Evaluation of the incremental compliances of non-elliptical contacts by treating them as external cracks

Abstract The incremental normal compliance of a contact “irregular” (non-elliptical) shape between two elastic half spaces is considered. modeled as external crack. An approximate expression for the stress intensity factor (SIFs) around its boundary, in conjunction with Rice (1975) theorem that interrelates SIFs and crack compliances, are used to evaluate compliance. results cover broad class shapes, including – but not limited - all convex ones. Bounds, similar Hill's comparison micromechanics, formulated compliances contacts. cross-property elasticity-conductivity relation yields conductance. methodology illustrated on several examples.