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When it comes to material stresses the sails can always be scaled down, but off the top of my head kevlar and zylon would be good candidates for getting the biggest, toughest sail in an economic fashion.
If you want to go down a related rabbit hole take a look at the sails used in regattas. The technology and money that goes into them is ridiculous.
Oh I know something about regattas, did some myself, and the base of one of America 's cup boats is nearby. Truly impressive.