Capillarity with solids
Capillary phenomena occurring on soft solid interfaces are discussed over this lecture. The main goal is to show how a variational approach provides a deep understanding of the static effects coming from the self-capillarity of elastic solids. After an introduction, the general framework is introduced and then various situations are discussed. In each case, the physical phenomena are first briefly introduced, a theoretical analysis is presented, and then the predictions are compared with experiments when available. This lecture is intended as an introduction rather than as a comprehensive review. Demonstrations are simplified as much as possible thanks to physically relevant assumptions (symmetric problems, two-dimensional problems, etc.). The aim is to highlight the main physical ingredients. References are included throughout the text for readers desiring a more in-depth treatment.