Search is for finding art using keywords people have placed on the art page at upload.
So if you wish for the words in your name to be found, they need to be added to the images keywords.
Artists are found using the search for Artists in the Artist Directory http://fineartamerica.com/artistdirectory.html but only if they have a profile image attached to their account
There are five reasons images are not found in search
The keywords do not contain the actual word being searched for (including a name which should be searched for in the artists directory, not the art search)
The keywords have not been on the site for over 24 hours
The images have a safe filter on
The images are in password protected galleries
They are past the end page we show for any one search, which is 200
If iPhones on Pixels, you need to make sure they all have prices or they will not be for sale and will not show
If looking for yourself in the Artists Directory, you need to have had a profile image up for 24 hours or longer