Hi all,
Not every software that manage composite will do the work that you need, then be careful in distinguishing between sw (software) for designing, sw for manufacturing, sw for stress analysis.
Catia has a lot of tools and covers all aspects above related to composite, but their ability to solve your problem depends by the nature of your problem, of course.
For stress analysis the main issue is the draping of plies and the way your sw will manage them. For this task there exist specific tools usually not comprised in the sw package because they are targeted to those people involved with (very ) complicate geometries. And catia makes no exception, unless you have some adds-on like Composite Modeler for Catia, for example ( and the same holds for Cosmos). But if your component is relatively simple from geometric viewpoint and draping is simple, you can use the capabilities of the basic fem package of catia where you will use orthotropic properties for you materials and will create as many user coordinate systems for defining plies orientation as you need, in the same way as happens in a composite dept.
Be carefull in choosing correct material properties that you input, remember that in curved surfaces your draping will be different from what really happens since distorsion of materials ( mainly weft and warp of fabrics) are mathematically adjusted, decide what you expect as output from your calculation ( usually you should obtain results comparable with test otherwise fem analysis has little or no meaning).