The grasses won't grow in shade.

Though the plants wouldn't be on the same scale as these, some examples of grass-like textured plants you could consider for a morning sun/lightly shaded area are Dietes iridioides, agapanthus, daylilies, and liriope, Pampas grass, which does grow very similarly to the plants in the photo, is said to tolerate part shade. The foliage is also quite sharp, so...
You should also consider what plant zone you're in--most of these would do best in zones 6 and up. For Dietes, zones 8 and up.