An absorbent article, such as a diaper, sanitary napkin, adult incontinence device which has absorbent components comprised of blends of different types of fibers is provided. The absorbent components are arranged in structures that provide improved core integrity and liquid processing. The absorbent article preferably comprises a liquid pervious topsheet, a liquid impervious backsheet joined to the topsheet, an absorbent core positioned between the topsheet and the backsheet, and an acquisition layer overlying the absorbent core. The absorbent core comprises a blend of cellulosic fibers, absorbent gelling material, and fibers such as crimped synthetic fibers that form liquid stable bonds with adjacent layers. The acquisition layer also comprises at least some fibers that form liquid stable bonds with adjacent layers. The fibers that form liquid stable bonds in the absorbent core and the acquisition layer are bonded to liquid stable components. The liquid stable components can comprise the topsheet, the backsheet, and an optional intermediate liquid stable layer positioned between the acquisition layer and the absorbent core.