Part of the International Centre for Mechanical Sciences book series (CISM, volume 59)
The basic mathematical theory of the problem of photoviscoelasticity was given by R. D. Mindlin  (1949) in his well-known paper “A Mathematical Theory of Photo-Viscoelasticity”. He considered the time dependent relations between three second rank tensors: birefringence, stress, and strain. His emphasis was mainly upon the conditions under which a viscoelastic model material could be used to deduce the elastic stress distribution in a prototype. Upon assuming elastic volume change he found that, if the material was incompressible.and the loading was proportional (i.e. no variation in the distribution pattern of the load but only a magnitude change with the time), that in the relations
the stress-optical and the strain-optical constants are viewed as time dependent operators characteristic of the material. The polarizing axes and the principal axes were aligned in this case.
KeywordsViscoelastic Material Shift Factor Relaxation Modulus Creep Compliance Viscoelastic Medium
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