An article, including disposable articles and durable articles, includes one or more shaped thermoplastic members, which can be at least partially impregnated into one or more fibrous substrates forming a composite material of the article having regions of breathability, elasticity, and/or stiffening to provide desired functions of the article. The shaped thermoplastic members have a profiled thickness and/or basis weight providing variation in material properties. A percent variation of the profiled thickness of the thermoplastic member can vary from about 5% to about 95%. A process for manufacturing the composite material of the present invention is also disclosed.