This textbook is a modern introduction to micromechanics and its applications. It analyzes various continuum models of solids with evolving microstructure based on the first principles of mechanics and thermodynamics. The scope of the book fits well a one-year graduate course for engineers with basic knowledge in mechanics as well as calculus and elementary tensor analysis. For this circle of readers the emphasis is made on the material modelling and the constructive methods of solution. To help the students become more proficient, each chapter ends with exercises, of which some can be solved effectively by using the Mathematical. Difficult tasks are marked with an asterisk.