Roof Tiles and Roof Tile Structures and Methods of Making Same

A roof tile, a plurality of which can provide a weather membrane for a roof structure comprising;

• a foam core member comprising a plurality of surfaces including an upper surface and a spaced-apart lower surface bounded by a first lateral edge surface and an opposing spaced-apart second lateral edge surface and a first end surface and a spaced-apart second end surface;
• a coating of cement-based material over one or more of the foam core member surfaces including over the first end surface forming a first abutment member;
• and including over the second end surface forming a second abutment member;
• wherein the first abutment member and the second abutment member are so shaped that when one tile in a course abuts an adjacent tile in the same course, the adjacent abutment members engage one another, forming an overlapping, flexible connection whereby adjacent roof tiles in a course are able to change position relative to one another.