A wide range of materials and design concepts are now available for microsystems technologies that can softly interface with the human body. The physical properties of these systems – thin, lightweight construction and low modulus, elastic mechanics -- also enable direct integration onto compliant fabric substrates, as thin laminates. Results presented in this talk focus on the combined use of thin, ultralow modulus, cellular silicone materials with elastic, strain-limiting fabrics, to yield soft and flexible, but rugged, wearable platforms for stretchable electronics/microfluidics. Theoretical and experimental studies highlight the mechanics of adhesion and elastic deformation in these systems and provide design rules for engineering artificial fabric structures with optimized properties. Demonstration examples include wireless electronics for measuring hydration state, electrophysiological activity, motion and blood oximetry.