A self-supporting energy absorbing composite includes: i) a solid foamed synthetic polymer matrix; ii) a polymer-based dilatant, different from i) distributed through the matrix and incorporated therein during manufacture of i); and iii) a fluid distributed through the matrix. In another embodiment, a self-supporting energy absorbing composite includes: iv) a solid, closed cell foam matrix; v) a polymer-based dilatant, different from i), distributed through the matrix; and vi) a fluid distributed through the matrix. In both embodiments, the combination of matrix, dilatant and fluid is such that the composite is resiliently compressible.