That...that is quite the problem. I don't think the designer of that character even considered how this poor girl got these things on in the first place considering they would never fit over her feet and appear to be slip on jewelry.
Clay is out the question because you need a clasp of sorts
I almost think your best bet would be a magnetic clasp of sorts that would allow for a solid appearance. Using this you could make the bracelet of nearly anything as long as you had magnets in the end that brought them together perfectly/uniformly. Also there are options in regards to already made magnetic bracelets you simply have to find one on the market that is the right shape/size/design.
A quick example is this http://www.pinkmascara.com/belle-noe..._ca mpaign=PM
or a list of possible things can be found by checking google shopping for "Magnetic bangle bracelet"