A constitutive model for nonhomogeneous nonlocal elastic materials

A two-component local/nonlocal constitutive model for nonhomogeneous nonlocal elastic materials is presented and discussed. Its thermodynamic characterization grounds on two conditions, to be met by the nonlocality energy residual, namely: the global insulation condition Üno energy is interchanged between the material and the exterior world; the pointwise locality recovery condition Üthe material behaves as a local one in any uniform strain state. Two distinctive features of the formulation reside in the usage of the strain diÞerence average, as an argument of the free energy potential, and of the equivalent distance, as argument of the attenuation function.