Nonuniform growth and topological defects in the shaping of elastic sheets

Soft Matter

Volumn 10, Issue 34, 2014, Pages 6382-6386

  Bende, Nakul P ^a   Hayward, Ryan C ^a   Santangelo, Christian D ^a  

^a UNIVERSITY OF MASSACHUSETTS   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ELASTICITY; TOPOLOGY;

DEVELOPABLE SURFACES; ELASTIC SHEETS; FLAT SURFACES; GAUSSIAN CURVATURES; OPTIMAL DESIGN; TOPOLOGICAL DEFECT; VOLTERRA;

SURFACE DEFECTS;

EID: 84905841440     PISSN: 1744683X     EISSN: 17446848     Source Type: Journal    
DOI: 10.1039/c4sm00845f     Document Type: Article

References (21)

1. Y. Klein E. Efrati E. Sharon Science 2007 315 1116
2. J. Kim J. Hanna M. Byun C. Santangelo R. Hayward Science 2012 335 1201
3. E. Sharon B. Roman M. Marder H. Swinney Nature 2002 419 579
4. M. Marder N. Papanicolaou J. Stat. Phys. 2006 125 1069
5. J. Dervaux M. B. Amar Phys. Rev. Lett. 2008 101 068101
6. M. Lewicka L. Mahadevan R. Pakzad Proc. R. Soc. London, Ser. A 2010 467 402
7. M. Müller M. B. Amar J. Guven Phys. Rev. Lett. 2008 101 156104
8. J. Guven J. A. Hanna M. M. O. Kahraman Eur. Phys. J. E 2013 36 106
9. H. Seung D. Nelson Phys. Rev. A 1988 38 1005
10. T. Nguyen R. Bruinsma W. Gelbart Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 2005 72 051923
11. T. Witten H. Li Europhys. Lett. 1993 23 51
12. R. Mashl R. Bruinsma Biophys. J. 1998 74 2862
13. I. Ovid'ko Rev. Adv. Mater. Sci. 2012 32 1
14. E. Yong D. Nelson L. Mahadevan Phys. Rev. Lett. 2013 111 177801
15. H.-Y. Liang L. Mahadevan Proc. Natl. Acad. Sci. U. S. A. 2011 108 5516 5521
16. V. Volterra Annales scientifiques de l'École normale supérieure 1907 24 401
17. J. Guven M. Müller J. Phys. A: Math. Theor. 2008 41 055203
18. E. Efrati E. Sharon R. Kupferman J. Mech. Phys. Solids 2009 57 762
19. M. Dias J. Hanna C. Santangelo Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 2011 84 036603
20. B. Chen C. Santangelo Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 2010 82 056601
21. D. Grave Crelle J. 1911 140 247