The Mechanical and Thermodynamical Theory of Plasticity

Born out of 15 years of courses and lectures on continuum mechanics, nonlinear mechanics, continuum thermodynamics, viscoelasticity, plasticity, crystal plasticity, and thermodynamic plasticity, The Mechanical and Thermodynamical Theory of Plasticity represents one of the most extensive and in-depth treatises on the mechanical and thermodynamical aspects of plastic and visicoplastic flow. Suitable for student readers and experts alike, it offers a clear and comprehensive presentation of multi-dimensional continuum thermodynamics to both aid in initial understanding and introduce and explore advanced topics.

Covering a wide range of foundational subjects and presenting unique insights into the unification of disparate theories and practices, this book offers an extensive number of problems, figures, and examples to help the reader grasp the subject from many levels. Starting from one-dimensional axial motion in bars, the book builds a clear understanding of mechanics and continuum thermodynamics during plastic flow. This approach makes it accessible and applicable for a varied audience, including students and experts from engineering mechanics, mechanical engineering, civil engineering, and materials science.

Plasticity in the 1-D bar. Vectors and tensors. Describing motion, deformation, and temperature. Elastic, plastic, and thermal deformation. Traction, stress, and heat flux. Balance laws and jump conditions. Infinitesimal plasticity. Solutions for Infinitesimal plasticity. First-gradient thermomechanical materials. Elastic and thermoelastic solids. Finite deformation mechanical theory of plasticity. Thermoplastic solids. Viscoelastic solids. Rate-dependent plasticity. Crystal plasticity. Appendices: A Representation of functions. B Representation for fourth-order constants. C Basic equations. Index.