Buckling, bending and penetration response of the Taraxacum officinalae (Dandelions) to macadam loading
Peter R. Greene A C and Virginia A. Greene BA B.G.K.T. Consulting Engineers, BioEngineering, Huntington, NY 11743, USA.
B VGA, Architect, PC, Chicago, IL 60604-2001, USA.
C Corresponding author. Email: prgreeneBGKT@gmail.com
Australian Journal of Botany 63(6) 512-516 https://doi.org/10.1071/BT15083
Submitted: 3 April 2015 Accepted: 12 June 2015 Published: 29 July 2015
Abstract
A multi-stemmed, multi-leaved dandelion plant (Taraxacum officinale) can lift an overhead weight of 2–3 N, sustaining this force for 3–4 weeks, which can cause yielding and cracking of a macadam surface. In the present report, Euler buckling theory was applied to experiments on flower stems and leaf stalks of the dandelion plant, allowing an estimate of the internal stresses, strains and Young’s modulus of the plant-tube wall, under unusual loading conditions imposed by overhead weight. Stalk buckling-strength scaled with length L as 1/L2, stalk bending scaled as L3. Young’s modulus for the leaf stalks and flower stems was measured at 3–14 MPa, compressive wall stress at buckling was 0.1–0.2 MPa, being comparable to the cell turgor pressure. Because the dandelion plant is a natural source of latex and grows in a wide variety of climates, one practical application of this work may be using stress to enhance growth rates. Theory and experiments agree with correlation | r | > 0.94 for bending and buckling.
Additional keywords: bending, buckling, cell turgor pressure, mechanosensing, plant mechanics, strain, stress, Young’s modulus.
References
Arnoldi M, Fritz M, Bauerlein E, Radmacher M, Sackmann E, Boulbitch A (2000) Bacterial turgor pressure can be measured by atomic force microscopy. Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics 62, 1034–1044.| Bacterial turgor pressure can be measured by atomic force microscopy.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BD3cXkvVegt7w%3D&md5=60961539b63abcaf3ffc067a27d14f20CAS |
Borau C, Kamm RD, Garcia-Aznar JM (2014) A time-dependent phenomenological model for cell mechanosensing. Biomechanics and Modeling in Mechanobiology 13, 451–462.
| A time-dependent phenomenological model for cell mechanosensing.Crossref | GoogleScholarGoogle Scholar | 23783520PubMed |
Cousins WJ (1978) Young’s modulus of hemicellulose as related to moisture content. Wood Science and Technology 12, 161–167.
| Young’s modulus of hemicellulose as related to moisture content.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DyaE1cXlvVWnsrw%3D&md5=b31fbe750dafa345a779db26418e103fCAS |
Coutand C, Chevolot M, Lacointe A, Rowe N, Scotti I (2010) Mechanosensing of stem bending and its inter-specific variability in five neo-tropical rainforest species. Annals of Botany 105, 341–347.
| Mechanosensing of stem bending and its inter-specific variability in five neo-tropical rainforest species.Crossref | GoogleScholarGoogle Scholar | 19995809PubMed |
Ennos AR, van Casteren A (2010) Transverse stresses and modes of failure in tree branches and other beams. Proceedings of the Royal Society of London. Series B, Biological Sciences 277, 1253–1258.
| Transverse stresses and modes of failure in tree branches and other beams.Crossref | GoogleScholarGoogle Scholar | 1:STN:280:DC%2BC3c7nsFymuw%3D%3D&md5=c2174a79bed02d8beeaf508f24d87d5aCAS |
Greene PR (1985) Constant strain increment for exponential tendons in the high stress limit. Journal of Biomechanical Engineering 107, 291
| Constant strain increment for exponential tendons in the high stress limit.Crossref | GoogleScholarGoogle Scholar | 1:STN:280:DyaL28%2Fht1Oktg%3D%3D&md5=359f33efd9aaae2c2cbd3c86538f07b7CAS | 4046570PubMed |
Iddles TL, Read J, Sanson GD (2003) The potential contribution of biomechanical properties to anti-herbivor defense in seedlings of six Australian rainforest trees. Australian Journal of Botany 51, 119–128.
| The potential contribution of biomechanical properties to anti-herbivor defense in seedlings of six Australian rainforest trees.Crossref | GoogleScholarGoogle Scholar |
Kutschera U (2008) The outer epidermal wall: design and physiological role of a composite structure. Annals of Botany 101, 615–621.
| The outer epidermal wall: design and physiological role of a composite structure.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BD1cXls1Citr0%3D&md5=85ffbe1da8a1127416728cdbad85b1f6CAS | 18258808PubMed |
Kutschera U, Niklas KJ (2013) Cell division and turgor-driven stem elongation in juvenile plants: a synthesis. Plant Science 207, 45–56.
| Cell division and turgor-driven stem elongation in juvenile plants: a synthesis.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BC3sXmtV2lur4%3D&md5=97205c5d9fc8ead54784dadc51b53770CAS | 23602098PubMed |
Martín-Molina A, Moreno-Flores S, Perez E, Pum D, Sleytr UB, Toca-Herrera JL (2006) Structure, surface interactions, and compressibility of bacterial S-layers through scanning force microscopy and the surface force apparatus. Biophysical Journal 90, 1821–1829.
| Structure, surface interactions, and compressibility of bacterial S-layers through scanning force microscopy and the surface force apparatus.Crossref | GoogleScholarGoogle Scholar | 16361337PubMed |
McMahon TA (1973) Size and shape in biology. Science 179, 1201–1204.
| Size and shape in biology.Crossref | GoogleScholarGoogle Scholar | 1:STN:280:DyaE3s7ivV2rsg%3D%3D&md5=13962f42b547273d8a28f5983f749249CAS |
McMahon TA, Kronauer RE (1976) Tree structures: deducing the principle of mechanical design. Journal of Theoretical Biology 59, 443–466.
| Tree structures: deducing the principle of mechanical design.Crossref | GoogleScholarGoogle Scholar | 1:STN:280:DyaE283ms1SnsQ%3D%3D&md5=94fde22989b97b73a2cfa6f3a3745005CAS | 957700PubMed |
Mees GC, Weatherley PE (1957) The mechanism of water absorption by roots. I. Preliminary studies on the effects of hydrostatic pressure gradients. Proceedings of the Royal Society of London. Series B, Biological Sciences 147, 367–380.
| The mechanism of water absorption by roots. I. Preliminary studies on the effects of hydrostatic pressure gradients.Crossref | GoogleScholarGoogle Scholar | 1:STN:280:DyaG1c%2FislKntQ%3D%3D&md5=a13b339cb832ae6e4ebb04689f3486dcCAS | 13484952PubMed |
Molina-Freaner F, Tinoco-Ojanguren C, Niklas KJ (1998) Stem biomechanics of three columnar cacti from the Sonoran Desert. American Journal of Botany 85, 1082–1090.
| Stem biomechanics of three columnar cacti from the Sonoran Desert.Crossref | GoogleScholarGoogle Scholar | 1:STN:280:DC%2BC3MnhslWmsQ%3D%3D&md5=5611d54cbb8ef5e6f36076998c85092eCAS | 21684993PubMed |
Niklas KJ, Paolillo DJ (1998) Preferential states of longitudinal tension in the outer tissues of Taraxacum officinale (Asteraceae) peduncles. American Journal of Botany 85, 1068–1081.
| Preferential states of longitudinal tension in the outer tissues of Taraxacum officinale (Asteraceae) peduncles.Crossref | GoogleScholarGoogle Scholar | 1:STN:280:DC%2BC3MnhslWmsA%3D%3D&md5=77cab1301a224dfa1a91a48ad7801f42CAS |
Pickett-Heaps JD, Klein AG (1998) Tip growth in plant cells may be amoeboid and not generated by turgor pressure. Proceedings. Biological Sciences 265, 1453–1459.
| Tip growth in plant cells may be amoeboid and not generated by turgor pressure.Crossref | GoogleScholarGoogle Scholar |
Schopfer P (2006) Biomechanics of plant growth. American Journal of Botany 93, 1415–1425.
| Biomechanics of plant growth.Crossref | GoogleScholarGoogle Scholar | 21642088PubMed |
Timoshenko S, MacCullough GH (1949) ‘Elements of strength of materials.’ (D. van Nostrand Co.: Princeton, NJ)
Waghorn MJ, Watt MS (2013) Stand variation in Pinus radiata and its relationship with allometric scaling and critical buckling height. Annals of Botany 111, 675–680.
| Stand variation in Pinus radiata and its relationship with allometric scaling and critical buckling height.Crossref | GoogleScholarGoogle Scholar | 23388878PubMed |