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Phys. Rev. Lett. 92, 134302 (2004) [4 pages]

Photoinduced Deformations of Beams, Plates, and Films

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M. Warner*
Cavendish Laboratory, Madingley Road, Cambridge, CB3 0HE, United Kingdom

L. Mahadevan
Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, United Kingdom

Received 18 September 2003; published 2 April 2004

Photoresponsive solids such as nematic photoelastomers can undergo large deformations induced by light absorbed into rodlike molecules which bend and disrupt liquid crystal order. Significant variation of photoabsorption through the solid leads to nonuniform elastic deformations such as bending of beams and plates and pitting of layers. Such effects are also found in the presence of inhomogeneous thermal or swelling fields in solids or gels. We analyze the small deflection limit of these problems and show that beams made of these materials can have two elastically neutral planes, and that plates of these materials have a typical saddle shape. We also give a scaling analysis of the elasticity of photoinduced mounds and pits and speculate on their applications.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.92.134302
DOI:
10.1103/PhysRevLett.92.134302
PACS:
46.25.Hf, 46.70.De, 61.30.Gd, 78.20.Hp

*Electronic address: mw141@cam.ac.uk

Current address: Division of Engineering and Applied Sciences, Pierce Hall, Harvard University, 29 Oxford Street, Cambridge, MA 02138, USA.