Probabilistic analysis of a bimaterial disc

The joining of dissimilar materials occurs and is common to MEMS devices and other structures critical to everyday usage. The problem of a bimaterial interface is of particular interest for some of these applications, where in an effort to gain greater insight, an inverse problem methodology may be applied. Considering only the birefringent or photoelastic response of a bimaterial interface it is possible to define several inverse problems: (a) For known geometry and material properties determine the applied boundary loads; and, (b) for known geometry and applied boundary loads determine the material properties of all material components. This paper uses a bimaterial circular disk to explore these two inverse problems of interest.