourish, Jayaraman, Krishnan and Bhattacharyya, Debes. 2010. "Compressive behavior of fibre reinforced honeycomb cores." Dattaguru, B., Gopalakrishnan, S. and Aatre, K. (ed.) 2008 IUTAM Symposium on Multi-Functional Material Structures and Systems. Bangalore, India 10 - 12 Dec 2008 United States. https://doi.org/10.1007/978-90-481-3771-8_22
Shear strength optimization of reinforced honeycomb core materials
Banerjee, S., Battley, M. and Bhattacharyya, D.. 2010. "Shear strength optimization of reinforced honeycomb core materials." Mechanics of Advanced Materials and Structures. 17 (7), pp. 542-552. https://doi.org/10.1080/15376490903398714
Optimal design of sandwich panels made of wood veneer hollow cores
Banerjee, S. and Bhattacharyya, D.. 2011. "Optimal design of sandwich panels made of wood veneer hollow cores." Composites Science and Technology. 71 (4), pp. 425-432. https://doi.org/10.1016/j.compscitech.2010.12.011
Creep response of polymeric honeycombs
Banerjee, Sourish. 2011. "Creep response of polymeric honeycombs." Bhattacharyya, D., Lin, R. J. T. and Srivatsan, T. S. (ed.) 19th International Symposium on Processing and Fabrication of Advanced Materials (PFAM XIX). Auckland, New Zealand 14 - 17 Jan 2011 Auckland, New Zealand.