Elastic constants of 3-, 4- and 6-connected chiral and anti-chiral honeycombs subject to uniaxial in-plane loading
Finite element models are developed for the in-plane linear elastic constants of a family of honeycombs comprising arrays of cylinders connected by ligaments. Honeycombs having cylinders with 3, 4 and 6 ligaments attached to them are considered, with two possible configurations explored for each of...
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| Published in | Composites science and technology Vol. 70; no. 7; pp. 1042 - 1048 |
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| Main Authors | , , , , , , , , , |
| Format | Journal Article |
| Language | English |
| Published |
Kidlington
Elsevier Ltd
01.07.2010
Elsevier |
| Subjects | |
| Online Access | Get full text |
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| Abstract | Finite element models are developed for the in-plane linear elastic constants of a family of honeycombs comprising arrays of cylinders connected by ligaments. Honeycombs having cylinders with 3, 4 and 6 ligaments attached to them are considered, with two possible configurations explored for each of the 3- (trichiral and anti-trichiral) and 4- (tetrachiral and anti-tetrachiral) connected systems. Honeycombs for each configuration have been manufactured using rapid prototyping and subsequently characterised for mechanical properties through in-plane uniaxial loading to verify the models. An interesting consequence of the family of ‘chiral’ honeycombs presented here is the ability to produce negative Poisson’s ratio (auxetic) response. The deformation mechanisms responsible for auxetic functionality in such honeycombs are discussed. |
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| AbstractList | Finite element models are developed for the in-plane linear elastic constants of a family of honeycombs comprising arrays of cylinders connected by ligaments. Honeycombs having cylinders with 3, 4 and 6 ligaments attached to them are considered, with two possible configurations explored for each of the 3- (trichiral and anti-trichiral) and 4- (tetrachiral and anti-tetrachiral) connected systems. Honeycombs for each configuration have been manufactured using rapid prototyping and subsequently characterised for mechanical properties through in-plane uniaxial loading to verify the models. An interesting consequence of the family of 'chiral' honeycombs presented here is the ability to produce negative Poisson's ratio (auxetic) response. The deformation mechanisms responsible for auxetic functionality in such honeycombs are discussed. |
| Author | Evans, K.E. Grima, J.N. Zied, K. Gatt, R. Alderson, K.L. Alderson, A. Miller, W. Ravirala, N. Attard, D. Smith, C.W. |
| Author_xml | – sequence: 1 givenname: A. surname: Alderson fullname: Alderson, A. email: A.Alderson@bolton.ac.uk organization: Centre for Materials Research and Innovation, University of Bolton, Deane Road, Bolton BL3 5AB, UK – sequence: 2 givenname: K.L. surname: Alderson fullname: Alderson, K.L. organization: Centre for Materials Research and Innovation, University of Bolton, Deane Road, Bolton BL3 5AB, UK – sequence: 3 givenname: D. surname: Attard fullname: Attard, D. organization: Faculty of Science, University of Malta, Msida MSD 06, Malta – sequence: 4 givenname: K.E. surname: Evans fullname: Evans, K.E. organization: Department of Engineering, University of Exeter, Exeter EX4 4QF, UK – sequence: 5 givenname: R. surname: Gatt fullname: Gatt, R. organization: Faculty of Science, University of Malta, Msida MSD 06, Malta – sequence: 6 givenname: J.N. surname: Grima fullname: Grima, J.N. organization: Faculty of Science, University of Malta, Msida MSD 06, Malta – sequence: 7 givenname: W. surname: Miller fullname: Miller, W. organization: Department of Engineering, University of Exeter, Exeter EX4 4QF, UK – sequence: 8 givenname: N. surname: Ravirala fullname: Ravirala, N. organization: Centre for Materials Research and Innovation, University of Bolton, Deane Road, Bolton BL3 5AB, UK – sequence: 9 givenname: C.W. surname: Smith fullname: Smith, C.W. organization: Department of Engineering, University of Exeter, Exeter EX4 4QF, UK – sequence: 10 givenname: K. surname: Zied fullname: Zied, K. organization: Centre for Materials Research and Innovation, University of Bolton, Deane Road, Bolton BL3 5AB, UK |
| BackLink | http://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=22857788$$DView record in Pascal Francis |
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| CODEN | CSTCEH |
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| Keywords | B. Mechanical properties C. Finite element analysis (FEA) C. Deformation A. Smart materials C. Elastic properties Elastic constant Structure effect Nylon Mechanical properties Compressive strength Experimental study Modeling Finite element method Honeycomb structure Poisson ratio Rapid prototyping Numerical simulation |
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| References | Lakes (bib3) 1987; 235 Evans, Alderson (bib4) 2000; 12 Prall, Lakes (bib9) 1996; 39 Lakes (bib8) 1991; 26 Wojciechowski (bib10) 1989; 137 Messphysik videoextensometer package, Messphysik, Laborgerrite Ges. M.B.H., Fürstenfeill, Austria. Lew, Spadoni, Scarpa, Ruzzene (bib12) 2005; 5760 Gibson, Ashby (bib1) 1997 Hassan MR, Scarpa F, Mohammed NA, Ancrenaz Y. Conventional and auxetic SMA cellular structures. ASME Aerosp. Div. Publ. AD, 70 AD; 2005. p. 451–6. Evans, Nkansah, Hutchinson, Rogers (bib2) 1991; 353 Grima JN. New auxetic materials, PhD thesis, Exeter University; 2000. Scarpa, Burriesci, Smith, Chambers (bib6) 2003; 107 Alderson, Alderson (bib5) 2007; 221 Spadoni, Ruzzene, Scarpa (bib11) 2005; 242 |
| References_xml | – volume: 39 start-page: 305 year: 1996 end-page: 314 ident: bib9 article-title: Properties of a chiral honeycomb with Poisson’s ratio – 1 publication-title: Int J Mech Sci – volume: 353 start-page: 124 year: 1991 ident: bib2 article-title: Molecular network design publication-title: Nature – reference: Grima JN. New auxetic materials, PhD thesis, Exeter University; 2000. – volume: 221 start-page: 565 year: 2007 end-page: 575 ident: bib5 article-title: Auxetic materials publication-title: Proc Inst Mech Eng, Part G, J Aero Eng – volume: 107 start-page: 175 year: 2003 end-page: 183 ident: bib6 article-title: Mechanical and dielectric properties of auxetic honeycomb structures publication-title: Aeronaut J – reference: Messphysik videoextensometer package, Messphysik, Laborgerrite Ges. M.B.H., Fürstenfeill, Austria. – reference: Hassan MR, Scarpa F, Mohammed NA, Ancrenaz Y. Conventional and auxetic SMA cellular structures. ASME Aerosp. Div. Publ. AD, 70 AD; 2005. p. 451–6. – volume: 137 start-page: 60 year: 1989 end-page: 65 ident: bib10 article-title: Two-dimensional isotropic system with a negative Poisson ratio publication-title: Phys Lett A – volume: 235 start-page: 1038 year: 1987 end-page: 1040 ident: bib3 article-title: Foam structures with a negative Poisson’s ratio publication-title: Science – volume: 242 start-page: 695 year: 2005 end-page: 709 ident: bib11 article-title: Global and local linear buckling behaviour of a chiral cellular structure publication-title: Phys Status Solidi (b) – volume: 26 start-page: 2287 year: 1991 end-page: 2292 ident: bib8 article-title: Deformation mechanisms in negative Poisson ratio materials – structural aspects publication-title: J Mater Sci – volume: 5760 start-page: 559 year: 2005 end-page: 568 ident: bib12 article-title: Chiral hexagonal cellular sandwich structure: a vibroacoustic assessment publication-title: Proc SPIE – volume: 12 start-page: 617 year: 2000 end-page: 624 ident: bib4 article-title: Auxetic materials: functional materials and structures from lateral thinking! publication-title: Adv Mater – year: 1997 ident: bib1 article-title: Cellular solids, structure and properties |
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| SubjectTerms | A. Smart materials Applied sciences Arrays B. Mechanical properties C. Deformation C. Elastic properties C. Finite element analysis (FEA) Cylinders Elastic constants Exact sciences and technology Forms of application and semi-finished materials Honeycomb Honeycomb construction Ligaments Mathematical analysis Mechanical properties Miscellaneous Polymer industry, paints, wood Technology of polymers |
| Title | Elastic constants of 3-, 4- and 6-connected chiral and anti-chiral honeycombs subject to uniaxial in-plane loading |
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