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Predictive theories of phenomena involving phase change with applications in engineering are investigated in this volume, e.g. solid-liquid phase change, volume and surface damage, and phase change involving temperature discontinuities. Many other phase change phenomena such as solid-solid phase change in shape memory alloys and vapor-liquid phase change are also explored. Modeling is based on continuum thermo-mechanics. Introduction The State Quantities and the Quantities Describing the Evolution The Basic Laws of Mechanics Solid–Liquid Phase Change Shape Memory Alloys Damage Contact with Adhesion Damage of Solids Glued on One Another: Coupling of Volume and Surface Damages. Phase Change with Discontinuity of Temperature: Warm Water in Contact with Cold Ice Phase Change and Collisions Collisions of Deformable Bodies and Phase Change Phase Change Depending on a State Quantity: Liquid–Vapor Phase Change Clouds: Mixture of Air, Vapor and Liquid Water Conclusion A. Some Elements of Convex Analysis B. The Small Perturbation Assumption