Racers use very thin, light, and stiff sails made from mylar or similar materials. They are typically very expensive and want to be changed as often as possible, at least once every racing season. Modern small pleasure yacht cruising sails "canvas" is laminated polyester, aka dacron, which is far thicker, more durable, springier, and more common than mylar.
It's an interesting question, where does the wear come from. But sails are a very active part of the boat; every tack is going to drag the sail across the deck of the boat, rub against fittings. When a sail luffs, head-to-wind it's whipping around with the weight of the sheets (control lines), and then when you're taking the sail down it's getting folded (best case) or stuffed into a bag (worst case) [EDIT: some sail materials like being shoved in a bag!]. And of course even when a sail is just sitting there powering the boat it's under a tremendous amount of force, which stretches it over time.
Sails do fail, and yes often by ripping in half. I've personally never heard of a sail failing at the control points (e.g. the tack of a jib), probably because those areas are heavily reinforced.
https://www.northsails.com/sailing/en/sails/materials
https://en.wikipedia.org/wiki/Sail