For metals there is a relation between structure mechanical properties and long time fatigue properties. For glass the structure is amorph and there are some scale effect depending on sample size.
What mechanism is behind cycling behaviour of thin glass filaments (100-1000nm)?
Ana relation between mechnical properties and cycling curve?
Edit:
Application example is a glass coated metal wire, which is mechanically bend for some 100k-10 Mio times. Metal core could be Au, Ag or Cu, glass could be quartz or borosilicate or alumosilicate. Glass thicknes around 2-10µm.
Making an analogy with metals, fatigue in glass coould be due to crystalline inclusions formed during cycling that would lead to brittleness, an x-ray diffractogram or better, a Raman spectrum could confirm the structural changes, hope it is useful
The analysis of a circular cylinder/dome can be done in ANSYS, as shown by the following video: https://www.youtube.com/watch?v=ZLf2VET_FnU&list=UUz2iogh6nREFWmKHswDKIUA
Along the lines of Caballero-Briones suggestion, I assume that you are not heating the glass to temperatures which could promote devitrification or the growth of separate crystalline phases? (Quartz is a good example of this.) While I can't help more, what type of glass and what type of cycling? May help someone else to provide a better answer. As an afterthought, mechanical fatigue is studied by optical fiber researchers. Generally thicker fibers, but may be of some help.
Thanks Bruce, I will add an expalanation of the problem in the inital question.
For thicker fibers I think in bending it's opposite, if mechanical elongation is given (external force is not influenced by fiber strength).
As suggested by Carl, such a behaviour can be described by FEM technique. In case of fibre bending even simpler mehtod give sufficient data to find out the critical elongation/strain.
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