Constitutive relation and electromechanical stability of compressible dielectric elastomer

Liwu Liu; Xiangfeng Liang; Kai Yang; Chunxia Wu; Zhongyu Liu; Shouhua Sun; Yanju Liu; Jinsong Leng

doi:10.1117/12.880314

28 March 2011 Constitutive relation and electromechanical stability of compressible dielectric elastomer

Liwu Liu, Xiangfeng Liang, Kai Yang, Chunxia Wu, Zhongyu Liu, Shouhua Sun, Yanju Liu, Jinsong Leng

Proceedings Volume 7976, Electroactive Polymer Actuators and Devices (EAPAD) 2011; 79761N (2011) https://doi.org/10.1117/12.880314
Event: SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, 2011, San Diego, California, United States

Abstract

The constitutive relation and electromechanical stability of Varga-Blatz-Ko-type compressible isotropic dielectric elastomer is investigated in this paper. Free-energy in any form, which consists of elastic strain energy and electric energy, can be applied to analyse the electromechanical stability of dielectric elastomer. The constitutive relation and stability is analyzed by applying a new kind of free energy model, which couples elastic strain energy, composed of Varga model as the volume conservative energy and Blatz-Ko model as the volume non-conservative energy, and electric field energy with constant permittivity. The ratio between principal planar stretches m(t₀) (λ₂ = m(t₀)λ₁), the ratio between thickness direction stretch and length direction stretch 0 n(t₀) (λ₃ = n(t₀)λ₁ ), and power exponent of the stretch k(t₀) are defined to characterize the mechanical loading process and compressible behavior of dielectric elastomer. Along with the increase of material parameters m(t₀) , n(t₀) , k(t₀) and poison ratioV , the nominal electric field peak is higher. This indicates that the dielectric elastomer electromechanical system is more stable. Inversely, with the increase of the material parameter α , the nominal electric field peak, critical area strain and the critical thickness strain increase, coupling system is more stable.

Citation Download Citation

Liwu Liu, Xiangfeng Liang, Kai Yang, Chunxia Wu, Zhongyu Liu, Shouhua Sun, Yanju Liu, and Jinsong Leng "Constitutive relation and electromechanical stability of compressible dielectric elastomer", Proc. SPIE 7976, Electroactive Polymer Actuators and Devices (EAPAD) 2011, 79761N (28 March 2011); https://doi.org/10.1117/12.880314

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available