Mullen burst test is the standard fabric test for burst resistance.
Past that, you need to figure out what fabrics can stand the water and/or detergent exposure at the temperatures you are interested in. For instance, kevlar type para-aramids have extreme burst/penetration resistance, but very poor hydrolysis resistance, and thus kevlar vests and such have a limited number of wash cycles they are allowed before the vest must be discarded. Nomex, however, which is a meta-aramid, has very good hydrolysis resistance, but its chemical structure does not lend itself to forming fibers, and thus its burst strength is lower than kevlar.