node material property common

Hi,

I am having a conceptual doubt regarding the following case. Any suggestions are appreciated. We are here assuming linear elastic material.

 Let's say I have two bodies with different properties, and they share a common node (as in the attachment). However, I want to perform an analysis without any coupling or contact phenomena. Let's say thermal expansion of the bodies.So while doing the FEA analysis, I can assign the material properties in the element stiffness according to the body elements and solve.