NHTSA requires large trucks to be able to stop from 62 mph in 335 feet, or an average acceleration of -24 ft/s (-.74 g). I've heard trucks will start to tip at 0.3 to 0.5 g, so yes, braking puts more stress on pavement than turning.
Jorge, I suggest careful construction and proper tack coats between lifts to ensure your asphalt lifts adhere to each other, and perhaps a Superpave or Stone Matrix Asphalt to handle the loads. Hopefully a pavement maven will wander by and give more helpful advice than this traffic geek can supply. I've heard Superpave is tricky if you haven't worked with it before.
I did once see a wire mesh product that could be embedded in asphalt. The pavement Ph.D. I asked was doubtful.
As an aside, truck braking performance is an engineering problem, not a physics problem:
a = F/m = fN/m = fgm/m = fg
If you could get big enough brakes to dissipate the kinetic energy and tires sticky enough to avoid skidding, a fully loaded truck could stop like a Porsche. Of course, this assumes the driver could keep it from jack-knifing and rubber side down!
"...students of traffic are beginning to realize the false economy of mechanically controlled traffic, and hand work by trained officers will again prevail." - Wm. Phelps Eno, ca. 1928
"I'm searching for the questions, so my answers will make sense." - Stephen Brust