Implicit constitutive relations for nonlinear magnetoelastic bodies

Implicit constitutive relations for nonlinear magnetoelastic bodies.

Implicit constitutive relations that characterize the response of elastic bodies have greatly enhanced the arsenal available at the disposal of the analyst working in the field of elasticity. This class of models were recently extended to describe electroelastic bodies by the present authors. In this paper, we extend the development of implicit constitutive relations to describe the behaviour o...

Implicit Constitutive Relations

Classical Constitutive equations like the Navier-Stokes model for fluids and the linearized elastic model for solids are explicit models in that they provide explicit expressions for the stress in terms of kinematical quantities. Similarly, the constitutive equation for a Simple Material is also an explicit equation for the stress in terms of the histories of the deformation gradient and the de...

Modelling of Reciprocal Transducer System Accounting for Nonlinear Constitutive Relations

The dynamics of reciprocal transducer systems is modelled accounting for a nonlinear constitutive relation between the electric displacement and the electric field as reported in Refs. [1, 2, 3] using an efficient nonlinear numerical scheme. The two transducers are assumed connected in series with a general electrical impedance. Particular emphasis is given to transmitter and receiver temporal ...

Nonlinear Electro- and Magnetoelastic Interactions

Influence of nonlinear constitutive relations in unimorphs piezoelectric harvesters

This paper presents the influence of nonlinear terms of a previously proposed constitutive piezoelectric equation on the dynamics of a cantilever aluminium beam with a piezoelectric unimorph PZT (MIDE QP16N) attached to it. The system is subjected to different levels of base acceleration with the intention to evidence the limits of the linear model. To carry out the analysis, a one-dimensional ...