This book blends both innovative (large strain, strain rate, temperature, time dependent deformation and localized plastic deformation in crystalline solids, deformation of biological networks) and traditional (elastic theory of torsion, elastic beam and plate theories, contact mechanics) topics in a coherent theoretical framework. Extensive use of transform methods to generate solutions will make this book of interest to structural, mechanical, and aerospace engineers. Plasticity theories, micromechanics, crystal plasticity, and energetics of elastic systems are also covered, as well as an overall review of math and thermodynamics.