Paws, pads and plants: The enhanced elasticity of cell-filled load-bearing structures

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 471, Issue 2178, 2015, Pages

  Mihai, L Angela ^a   Alayyash, Khulud ^a   Goriely, Alain ^b  

^a CARDIFF UNIVERSITY   (United Kingdom)

^b UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

Cellular structures; Constitutive behaviour; Elastic material; Finite elements; Large strain; Soft tissue

Indexed keywords

BEARING PADS; CELLS; CYTOLOGY; DEFORMATION; ELASTIC MODULI; ELASTICITY; FINITE ELEMENT METHOD; MOBILE SECURITY; STRAIN ENERGY;

CELLULAR STRUCTURE; CONSTITUTIVE BEHAVIOUR; ELASTIC MATERIALS; LARGE STRAINS; SOFT TISSUE;

STRUCTURAL DESIGN;

EID: 84930830402     PISSN: 13645021     EISSN: 14712946     Source Type: Journal    
DOI: 10.1098/rspa.2015.0107     Document Type: Article

References (29)

1. Weissengruber GE, Egger GF, Hutchinson JR, Groenewald HB, Elsässer L, Famini D, Forstenpointner G. 2006 The structure of the cushions in the feet of African elephants (Loxodonta africana). J. Anat. 206, 781-792. (doi:10.1111/j.1469-7580.2006.00648.x)
2. Stover EL. 1951 An introduction to the anatomy of seed plants. Boston, MA: DC Heath and Co.
3. Alexander RMcN, Bennett MB, Ker RF. 1986 Mechanical properties and function of the paw pads of some mammals.J. Zool. Lond. A 209, 405-419. (doi:10.1111/j.1469-7998.1986.tb03601.x)
4. Clercq DD, Aerts P, Kunnen M. 1994 The mechanical characteristics of the human heel pad during foot strike in running: an in vivo cineradiographic study. J. Biomech. 27, 1213-1222. (doi:10.1016/0021-9290(94)90275-5)
5. Rome K. 1998 Mechanical properties of the heel pad: current theory and review of the literature. Foot 8, 179-185. (doi:10.1016/S0958-2592(98)90026-8)
6. Bennett MB, Ker RF. 1990 The mechanical properties of the human subcalcaneal fat pad in compression. J. Anat. 171, 131-138.
7. Napier J. 1993 Hands, revised edn. Princeton, NJ: Princeton University Press.
8. Jahss MH, Kummer F, Michelson JD. 1992 Investigations into the fat pads of the sole of the foot: heel pressure studies. Foot Ankle 131, 227-232. (doi:10.1177/107110079201300501)Kuhn J G: Changes in elastic.
9. Ker RF. 1999 The design of soft collageneous load-bearing tissues. J. Exp. Biol. 202, 3315-3324.
10. Ledoux WR, Blevins JJ. 2007 The compressive material properties of the plantar soft tissue. J. Biomech. 40, 2975-2981. (doi:10.1016/j.jbiomech.2007.02.009)
11. Miller-Young JE, Duncan NA, Baroud G. 2002 Material properties of the human calcaneal fat pad in compression: experiment and theory. J. Biomech. 35, 1523-1531. (doi:10.1016/S0021-9290(02)00090-8)
12. Natali AN, Fontanella CG, Carniel EL. 2012 A numerical model for investigating the mechanics of calcaneal fat pad region. J. Mech. Behav. Biomed. Mater. 5, 216-223. (doi:10.1016/j.jmbbm.2011.08.025)
13. rd edn. Berlin, Germany: Springer.
14. Mihai LA, Goriely A. 2011 Positive or negative Poynting effect? The role of adscititious inequalities in hyperelastic materials. Proc. R. Soc. A 467, 3633-3646. (doi:10.1098/rspa.2011.0281)
15. Mihai LA, Goriely A. 2014 Nonlinear Poisson effects in soft honeycombs. Proc. R. Soc. A 470, 20140363. (doi:10.1098/rspa.2014.0363)
16. Scanlon. MG 2005 Biogenic cellular solids. In Soft materials: structure and dynamics (eds JR Dutcher, AG Marangoni), pp. 321-349. New York, NY: Marcel Dekker.
17. Gibson LJ, Ashby MF, Harley BA. 2010 Cellular materials in nature and medicine. Cambridge, UK: Cambridge University Press.
18. Baskin TI, Jensen OE. 2013 On the role of stress anisotropy in the growth of stems. J. Exp. Bot. 64, 4697-4707. (doi:10.1093/jxb/ert176)
19. Rich PM. 1986 Mechanical architecture of arborescent rain forest palms. Principes 30, 117-131.
20. Vandiver R, Goriely A. 2008 Tissue tension and axial growth of cylindrical structures in plants and elastic tissues. Europhys. Lett. 84, 58004. (doi:10.1209/0295-5075/84/58004)
21. Warner M, Thiel BL, Donald AM. 2000 The elasticity and failure of fluid-filled cellular solids: theory and experiment.Proc. Natl Acad. Sci. USA 97, 1370-1375. (doi:10.1073/pnas.020501797)
22. nd edn. Cambridge, UK: Cambridge University Press.
23. Weaire D, Fortes MA. 1994 Stress and strain in liquid and solid foams. Adv. Phys. 43, 685-738. (doi:10.1080/00018739400101549)
24. nd edn. Oxford, UK: Oxford University Press.
25. nd edn. Oxford, UK: Clarendon Press.
26. nd edn. New York, NY: Dover.
27. Wells PNT, Liang H-D. 2011 Medical ultrasound: imaging of soft tissue strain and elasticity. J. R. Soc. Interface 8, 1521-1549. (doi:10.1098/rsif.2011.0054)
28. Maas SA, Ellis BJ, Ateshian GA, Weiss JA. 2012 FEBio: finite elements for biomechanics. J. Biomech. Eng. 134, 011005. (doi:10.1115/1.4005694)
29. Melnik AV, Borja Da Rocha H, Goriely A. In press. On the modeling of fiber dispersion in fiber-reinforced elastic materials. Int. J. Nonlinear Mech. (doi:10.1016/j.ijnonlinmec.2014.10.006)