Research Papers

Enhanced Compressive Sensing of Dielectric Elastomer Sensor Using a Novel Structure

[+] Author and Article Information
Junjie Liu, Guoyong Mao, Xiaoqiang Huang

Department of Engineering Mechanics,
Zhejiang University,
Hangzhou 310027, China
Soft Matter Research Center (SMRC),
Zhejiang University,
Hangzhou 310027, China

Zhanan Zou

Department of Mechanical Engineering,
University of Colorado,
Boulder, CO 80309

Shaoxing Qu

Department of Engineering Mechanics,
Zhejiang University,
Hangzhou 310027, China
Soft Matter Research Center (SMRC),
Zhejiang University,
Hangzhou 310027, China
e-mail: squ@zju.edu.cn

1Corresponding author.

Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received May 6, 2015; final manuscript received June 19, 2015; published online July 10, 2015. Editor: Yonggang Huang.

J. Appl. Mech 82(10), 101004 (Jul 10, 2015) (6 pages) Paper No: JAM-15-1226; doi: 10.1115/1.4030889 History: Received May 06, 2015

Dielectric elastomer (DE) can undergo large deformation when subjected to external forces or voltage, leading to the variation of the capacitance. A novel DE sensor is proposed to detect compressive force. This sensor consists of a series of elements made of DE membrane with out-of-plane deformation. Each element experiences highly inhomogeneous large deformation to obtain high sensitivity. Both experimental and theoretical studies are conducted to optimize the performance of the sensor element, and the effects of the prestretches and the aspect ratios on the sensitivity are achieved. Results from the theoretical analysis based on continuum mechanics agree well with the experimental data. Furthermore, the reliability of the sensor element is illustrated by additional experimental investigation on the operation after 2000 cyclic loadings. This study provides guidance for the design and performance analysis of soft sensors.

Copyright © 2015 by ASME
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Holger, B. , and Eric, F. , 2014, “Novel Dielectric Elastomer Sensors for Compression Load Detection,” Proc. SPIE, 9056, p. 905614.
Plante, J. S. , and Dubowsky, S. , 2006, “Large-Scale Failure Modes of Dielectric Elastomer Actuators,” Int. J. Solids Struct., 43(25–26), pp. 7727–7751. [CrossRef]
Li, T. F. , Zou, Z. N. , Mao, G. Y. , and Qu, S. X. , 2014, “Electromechanical Bistable Behavior of a Novel Dielectric Elastomer Actuator,” ASME J. Appl. Mech., 81(4), p. 041019. [CrossRef]
Koh, S. J. A. , Li, T. , Zhou, J. , Zhao, X. , Hong, W. , Zhu, J. , and Suo, Z. , 2011, “Mechanisms of Large Actuation Strain in Dielectric Elastomer,” J. Polym. Sci. B, 49(7), pp. 504–515. [CrossRef]
Carpi, F. , Chiarelli, P. , Mazzoldi, A. , and De Rossi, D. , 2003, “Electromechanical Characterization of Dielectric Elastomer Planar Actuators: Comparative Evaluation of Different Electrode Materials and Different Counter Loads,” Sens. Actuators, A, 107(1), pp. 85–95. [CrossRef]
Koh, S. J. A. , Zhao, X. H. , and Suo, Z. G. , 2009, “Maximal Energy That Can Be Converted by a Dielectric Elastomer Generator,” Appl. Phys. Lett., 94(26), p. 262902. [CrossRef]
Mckay, T. G. , O'Brien, B. M. , Calius, E. P. , and Anderson, I. A. , 2011, “Soft Generators Using Dielectric Elastomers,” Appl. Phys. Lett., 98(14), p. 142903. [CrossRef]
Heydt, R. , Kornbluh, R. , Pelrine, R. , and Mason, V. , 1998, “Design and Performance of an Electrostrictive-Polymer-Film Acoustic Actuator,” J. Sound. Vib., 215(2), pp. 297–311. [CrossRef]
Pelrine, R. , Kornbluh, R. , Pei, Q. , and Joseph, J. , 2000, “High-Speed Electrically Actuated Elastomers With Strain Greater Than 100%,” Science, 287(5454), pp. 836–839. [CrossRef] [PubMed]
Brochu, P. , and Pei, Q. B. , 2010, “Advances in Dielectric Elastomers for Actuators and Artificial Muscles,” Macromol. Rapid Commun., 31(1), pp. 10–36. [CrossRef] [PubMed]
Kofod, G. , Sommer-Larsen, P. , Kornbluh, R. , and Pelrine, R. , 2003, “Actuation Response of Polyacrylate Dielectric Elastomers,” J. Intell. Mater. Syst. Struct., 14(12), pp. 787–793. [CrossRef]
Huang, J. , Li, T. , Chiang Foo, C. , Zhu, J. , Clarke, D. R. , and Suo, Z. , 2012, “Giant, Voltage-Actuated Deformation of a Dielectric Elastomer Under Dead Load,” Appl. Phys. Lett., 100(4), p. 041911. [CrossRef]
Carpi, F. , De Rossi, D. , and Kornbluh, R. , 2008, Dielectric Elastomer as Electromechanical Transducers: Fundamentals, Materials, Devices, Models and Applications of an Emerging Electroactive Polymer Technology, Elsevier, Oxford, UK.
Pelrine, R. , Kornbluh, R. , and Kofod, G. , 2000, “High-Strain Actuator Materials Based on Dielectric Elastomers,” Adv. Mater., 12(16), pp. 1223–1225. [CrossRef]
He, T. , Zhao, X. , and Suo, Z. , 2009, “Dielectric Elastomer Membranes Undergoing Inhomogeneous Deformation,” J. Appl. Phys., 106(8), p. 083522. [CrossRef]
Rosenthal, M. , Bonwit, N. , Duncheon, C. , and Heim, J. , 2007, “Applications of Dielectric Elastomer EPAM Sensors,” Proc. SPIE, 6524, p. 65241F.
Takashi, K. , Masanori, M. , Hidetoshi, S. , Tsutomu, O. , Tomoaki, F. , Shuichi, S. , and Jun, M. , 2011, “Simple and Low-Cost Fabrication of Flexible Capacitive Tactile Sensors,” Jpn. J. Appl. Phys., 50(1R), p. 016502. [CrossRef]
An, L. , Wang, F. , Cheng, S. , Lu, T. , and Wang, J. , 2015, “Experimental Investigation of the Electromechanical Phase Transition in a Dielectric Elastomer Tube,” Smart Mater. Struct., 24(3), p. 035006. [CrossRef]
Carpi, F. , and De Rossi, D. , 2005, “Electroactive Polymer-Based Devices for E-Textiles in Biomedicine,” IEEE Trans. Inform. Technol. Biomed., 9(3), pp. 295–318. [CrossRef]
Son, S. , and Goulbourne, N. C. , 2009, “Finite Deformations of Tubular Dielectric Elastomer Sensors,” J. Intell. Mater. Syst. Struct., 20(18), pp. 2187–2199. [CrossRef]
Kim, D. , Lee, C. H. , Kim, B. C. , Lee, D. H. , Lee, H. S. , Nguyen, C. T. , Kim, U. K. , Nguyen, T. D. , Moon, H. , Koo, J. C. , Nam, J. D. , and Choi, H. R. , 2013, “Six-Axis Capacitive Force/Torque Sensor Based on Dielectric Elastomer,” Proc. SPIE, 8687, p. 86872J.
Xu, D. , Mckay, T. G. , Michel, S. , and Anderson, I. A. , 2014, “Enabling Large Scale Capacitive Sensing for Dielectric Elastomers,” Proc. SPIE, 9056, p. 90561A.
Rosset, S. , O'Brien, B. M. , Gisby, T. , Xu, D. , Shea, H. R. , and Anderson, I. A. , “Self-Sensing Dielectric Elastomer Actuators in Closed-Loop Operation,” Smart Mater. Struct., 22(10), p. 104018. [CrossRef]
Gisby, T. A. , O'Brien, B. M. , and Anderson, I. A. , 2013, “Self-Sensing Feedback for Dielectric Elastomer Actuators,” Appl. Phys. Lett., 102(19), p. 193703. [CrossRef]
Jung, K. , Kim, K. J. , and Choi, H. R. , 2008, “A Self-Sensing Dielectric Elastomer Actuator,” Sens. Actuators, A, 143(2), pp. 343–351. [CrossRef]
Adkins, J. E. , and Rivlin, R. S. , 1952, “Large Elastic Deformation of Isotropic Materials. IX. The Deformation of Thin Shells,” Philos. Trans. R. Soc. London, Ser. A, 244(888), pp. 505–531. [CrossRef]
Tezduyar, T. E. , Wheeler, L. T. , and Graux, L. , 1987, “Finite Deformation of a Circular Elastic Membrane Containing a Concentric Rigid Inclusion,” Int. J. Non-Linear Mech., 22(1), pp. 61–72. [CrossRef]
Suo, Z. , 2010, “Theory of Dielectric Elastomers,” Acta Mech. Solida Sinica, 23(6), pp. 549–578. [CrossRef]
Gent, A. N. , 1996, “A New Constitutive Relation for Rubber,” Rubber Chem. Technol., 69(1), pp. 59–61. [CrossRef]
Mao, G. Y. , Li, T. F. , Zou, Z. N. , and Qu, S. X. , 2014, “Prestretch Effect on Snap-Through Instability of Short-Length Tubular Elastomer Balloons Under Inflation,” Int. J. Solids Struct., 51(11–12), pp. 2109–2115. [CrossRef]
Ogden, R. W. , Saccomandi, G. , and Sgura, I. , 2004, “Fitting Hyperelastic Models to Experimental Data,” Comput. Mech., 34(6), pp. 484–502. [CrossRef]
Vu-Cong, T. , Jean-Mistral, C. , and Sylvestre, A. , 2012, “Impact of the Mature of the Compliant Electrodes on the Dielectric Constant of Acrylic and Silicone Electroactive Polymers,” Smart Mater. Struct., 21(10), p. 105036. [CrossRef]


Grahic Jump Location
Fig. 2

The primary part of the sensor element: a silicone rubber membrane covered by carbon grease on both sides. A rigid disk is attached on its center to accommodate the weight. Two rigid rings sandwich the sensor element to keep its configuration. Tinfoil is used to connect the two electrodes to the capacitance meter.

Grahic Jump Location
Fig. 1

The schematic diagram of the components of the DE sensor. (a) The covering layer with cylindrical bar attached. (b) The membrane layer covered by electrodes on both sides. (c) The base layer with cylindrical hole.

Grahic Jump Location
Fig. 3

The cross section of the sensor element with three states. (a) Reference state: the outer radius of the sensor element without prestretch is R0. An arbitrary particle of the sensor element is indicated by the distance R away from the center. (b) Prestretched state: the outer radius of the sensor element is prestretched to (b). (c) Current state: the out-of-plane axisymmetric configuration of the deformed sensor element subjected to external force F. Coordinates (r, z) are adopted.

Grahic Jump Location
Fig. 4

The free-body diagrams of the sensor element describing the mechanical equilibrium of the configuration: (a) the deformed state and (b) half of the circular truncated cone. φ(R) is the tangential slope of the membrane with respect to the horizontal direction. s1 (R) and s2 (R) are the nominal stresses along the radial and circumferential directions of the membrane. θ denotes the angular position.

Grahic Jump Location
Fig. 5

The experimental results of the variation of capacitance versus load for the sensor element with (a) different prestretches of the sensor element are adopted while aspect ratio b/a is kept constant as 4, and (b) different aspect ratios are adopted while prestretch is held as λpre = 1.2. C0 is the capacitance of the sensor element without load.

Grahic Jump Location
Fig. 6

The comparison of the normalized capacitance versus load relationships of the sensor elements predicted by both the analytical model and experiment. Three prestretches and three aspect ratios are adopted.

Grahic Jump Location
Fig. 7

The capacitance versus time relationship of the sensor element (aspect ratio b/a = 4 with b = 20 mm, and λpre = 1.2) after 0, 500, 1000, and 2000 cycles under displacement-controlled cyclic loading



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