An armor panel for defeating a projectile strike including (a) a substantially planar core structure having spaced, generally parallel-planar strike and opposite faces, and elongate, circumsurrounding edge structure extending generally normally between these faces to define a perimeter for the core structure, (b) stranded core-wrap structure substantially fully enveloping the core structure, and possessing elongate, tension-load-bearing (TLB) strands which extend at angles relative to one another across the mentioned faces, and substantially parallel to one another in a distribution along the perimeter defined by the edge structure, and (c) a high-elastomeric coating which is distributed over at least those portions of the core-wrap structure which are disposed adjacent the strike face and the edge structure.