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Computational analysis of liquid crystalline elastomer membranes: Changing Gaussian curvature without stretch energy

Cirak, F. and Long, Q. and Bhattacharya, K. and Warner, M. (2014) Computational analysis of liquid crystalline elastomer membranes: Changing Gaussian curvature without stretch energy. International Journal of Solids and Structures, 51 (1). pp. 144-153. ISSN 0020-7683. http://resolver.caltech.edu/CaltechAUTHORS:20140102-152736248

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Abstract

Liquid crystalline elastomers (LCEs) can undergo extremely large reversible shape changes when exposed to external stimuli, such as mechanical deformations, heating or illumination. The deformation of LCEs result from a combination of directional reorientation of the nematic director and entropic elasticity. In this paper, we study the energetics of initially flat, thin LCE membranes by stress driven reorientation of the nematic director. The energy functional used in the variational formulation includes contributions depending on the deformation gradient and the second gradient of the deformation. The deformation gradient models the in-plane stretching of the membrane. The second gradient regularises the non-convex membrane energy functional so that infinitely fine in-plane microstructures and infinitely fine out-of-plane membrane wrinkling are penalised. For a specific example, our computational results show that a non-developable surface can be generated from an initially flat sheet at cost of only energy terms resulting from the second gradients. That is, Gaussian curvature can be generated in LCE membranes without the cost of stretch energy in contrast to conventional materials.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1016/j.ijsolstr.2013.09.019DOIArticle
http://www.sciencedirect.com/science/article/pii/S0020768313003740PublisherArticle
ORCID:
AuthorORCID
Bhattacharya, K.0000-0003-2908-5469
Additional Information:© 2013 Elsevier Ltd. Received 17 December 2012. Received in revised form 16 August 2013. Available online 8 October 2013.
Subject Keywords:Liquid crystalline elastomer; Nematic elastomer; Soft material; Non-developable surface; Finite elements
Record Number:CaltechAUTHORS:20140102-152736248
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20140102-152736248
Official Citation:F. Cirak, Q. Long, K. Bhattacharya, M. Warner, Computational analysis of liquid crystalline elastomer membranes: Changing Gaussian curvature without stretch energy, International Journal of Solids and Structures, Volume 51, Issue 1, 1 January 2014, Pages 144-153, ISSN 0020-7683, http://dx.doi.org/10.1016/j.ijsolstr.2013.09.019. (http://www.sciencedirect.com/science/article/pii/S0020768313003740)
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:43186
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:02 Jan 2014 23:42
Last Modified:25 Aug 2015 20:56

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