An energy-based viscoelastic model for multi-physical systems: A Bond graph approach

Understanding the true nature of viscoelastic behaviors in multi-physical systems has always been a challenging issue in the system dynamic investigations, as each existing physical subdomain of the system may follow a different attenuation pattern during the dynamic process. In this study, to generate a viscoelastic model suitable for multi-physical domain dynamic investigations, a physical combined viscoelastic model is proposed. To this aim, by means of the Bond graph approach, the physical model of the embedded dispersive mechanisms of the conventional viscoelastic models is first generated. An energy-based combined viscoelastic model is then proposed by including the obtained dissipative mechanisms into the relative subdomains of an elastic domain. The obtained results indicate that the proposed energy-based viscoelastic model is able to capture a variety of viscoelastic behaviors in the system with respect to the true physical nature of the system.