Abstract
This paper studies the limit behavior of fibrous materials which are composed of planar arrays of long elastic, perfectly plastic fibers site bonded or imbedded in a strengthless matrix. The upper and lower bound limit theorems are used to obtain equations for limit surfaces of representative structural elements of fibrous membranes in terms of the number, orientation and limit load of the constituent fibers. The effects of fiber orientation geometry. fiber yielding, fiber buckling and pullout of fibers from the remaining structure are included in the theory and illustrated with numerical examples. Experimental results consisting of uniaxial tensile tests of metal wire mats and non-woven fabrics are compared to analytical predictions.
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