Abstract

AbstractWe consider a class of non‐dissipative materials whose constitutive equations are derived from a suitably constructed thermodynamic potential function. The Gibbs energy relation is introduced as a function of stress, strain, magnetic field, magnetization, and temperature. By minimization with respect to the chosen subset of independent variables we derive the corresponding set of constitutive equations. The chosen form of the free energy function leads to the linear elastic and nonlinear ferromagnetic coupling where non‐linearity emerges in terms associated with the strength of magnetization. (© 2015 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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