This advanced text presents certain key aspects of inelastic solid mechanics centred around viscoelasticity, creep, viscoplasticity and plasticity. Divided into three parts consisting of the fundamentals of elasticity, useful constitutive laws and the applications to simple structural members, the book details the efficient conjunction of elastic and inelastic solid mechanics with the use of the correspondence principles linking viscoelasticity with elasticity. Engineers are becoming increasingly interested in materials that are more likely to behave inelastically than the traditional metallic minerals. Such materials include plastics, synthetic rubbers, composites, metals at elevated temperatures, glacial ice and biomaterials. This, along with more modern technology puts structural components into more hostile environments, creates the need to study the macroscope inelastic effects and the microscopic aspects of material behaviour.