A membrane model for elastic deflection of individual plant cell walls

Journal of Texture Studies

Volumn 29, Issue 6, 1998, Pages 645-667

  Davies, G C ^a   Hiller, S ^a   Bruce, D M ^a  

^a SILSOE RESEARCH INSTITUTE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

SOLANUM TUBEROSUM;

EID: 0032236340     PISSN: 00224901     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1745-4603.1998.tb00191.x     Document Type: Article

References (31)

1. ASHBY, M.F. 1992. Materials Selection in Mechanical Design. Permagon Press, Oxford.
2. BRETT, C. and WALDRON, K. 1996. Physiology and Biochemistry of Plant Cell Walls. 2nd Ed, Chapman & Hall, London.
3. BUTTERSACK, C. and BASLER, W. 1991. Hydraulic conductivity of cell walls in sugar-beet tissue. Plant Science 76, 229-237.
4. BYLSKI, D.I., KRIEWALL, T.J., AKKAS, N. and MELVIN, J.W. 1986. Mechanical behaviour of fetal dural mater under large deformation axial tension. J. Biomechanics 19, 19-26.
5. CHAPLAIN, M.A.J. and SLEEMAN, B.D. 1990. An application of membrane theory to tip morphogenesis in acetabularia. J. Theoretical Biology 146, 177-200.
6. CHRISTENSEN, R.M. and FENG, W.W. 1986. Nonlinear analysis of the inflation of an initially flat, circular, elastic disc. J. Rheology 30, 157-165.
7. DIETER, G.E. 1988. Mechanical Metallurgy. McGraw-Hill, London.
8. FAHN, A. 1967. Plant Anatomy. Permagon Press, Oxford.
9. FENG, W.W. and HSU, K.H. 1971. Indentation of a circular membrane. J. Applied Mechanics 38, 227-230.
10. GREEN, A.E. and ADKINS, J.E. 1960. Large Elastic Deformations. Clarendon Press, Oxford.
11. HETTIARATCHI, D.R.P. and O'CALLAGHAN, J.R. 1974. A membrane model of plant cell extension. J. Theoretical Biology 45, 459-465.
12. HETTIARATCHI, D.R.P. and O'CALLAGHAN, J.R. 1978. Structural mechanics of plant cells. J. Theoretical Biology 74, 235-257.
13. HILLER, S., BRUCE, D.M. and JERMONIMIDIS, G. 1996. A micropenetration technique for mechanical testing of plant cell walls. J. Texture Studies 27, 559-587.
14. HUSKEN, D., STEUDLE, E. and ZIMMERMANN, U. 1978. Pressure probe technique for measuring water relations of cells in higher plants. Plant Physiology 61, 158-163.
15. KRIEWALL, T.J., AKKAS, N., BYLSKI, D.I., MELVIN, J.W. and WORK, B.A. 1983. Mechanical behaviour of fetal dural mater under large axisymmetric inflation. J. Biomechanical Engineering 105, 71-76.
16. MCCANN, M. and ROBERTS, K. 1994. Changes in cell wall architecture during cell elongation. J. Experimental Botany 45, 1683-1691.
17. MCCANN, M., WELLS, B. and ROBERTS, K. 1994. Direct visualisation of cross-links in the primary plant cell wall. J. Cell Science 96, 323-334.
18. MCCANN, M., ROBERTS, K., WILSON, R.H., GIDLEY, M.J., GIBEAUT, D.M., KIM, J.-B. and CARPITA, N.C. 1995. Old and new ways to probe plant cell wall architecture. Canadian J. Bot. 73 (Suppl. 1: Special Issue), S103-S113.
19. MCCOY, E.L. 1989. The strain-energy function in axial plant cell growth. J. Mathematical Biology 27, 575-594.
20. MURPHY, J.G. 1997. A family of solutions describing spherical indentation in finite, compressible elasticity. Quarterly J. Mechanics and Applied Mathematics 50, 35-45.
21. RIVLIN, R.S. and THOMAS, A.G. 1951. Large elastic deformations of isotropic materials VIII. Strain distribution around a hole in a sheet. Phil. Trans. R. Soc. Lond. A, 243, 289-298.
22. RIVLIN, R.S. 1948a. Large elastic deformations of isotropic materials I. Fundamental concepts. Phil. Trans. R. Soc. Lond. A 240, 459-490.
23. RIVLIN, R.S. 1948b. Large elastic deformations of isotropic materials II. Some uniqueness theorems for pure, homogeneous deformation. Phil. Trans. R. Soc. Lond. A 240, 491-508.
24. RIVLIN, R.S. 1948c. Large elastic deformations of isotropic materials IV. Further developments of the general theory. Phil. Trans. R. Soc. Lond. A 241, 379-397.
25. ROBERTS, K. 1994. The plant extracellular matrix: in a new expansive mood. Current Opinion in Cell Biology 6, 688-694.
26. ROST, T.L., BARBOUR, M.G., THORNTON, R.M., WEIER, T.E. and STOCKING, C.R. 1984. Botany. A Brief Introduction to Plant Biology. 2nd Ed., John Wiley & Sons, New York.
27. STEUDLE, E. and BOYER, J.S. 1985. Hydraulic resistance to radial water flow in growing hypocotyle of soybean measured by a new pressure-perfusion technique. Planta 164, 189-200.
28. WALDRON, K. 1997. Private communication.
29. WINEMAN, A. 1976. Large axisymmetric inflation of a nonlinear viscoelastic membrane by lateral pressure. Trans. Soc. Rheology 20, 203-225.
30. YANG, W.H. and FENG, W.W. 1970. On axisymmetric deformations of nonlinear membranes. J. Applied Mechanics 37, 1002-1011.
31. YOUNG, W.C. 1989. Roark's Formulas for Stress and Strain. McGraw-Hill, New York.