Stress-driven buckling patterns in spheroidal core/shell structures

Proceedings of the National Academy of Sciences of the United States of America

Volumn 105, Issue 49, 2008, Pages 19132-19135

  Yin, Jie ^a   Cao, Zexian ^b   Li, Chaorong ^c   Sheinman, Izhak ^a,d   Chen, Xi ^a  

^a Columbia University ^*  (United States)

^b INSTITUTE OF PHYSICS   (China)

^c ZHEJIANG SCI TECH UNIVERSITY   (China)

^d TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

Morphogenesis; Nonlinear mechanics; Pattern formation; Physical geometry

Indexed keywords

ARTICLE; CANTALOUPE; FRUIT (STRUCTURE); FRUIT MORPHOLOGY; MATHEMATICAL ANALYSIS; MELON; MORPHOGENESIS; PLANT MORPHOLOGY; PRIORITY JOURNAL; PUMPKIN; TOMATO; VEGETABLE;

CUCURBITACEAE; FRUIT; MODELS, BIOLOGICAL; MORPHOGENESIS; NONLINEAR DYNAMICS; STRESS, MECHANICAL; VEGETABLES;

CUCURBITA; LYCOPERSICON ESCULENTUM;

EID: 58049193042     PISSN: 00278424     EISSN: 10916490     Source Type: Journal    
DOI: 10.1073/pnas.0810443105     Document Type: Article

References (25)

1. Bowden N, Brittain S, Evans AG, Hutchinson JW, Whitesides GM (1998) Spontaneous formation of ordered structures in thin films of metals supported on an elastomeric polymer. Nature 393:146-149.
2. Li C, Zhang X, Cao Z (2005) Triangular and Fibonacci number patterns driven by stress on core/shell microstructures. Science 309:909-911.
3. Mahadevan L, Rica S (2005) Self-organized origami. Science 307:1740.
4. Stafford CM, et al. (2004) A buckling-based metrology for measuring the elastic moduli of polymeric thin films. Nat Mater 3:545-550.
5. Pocivavsek L, et al. (2008) Stress and fold localization in thin elastic membranes. Science 320:912-916.
6. Kim D-H, et al. (2008) Stretchable and foldable silicon integrated circuits. Science 320:507-511.
7. Yoo PJ, Suh KY, Park SY, Lee HH (2002) Physical self-assembly of microstructures by anisotropic buckling. Adv Mater 14:1383-1387.
8. Chen X, Hutchinson JW (2004) A family of herringbone patterns in thin films. Scripta Mater 50:797-801.
9. Huang ZY, Hong W, Suo Z (2005) Nonlinear analyses of wrinkles in films on soft elastic substrates. J Mech Phys Solids 53:2101-2118.
10. Shipman PD, Newell AC (2004) Phyllotactic patterns on plants. Phys Rev Lett 92:168102.
11. Green PB (1999) Expression of pattern in plants: Combining molecular and calculus-based biophysical paradigms. Am J Bot 86:1059-1076.
12. Dumais J, Steele CR (2000) New evidence for the role of mechanical forces in the shoot apical meristem. J Plant Growth Regul 19:7-18.
13. Cosgrove DJ (2005) Growth of the plant cell wall. Nat Rev Mol Cell Biol 6:850-861.
14. Dumais J (2007) Can mechanics control pattern formation in plants? Curr Opin Plant Biol 10:58-62.
15. Steele CR (2000) Shell stability related to pattern formation in plants. J Appl Mech 67:237-247.
16. Priestley JH (1928) The meristematic tissues of the plant. Ann Bot 3:1-20.
17. Cao G, Chen X, Li C, Ji A, Cao Z (2008) Self-assembled triangular and labyrinth buckling patterns of thin films on spherical substrates. Phys Rev Lett 100:036102.
18. Chen X, Hutchinson JW (2004) Herringbone buckling patterns of compressed thin films on compliant substrates. J Appl Mech 71:597-603.
19. Audoly B, Boudaoud A (2008) Buckling of a stiff film bound to a compliant substrate - Part I: Formulation, linear stability of cylindrical patterns, secondary bifurcations pattern. J Mech Phys Solids 56:2401-2421.
20. Audoly B, Boudaoud A (2008) Buckling of a stiff film bound to a compliant substrate - Part II: A global scenario for the formation of herringbone pattern. J Mech Phys Solids 56:2422-2443.
21. Bargel H, Neinhus C (2005) Tomato fruit growth and ripening as related to the biomechanical properties of fruit skin and isolated cuticle. J Exp Bot 56:1049-1060.
22. Nath U, Crawford BCW, Carpenter R, Coen E (2003) Genetic control of surface curvature. Science 299:1404-1407.
23. Fleming AJ, McQueen-Mason S, Mandel T, Kuhlemeier C (1997) Induction of leaf primordia by the cell wall protein expansin. Science 276:1415-1418.
24. Sharon E, Marder M, Swinney HL (2004) Leaves, flowers and garbage bags: Making waves. Am Sci 92:254-261.
25. Darwin F (1897) The Life and Letters of Charles Darwin: Including an Autobiographical Chapter (Appleton, New York).