Introduction.- Micromechanical Models for Auxetic Materials.- Elasticity of Auxetic Solids.- Stress Concentration, Fracture and Damage in Auxetic Materials.- Contact and Indentation Mechanics of Auxetic Materials.- Auxetic Beams.- Auxetic Solids in Polar and Spherical Coordinates.- Thin Auxetic Plates and Shells.- Thermal Stresses in Auxetic Solids.- Elastic Stability of Auxetic Solids.- Vibration of Auxetic Solids.- Wave Propagation in Auxetic Solids.- Wave Transmission and Reflection involving Auxetic Solids.- Longitudinal Waves in Auxetic Solids.- Shear Deformation in Auxetic Solids.- Simple Semi-auxetic Solids.- Semi-auxetic Laminates and Auxetic Composites