Actually, torque to yield method provides for more accurate and thus more even clamp load. Yes, torque worked for 50 years and is good but torque to yield is better for critical fasteners in an application.
joe_padavo hit it right on the head. I'll say it a slightly different way which hopefully someone understands it if they didn't already.
The overall goal of the fastener is to provide clamp load to the design. The more you torque the fastener (a screw is an inclined plane of the simple machines just wrapped around) the more it stretches (microscopically). The stretch is what provides the clamp load. You can't stretch it past the yield point of the material or it will permanently deform. If you stretch it up to the elastic limit of the material, the fastener will go back to its original length, think of it like a rubber band.
The bottom line is, you're really after the most accurate way to consistently get the same bolt stretch in an application. When the design is being set up, fasteners are ground parallel on each end for a bolt gauge to work. Those fasteners are used in a study that determines the torque and angle. The bolt gauge sends a wave in the bolt which goes to the other end and back up. Based on how long it takes is the length of the bolt and has a resolution of +/– 0.00001 inch. (
http://www.dakotaultrasonics.com/product/bolting-products-2/bolting-products/)
Consider a cylinder head, long, with multiple bolts in it. The goal is not just a tight clamp load, it's also even clamp load along the length of it so the gasket doesn't fail. So it's very critical to have even clamp load on the entire length. Notice I say clamp load, not torque. Torque relates to clamp load but that's the rest of the story......
If you take an application, torque the fastener you will get a certain amount of clamp load, let's say 100lbs of force.
Now, if you were to take a fastener and polish the threads smooth and put oil on it and then torque it with the same torque, the clamp load will be 150 pounds of force! Why? Because you changed the friction in the application. This is not optimal for a cylinder head for example. In the old days the clamp load across the cylinder head was very uneven, we just didn't know it.
Gasket technology has improved, which drove the need to increase the clamp load of the cylinder head. When the clamp load was increased, the application is more susceptible to the variation now. Friction is much less of a factor when the torque is low. But when you increase the torque, the effects of friction are a bigger factor right along with it. This is why the process always starts with a small torque value. Then it goes to angle. Why? Because angle can be accurately controlled. When you torque to an angle it has absolutely nothing to do with friction! But when you tighten by torque alone, the bolts that had more oil on them and the holes with smoother threads will have more clamp load.
How it works in the factory I worked at on engine cylinder heads is the machine would do the torque-angle-angle process, then the machine would measure the 'resultant' torque that it took to get it there. The resultant torque was in a wide window due to the factors of lubrication and thread quality. One time when the resultant torque was out of the window, the shop floor raised the flag. Engineering told them to ship the product. But manufacturing was flabbergasted! How can this be!? The clamp load was the same, the difference was the new bolt supplier had a slipperier coating on the bolts.
It's actually quite simple, I can explain if you have questions.....