DEVELOPMENT OF CONSTITUTIVE EQUATIONS BASED ON CONTINUUM DAMAGE MECHANICS FOR MAGNETOELASTIC MATERIALS

Continuum Damage Mechanics deals with engineering materials which undergo structural weakening as a result of micro-crack formation or void growth. The general expressions of constitutive equations for isotropic magnetoelastic damaged materials were derived from the basic laws of continuum damage mechanics. This mathematical model represents a magnetoelastic media which has micro-voids and subjected to a mechanical loading. Due to micro-void distribution, overall structure attains a strong anisotropy, despite the fact that the material is otherwise isotropic. In this context the body will respond by means of stress, magnetization and strain-energy density release rate. In the conclusion, constitutive response functions for the stress, magnetization and strain-energy density release rate have been obtained in material coordinates.