I remember when we had to build roadblocks in basic training, using those giant coils of razor wire. We got extra thick gloves to pull them appart and did our best not to get stuck in them with all our equipment. Those things were pretty nasty because, unlike traditional barbed wire, the "razor blades" were very sharp and you got stuck easily. AFAIK the best solution, when you´re unable to cut through the wire, is to throw a wooden board over it. I´ve seen our infantry doing that, although it´s a bit tricky.
Here´s part of the check point we´ve built, showingthe entrance (the bunch of barrels down the road), the main lane and to the right the vehicle and people control "boxes". The coils have a height of around 40 to 50 cm and are probably enough to stop wheeled vehicles. Two of them at the bottom and one on top would be enough to be a serious PITA for heavier vehicles.
the first most effective way of dealing with barbed wire was with the tank. During the battle of Amiens in 1918, the allies did the most important breaktrough of WW1 thanks to new whippet and Mark V tanks. They drove trough barbed wire defenses like it was nothing, completly surprising german defenders.
I think nowadays it´s a bad idea to drive with a vehicle over concertina wire. A buddy of mine was a former "Panzergrenadier" (mechanized infantry) and he told me a story where the driver of his Marder accidently drove over a roll of concertina wire and had his tracks completely messed up by it, jerking the vehicle to a sudden halt. Apparently the poor driver spent the rest of the day removing bits and pieces of wire from the tracks.
We were also taught in basic training that 3 rolls of wire stacked together are an effective way of stopping even a MBT and especially together with AT mines make for good obstacles to funnel enemy vehicles into kill zones.
