A note on Pageau et al. (1994) results for the order of stress singularities in multimaterial junctions

Abstract

In 1994, Pageau, Joseph and Biggers Jr. evaluated “The order of stress singularities for bonded and disbonded three-material junctions”. Their work represented an important finding on multimaterial corners, since their formulation can be used to study the stress state on these junctions. Despite the relevance, the graphs of some results presented in their paper might lead to an improper interpretation, and consequently to a wrong asymptotic stress representation. This is evidenced and discussed in the present work, in which an analytical algorithm was implemented, allowing to reproduce, to complete and to clarify the original results. The physical interpretation of the divergences indicates, among other observations, that the failure mode associated with the highest stress singularity order in a multimaterial junction may change by only varying the Young’s modulus of one of the materials.