An electroelastic constitutive model for dielectric elastomers based on the Langevin statistic and its instability characteristics

• Published in: Mechanics of advanced materials and structures Vol. 29; no. 25; pp. 4319 - 4328
• Main Author: Waluyo, Sugeng
• Format: Journal Article
• Language: English
• Published: Abingdon Taylor & Francis 12-10-2022; Taylor & Francis Ltd
• Subjects: Constitutive model; Constitutive models; dielectric elastomers; Elastomers; instability; Mathematical models; polymer chain; Stability; Stability analysis; Statistical analysis; The Langevin statistic
• ISSN: 1537-6494; 1537-6532
• DOI: 10.1080/15376494.2021.1928343

An electroelastic constitutive model for dielectric elastomers based on the Langevin statistic is proposed in this paper. We start by deriving the Gibbs energy for electroelastic processes to obtain the Langevin function representing statistical configuration of polymer chain segments. To make a closed-form solution possible, we use the average stretch given by the 8-chain model to express the proposed model for the evaluation of its instability characteristics. We find that our proposed model can capture well the experimental data from the homogeneous responses and the instability characteristics.