Look for the book:
Analysis and Performance of Fiber Composites
I agree that it is not the right procedure. You do, however, need to know the orientation of the fibers in the x and y directions and convert them, by means of a lot of matrix algebra and calculations, into the longitudinal and...
I would agree with you. ASTM 3039 is generally used for testing of polymer matrix composites. However, you may want to look into ASTM 256, IZOD impact test. It provides very useful data, in regards to energy absorption with a much less complex testing fixture.
Another impact test is the CHARPY...